Question: Find x.

Answer: 3


Question: If $\overline{B E} \cong \overline{E D}$ and $m \widehat{E D}=120,$ find $m \widehat{B E}$

Answer: 120


Question: Find x.

Answer: 2 \sqrt { 221 }


Question: Find $x$ so that $m || n$.

Answer: 27


Question: GRID IN In the figure, the radius of circle $A$ is twice the radius of circle $B$ and four times the radius of circle $C .$ If the sum of the circumferences of the three circles is $42 \pi,$ find the measure of $\overline{A C}$

Answer: 27


Question: Find $m \angle 2$.

Answer: 34


Question: Find the area of a regular hexagon with a perimeter of 72 feet.

Answer: 374.1


Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

Answer: 420


Question: Find the area of the shaded region. Round to the nearest tenth if necessary.

Answer: 108.5


Question: The triangle is inscribed into the circle. Find the exact circumference of the circle.

Answer: 12 \pi


Question: Find x

Answer: 4


Question: Find the area of the shaded sector. Round to the nearest tenth.

Answer: 311.5


Question: Find $x$ in the figure.

Answer: 16


Question: Find $x$.

Answer: 35


Question: In the figure, square $WXYZ$ is inscribed in $\odot R$. Find the measure of a central angle.

Answer: 90


Question: Find y.

Answer: 45


Question: Find $\angle D$ of quadrilateral ABCD

Answer: 45


Question: Find $x$.

Answer: 70


Question:
The diagonals of rhombus FGHJ intersect at K.
If $m\angle FJH = 82$, find $m\angle KHJ$.

Answer: 49


Question: Find $y$ in the given parallelogram

Answer: 15


Question: Find $HK$.

Answer: 10


Question: $\triangle RST \cong \triangle XYZ$. Find $y$.

Answer: 15


Question: Find x. Round to the nearest tenth.

Answer: 24.7


Question: Find DX if $E X=24$ and $D E=7$

Answer: 25


Question: Find $TR$.

Answer: 4


Question: Find z

Answer: 2 \sqrt { 6 }


Question: Find the measure of $\angle 4$ if $m∠4= m∠5$.

Answer: 32


Question: Find the perimeter of the triangle. Round to the nearest tenth if necessary.

Answer: 43.5


Question: If $\overline{QR} \| \overline{XY}, XQ=15, QZ=12$, and $YR=20$, what is the length of $\overline{RZ}$.

Answer: 16


Question: Find $x$.

Answer: 13.9


Question: In $\odot P$, $PS=4$, find the length of $\widehat {QR}$. Round to the nearest hundredth.

Answer: 4.75


Question: Find $y$ if $\triangle JLM \sim \triangle QST$.

Answer: 4


Question: Find $MP$.

Answer: 8


Question: Find x.

Answer: 24 \sqrt { 2 }


Question: For the pair of similar figures, use the given areas to find $x$.

Answer: 10.4


Question: Find the length of $\widehat {ZY}$. Round to the nearest hundredth.

Answer: 5.24


Question: Find the value of x.

Answer: 130


Question: Find $m \angle A B C$ if $m \widehat{A B}=102$

Answer: 129


Question: If $R T=15, Q P=21,$ and $P T=8,$ find $T S$

Answer: 20


Question: $\triangle K L N$ and $\triangle L M N$ are isosceles and $m \angle J K N=130$. Find the measure of $\angle LKN$.

Answer: 81


Question: Find x. Round the side measure to the nearest tenth.

Answer: 34.8


Question: Find sinA

Answer: \sqrt { 26 } / 26


Question: If XM = 4, XN = 6, and NZ = 9, find XY.

Answer: 10


Question:
Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.

Answer: 8


Question: Find $x$.

Answer: \frac { 26 } { 3 }


Question: In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 2$.

Answer: 110


Question: Find the measure of $∠A$ to the nearest tenth.

Answer: 16.7


Question: Find x.

Answer: 2 \sqrt { 13 }


Question: Find $ m ∠RSU $ so that $ m \parallel n $.

Answer: 124


Question: Find tanB

Answer: 5


Question: $RP=3.5$ and $JP=9$. Find $PL$.

Answer: 7


Question: If PR || WX, WX = 10, XY = 6, WY = 8, RY = 5, and PS = 3, find SY

Answer: 4


Question: Find x.

Answer: 2 \sqrt { 5 }


Question: The sum of the circumference of circles $H,J,K$ is $56 \pi$ units. Find $KJ$.

Answer: 24


Question: Solve for x in the figure below.

Answer: 7


Question: Find the measure of $\angle 2$ if $m \angle D G F=53$ and $m \angle A G C=40$.

Answer: 50


Question: Find $x$.

Answer: 4


Question: Find $m \angle D G E$

Answer: 30


Question: Refer to the figure at the right. Find the value of $x$ if $ p \parallel q $.

Answer: 45


Question: Find the length of $WY$

Answer: 9


Question: Find $m\angle U$

Answer: 134


Question: $\Delta DFG$  and $\Delta F G H$ are isosceles, $m \angle FDH=28$ and$\overline{DG} \cong \overline{FG} \cong \overline{FH}$. Find the measure of $\angle GFH$.

Answer: 68


Question: Find y.

Answer: 1.5


Question: If $\overline{PR} \| \overline{KL}, KN=9, LN=16,$ and $PM=2KP$, find $MN$.

Answer: 12


Question: Find $NP$.

Answer: 14


Question: In the figure, $ \overline{JM} \cong \overline{PM}$ and $ \overline{ML} \cong \overline{PL}$. If $m \angle PLJ=34$, find $m \angle JPM$.

Answer: 36.5


Question: Find $x$.

Answer: 12


Question: Find $x$.

Answer: 135


Question: If $\overline{RQ} \cong \overline{RS}$ and $ m ∠RQS  = 75 $, find $ m ∠R $.

Answer: 30


Question: Find $y$ in the figure.

Answer: 40


Question: Find x to the nearest tenth.

Answer: 150


Question: Find $h$ in each triangle.

Answer: 6 \sqrt 3


Question: Find x.

Answer: 10


Question: Find $x$.

Answer: 18


Question: Find x.

Answer: \frac { 4 } { 9 } \sqrt { 3 }


Question: Trapezoid MNPQ has an area of 360 square feet. Find the length of $\overline{MN}$.

Answer: 14


Question: Find x. Round side measures to the nearest tenth.

Answer: 15.1


Question: Each pair of polygons is similar. Find CD

Answer: \frac { 10 } { 3 }


Question: Find the area of the shaded sector. Round to the nearest tenth.

Answer: 7.4


Question: If $\frac{I J}{X J}=\frac{HJ}{YJ}, m \angle W X J=130$, and $m \angle WZG=20,$ find $m \angle JIH$

Answer: 50


Question: If $\overline{W P}$ is a perpendicular bisector, $m \angle WHA=8 q+17$, $m \angle HWP=10+q$, $AP=6 r+4$, and $PH=22+3 r$, find $q$.

Answer: 7


Question: Find x

Answer: 5 \sqrt { 3 }


Question: $a=14, b=48,$ and $c=50$ find $cosB$

Answer: 0.28


Question: Find $x$.

Answer: 9


Question: $\triangle ABC$ is an isosceles triangle with base $BC$. What is the perimeter of the triangle?

Answer: 40


Question: $\overline{XY}$ and $\overline{XZ}$ are midsegments of $\triangle RST$. Find $m \angle RYX$.

Answer: 124


Question: Find x. Assume that segments that appear to be tangent are tangent.

Answer: 4


Question: Find the perimeter of trapezoid PQRS..

Answer: 38 + 6 \sqrt { 2 } + 6 \sqrt { 3 }


Question: Find $m\angle 3$.

Answer: 99


Question: Find $m\angle S$

Answer: 123


Question: Find x.

Answer: 4 \sqrt { 3 }


Question: Find $y$ so that the quadrilateral is a parallelogram.

Answer: 9


Question: Find $x$.

Answer: 107


Question: $m∠11 = 4x$, $m∠12 = 2x -6 $. Find the measure of $\angle 12$.

Answer: 56


Question: Find $m \angle TUV$

Answer: 53


Question: Find x

Answer: 6


Question: Find x

Answer: 4 \sqrt { 6 }


Question: If $m\angle BAD = 38$ and $m\angle BCD = 50$, find $m\angle ADC$.

Answer: 146


Question: Find $m \angle 5$.

Answer: 110


Question: Find the perimeter or circumference of the figure. Round to the nearest tenth.

Answer: 25.1


Question: Find $x$ in the figure.

Answer: 90


Question: A square with side length of $9$ inches is inscribed in $\odot J$. Find the exact circumference of $\odot J$.

Answer: 9 \sqrt 2 \pi


Question: Find $x$.

Answer: 3


Question: If QRST is a parallelogram, find $x$

Answer: 5.4


Question: For trapezoid QRST, M and P are midpoints of the legs. If TS = 2x, PM = 20, and QR = 6x, find x.

Answer: 5


Question: Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.

Answer: 80


Question: Find x.

Answer: 14


Question: Find $m \widehat {PO}$.

Answer: 112


Question: Find the perimeter of the triangle. Round to the nearest tenth if necessary.

Answer: 36


Question: Find $m\angle D$

Answer: 117


Question: Points $P$, $Q$, and $R$ are the midpoints of $\overline{J K}$, $\overline{K L}$, and $\overline{J L}$, respectively. Find $x$ .

Answer: 5.5


Question: Find $h$ in each triangle.

Answer: \frac { 15 \sqrt 2 } { 2 }


Question: Find $XY$.

Answer: 7


Question: Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.

Answer: 4.1


Question: Find the scale factor from $W$ to $W'$.

Answer: 0.75


Question: Find $U B$ if $\triangle R S T \sim \triangle U V W, \overline{T A}$ and $\overline{WB}$ are medians, $T A=8$, $R A=3, W B=3 x-6,$ and $U B=x+2$

Answer: 36


Question: $UJ=9, VJ=3$, and $ZT=18$. Find $JT$.

Answer: 6


Question: If $MNPQ \sim XYZW,$ find the perimeter of $XYZW$.

Answer: 17


Question: Find the area of the figure.

Answer: 64


Question: Find x

Answer: 5 \sqrt { 2 }


Question: Find $m \angle 5$.

Answer: 85


Question: Quadrilateral $WXZY$ is a rhombus. If $m \angle XZY=56$, find $m \angle YWZ$.

Answer: 28


Question: Find the area of the figure in feet. Round to the nearest tenth, if necessary.

Answer: 14.4


Question: Find $x$.

Answer: 21


Question: In $\odot P, P D=10, P Q=10,$ and $Q E=20$, find PE

Answer: 10 \sqrt { 5 }


Question: If $WXYZ$ is a kite, find $ZY$.

Answer: 8 \sqrt { 10 }


Question: Find the area of the regular polygon. Round to the nearest tenth.

Answer: 15.6


Question: If $m \angle AFB = 8x - 6$ and $m \angle BFC = 14x + 8$, find the value of $x$ so that $\angle AFC$ is a right angle.

Answer: 4


Question: Find $x$.

Answer: 170


Question: Find $x$.

Answer: 11.2


Question: Find the area of the figure. Round to the nearest hundredth, if necessary.

Answer: 4


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 50


Question: Find x

Answer: 24


Question: Find x.

Answer: \frac { 13 \sqrt { 2 } } { 2 }


Question: Find the measure of $\angle 1$.

Answer: 56


Question: Find $y$.

Answer: 3


Question: Use parallelogram ABCD to find $m\angle BCD$

Answer: 52


Question: In $\odot A, m \angle E A D=42$. Find $m \widehat{C D}$

Answer: 138


Question: For the pair of similar figures, use the given areas to find the scale factor from the blue to the green figure.

Answer: \frac { \sqrt { 3 } } { 2 }


Question: Find x.

Answer: 4 \sqrt { 13 }


Question: Find $x$. (Hint: Draw an auxiliary line.)

Answer: 130


Question: Find z

Answer: 2 \sqrt { 6 }


Question: In $\odot F$, find $m \widehat {AED}$.

Answer: 153


Question: Find $y$ in the figure.

Answer: 26.3


Question: For trapezoid $ABCD$, $S$ and $T$ are midpoints of the legs. If $AB=3x$, $ST=15$, and $CD=9x$, find $x$.

Answer: 2.5


Question: If $BT = 5$ and $TC = 8$, find $CD$.

Answer: \sqrt { 89 }


Question: If $QR=2$, $XW=12$, $QW=15$, and $ST=5$, find $RS$.

Answer: 8


Question: In $\odot W$, $\widehat {RS} \cong \widehat {TV}$. Find $RS$.

Answer: 11


Question: In the figure, $m∠8 = 96$ and $m∠12 = 42$. Find the measure of $\angle 9$.

Answer: 84


Question: $\overline{JH}, \overline{JP},$ and $\overline{PH}$ are midsegments of $\triangle KLM$. Find $x$.

Answer: 50


Question: Find y

Answer: \frac { 5 } { 3 }


Question: Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.

Answer: 14


Question: If $c=8,$ find $b$

Answer: 4 \sqrt { 3 }


Question: Find $m\angle T$

Answer: 58


Question: Find the area of the shaded region. Round to the nearest tenth.

Answer: 68.7


Question: Segments $\overline{AD}$ and $\overline{CE}$ are medians of $\triangle ACB, \overline{AD} \perp \overline{CE}, AB=10$, and $CE=9$. Find $CA$

Answer: \sqrt { 52 }


Question: In $\triangle RST$, $Z$ is the centroid and $RZ=18$. Find $ZV$.

Answer: 9


Question: Find x.

Answer: 45


Question: In $\odot B$, the diameter is 20 units long, and $m \angle A C E=45$ Find $x$

Answer: \sqrt { 2 }


Question: Find $x$.

Answer: 145


Question: Find $m \angle T$.

Answer: 135


Question: Find $x$.

Answer: 7


Question: In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 5$.

Answer: 64


Question: Triangle $CDE$ has an area of 336 square inches. Find $CE$.

Answer: 28


Question: Find $x$ in the figure.

Answer: 16


Question: Find the area of the shaded region. Round to the nearest tenth.

Answer: 449.0


Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

Answer: 259.9


Question:
Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.
Find the perimeter of trapezoid ABCD

Answer: 73.2


Question: In $\odot B$, $m \angle LBM = 3x$ and $m \angle LBQ = 4x + 61$. What is the measure of $\angle PBQ$?

Answer: 51


Question: Find x. Round the angle measure to the nearest degree.

Answer: 40


Question: Find $m \angle 1$.

Answer: 108


Question: Find x

Answer: 22


Question: If $m\angle ZYW = 2x - 7$ and $m \angle WYX = 2x + 5$, find $m\angle ZYW$.

Answer: 39


Question: Find $m\angle B$

Answer: 90


Question: Find $x$ in each figure.

Answer: 31


Question: Find $m \angle 6$.

Answer: 45


Question: Find x

Answer: \frac { 17 \sqrt { 2 } } { 2 }


Question: If $FK = 3x - 1$, $KG = 4y + 3$, $JK = 6y - 2$, and $KH = 2x + 3$, find $x$ so that the quadrilateral is a parallelogram.

Answer: 4


Question:
In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find $m\widehat{A B}$

Answer: 80


Question: Find $m \angle Q$

Answer: 70


Question: Triangle $WXY$ has an area of 248 square inches. Find the length of the base.

Answer: 31


Question: Find $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.

Answer: 5.6


Question: Find $m \angle 4$.

Answer: 125


Question: If WXYZ is a kite, find $YZ$

Answer: \sqrt { 89 }


Question: Find x. Round to the nearest tenth.

Answer: 5.2


Question: Find the measure of $\angle B$

Answer: 46


Question: Find $m \angle A G E$

Answer: 120


Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

Answer: 665.1


Question: $a=14, b=48,$ and $c=50$, find $tanB$

Answer: 3.43


Question: Find x

Answer: 22.5


Question: Find $x$.

Answer: 6


Question: Find $x$ so that the quadrilateral is a parallelogram

Answer: 11


Question:
Use rhombus XYZW with $m \angle W Y Z=53, V W=3$, $X V=2 a-2,$ and $Z V=\frac{5 a+1}{4}$
Find  XZ

Answer: 8


Question:
Use rhombus XYZW with $m \angle W Y Z=53, V W=3$, $X V=2 a-2,$ and $Z V=\frac{5 a+1}{4}$
Find  $m \angle X Y W$

Answer: 53


Question: In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 7$.

Answer: 49


Question: Find x

Answer: 8 \sqrt { 3 }


Question: Find $x$.

Answer: 25


Question: In the figure, $ \triangle ABC$ is isosceles, $ \triangle DCE$ is equilateral, and $ \triangle FCG$ is isosceles. Find the measures of the $\angle 3$ at vertex $C$.

Answer: 26


Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

Answer: 103.9


Question: Find y.

Answer: \frac { 3 } { 2 }


Question: Find $y$ and so that each quadrilateral is a parallelogram.

Answer: \frac { 4 } { 3 }


Question: In $\triangle A B C, \overline{B D}$ is a median. If $A D=3 x+5$ and $C D=5 x-1$, find  AC .

Answer: 28


Question: Find y

Answer: 32.6


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 261


Question: Find $m \angle B$.

Answer: 30


Question: Find $m \angle 2$.

Answer: 52


Question: The triangle is inscribed into the circle. Find the exact circumference of the circle.

Answer: 17 \pi


Question: Find the area of the triangle. Round to the nearest tenth if necessary.

Answer: 137.5


Question: Use parallelogram MNPR to find $m \angle MQN$

Answer: 97


Question: Find x.

Answer: 20 \sqrt { 2 }


Question: If $a=4,$ find $b$

Answer: 4 \sqrt { 3 }


Question: In the figure, $m ∠1 = 53$. Find the measure of $∠6$.

Answer: 53


Question: Find the area of the quadrilateral.

Answer: 240


Question: Find $JK$.

Answer: 14


Question: Find $AB$.

Answer: 29


Question: Find x. Assume that segments that appear to be tangent are tangent.

Answer: 145


Question: Find $x$.

Answer: 2


Question: Find $z$.

Answer: 20


Question: $\overline{PM}$ is a diameter of $\odot R$. Find $m \widehat {MQ}$.

Answer: 65


Question: Find y.

Answer: 30


Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

Answer: 1448.0


Question: Assume that the segment is tangent, find the value of $x$.

Answer: 3


Question: Express the ratio of $ \cos C $ as a decimal to the nearest hundredth.

Answer: 0.80


Question: Find the area of the triangle. Round to the nearest hundredth.

Answer: 6.79


Question: Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.

Answer: 38.4


Question: Find x.

Answer: 6


Question: If PR || WX, WX = 10, XY = 6, WY = 8, RY = 5, and PS = 3, find PQ

Answer: 6


Question: Find y

Answer: \frac { 19 \sqrt { 2 } } { 2 }


Question: Find $x$ so that the quadrilateral is a parallelogram.

Answer: 8


Question: Find the area of the shaded region. Round to the nearest tenth.

Answer: 7.9


Question: If $ABCDE \sim PQRST,$ find the perimeter of $PQRST$.

Answer: 22.5


Question: Find the value of the variable $x$ in the figure.

Answer: 70


Question: Each triangle in the figure is a $45^{\circ}-45^{\circ}-90^{\circ}$ triangle. Find $x$.

Answer: \frac { 3 } { 2 }


Question: Find $m\angle L$

Answer: 52


Question: The segment is tangent to the circle. Find $x$.

Answer: 20


Question: Find the area of the triangle. Round to the nearest tenth if necessary.

Answer: 20


Question: Find the area of the parallelogram.

Answer: 396


Question: Find $x$ in parallelogram $ABCD$.

Answer: 7.2


Question: If QRST is a parallelogram, Find $z$

Answer: 11


Question: Refer to the figure at the right. Find the value of $m ∠ ABD $ if $ p \parallel q $.

Answer: 75


Question: Find $KL$.

Answer: 24


Question:
In $\odot D, \overline{D E} \cong \overline{E C}, m \widehat{C F}=60,$ and
$\overline{D E} \perp \overline{E C} .$ Find $m \angle 5$

Answer: 30


Question: For trapezoid $D E G H, X$ and $Y$ are midpoints of the legs. Find $D E$

Answer: 8


Question: Point $S$ is the incenter of $\triangle JPL$. Find $m \angle MPQ$.

Answer: 56


Question: Find x.

Answer: 40


Question: Find $m \angle 8$.

Answer: 28.5


Question: Find the height of the parallelogram given its area with 100 square units.

Answer: 5


Question: Find y

Answer: 16


Question: The height of a triangle is 5 centimeters more than its base. The area of the triangle is 52 square centimeters. Find the height.

Answer: 13


Question: Find the diameter of circle M.

Answer: 38.0


Question: Find $RT$.

Answer: 8


Question: Find $x$.

Answer: 20


Question: $\overline{E C}$ and $\overline{A B}$ are diameters of $\odot O$.  Find its measure of $\widehat{A C B}$.

Answer: 180


Question: Use parallelogram $JKLM$ to find $m \angle JML$.

Answer: 80


Question: Find $m\angle C$

Answer: 127


Question: If QRST is a kite, find $m\angle RST$.

Answer: 78


Question:
In $\odot P, m \widehat{E N}=66$ and $m \angle G P M=89$ .
Find $m \angle G M E$

Answer: 57


Question: Find $x$ if $AC=x-3$, $BE=20, AB=16,$ and $CD=x+5$

Answer: 35


Question: Find $ED$ if $AE=3, AB=2$, $BC=6,$ and $ED=2x-3$

Answer: 9


Question: Use a Pythagorean Triple to find x.

Answer: 34


Question: Find $x$.

Answer: 5


Question: Find EC

Answer: 4.8


Question: Find $m \angle R$.

Answer: 32


Question: Find x.

Answer: 4 \sqrt { 2 }


Question: Find x

Answer: 30


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 340


Question: Find the perimeter of the triangle.

Answer: 71.7


Question: Find the value of $x$ in the diagram.

Answer: 13


Question: $\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {CGD}$.

Answer: 305


Question: Lines $l$, $m$, and $n$ are perpendicular bisectors of $\triangle PQR$ and meet at $T$. If $TQ = 2x$, $PT = 3y - 1$, and $TR = 8$, find $y$.

Answer: 3


Question: Find x

Answer: 44.9


Question: Find the measure of $\angle 7$ if $\overline{A B} \perp \overline{B C}$.

Answer: 140


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 53.4


Question: In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 6$.

Answer: 38


Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

Answer: 315


Question:
Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.

Answer: 6


Question: Find y.

Answer: 3


Question: Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.

Answer: 46


Question: Find x.

Answer: 15


Question: Find $x$.

Answer: 50


Question: If $R T=16, Q P=24,$ and $S T=9,$ find $P S$

Answer: 13.5


Question: Find $CP$.

Answer: 8


Question: Circle $O$ has a radius of $10, A B=10$ and $m \overrightarrow{A B}=60 .$ Find $m\widehat{A Y}$

Answer: 30


Question: Let $\overline{J K}$ be the median of $A B T Q .$ Find $J K$

Answer: 78


Question:
Find the perimeter of each polygon for the given information.
$B Y=C Z=A X=2.5$
diameter of $\odot G=5$

Answer: 15 \sqrt { 3 }


Question: In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\angle 1$.

Answer: 123


Question: Find y

Answer: 30


Question: Find $m \angle T$.

Answer: 55


Question: Find $m\angle B$

Answer: 120


Question: Find $m \angle 3$.

Answer: 51


Question: Find x.

Answer: 7 \sqrt { 2 }


Question: Each pair of polygons is similar. Find y

Answer: 48.45


Question: Find $CD$ if $AB=6, AF=8, BC=x, CD=y$, $DE=2y-3,$ and $FE=x+\frac{10}{3}$

Answer: 9


Question: Find the measure of $ \angle 1$ in the figure.

Answer: 80


Question: Find $x$ so that the quadrilateral is a parallelogram

Answer: 3


Question: What is the area of the shaded region if $r=4$.

Answer: 64 - 16 \pi


Question: Rhombus $RSTU$ has an area of 675 square meters. Find $SU$.

Answer: 45


Question: Use parallelogram $JKLM$ to find JK

Answer: 6


Question: Find x in the figure.

Answer: 16


Question: $\overline{QS}$ is a diameter of $\odot V$. Find $m \widehat {STP}$.

Answer: 147


Question: Find the measure of $\angle 1$.

Answer: 70


Question: Find $x$. $A = 78$ cm$^2$.

Answer: 8.0


Question: Find x.

Answer: 5 \sqrt { 3 }


Question: Find $x$ so that the quadrilateral is a parallelogram

Answer: 2


Question: In $\odot C$, $m \angle HCG=2x$ and $m \angle HCD=6x+28$, find $m \widehat {HD}$.

Answer: 142


Question: In the figure, the vertices of quadrilateral ABCD intersect square EFGH and divide its sides into segments with measures that have a ratio of 1:2. Find the area of ABCD.

Answer: 45


Question: Find the measure of $XT$.

Answer: 7


Question: In $\odot A, m \angle E A D=42$. Find $m \widehat{E D B}$

Answer: 222


Question: $m \widehat{J H}=114$ Find $m\angle 1$

Answer: 33


Question: Find the value of the variable w.

Answer: 8


Question: Find y.

Answer: 14


Question: Given $a ∥ b$, find $m∠1$.

Answer: 79


Question: In the figure, $ \triangle ABC$ is isosceles, $ \triangle DCE$ is equilateral, and $ \triangle FCG$ is isosceles. Find the measures of the $\angle 5$ at vertex $C$.

Answer: 18


Question: In $\Delta G H J$, $H P=5 x-16$, $P J=3 x+8$, $m \angle G J N=6 y-3$, $m \angle N J H=4 y+23$ and $m \angle H M G=4 z+14$. Find $m∠GJH$ if $\overline{JN}$ is an angle bisector.

Answer: 150


Question: Find $x$.

Answer: 8


Question: Find $m \angle A G D$

Answer: 90


Question: Find the measure of $∠T$ to the nearest tenth.

Answer: 64.6


Question: Find the perimeter of the triangle. Round to the nearest tenth if necessary.

Answer: 80


Question: In the figure, below, square $A B C D$ is attached to $\triangle A D E$ as shown. If $m \angle E A D$ is $30^{\circ}$ and $A E$ is equal to $4 \sqrt{3}$, then what is the area of square $A B C D $?

Answer: 64


Question: Find the area of the figure. Round to the nearest tenth.

Answer: 12


Question: Find $m \angle 2$.

Answer: 39


Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

Answer: 153


Question: Find $m\angle X$

Answer: 36


Question:
Use rhombus $A B C D$ with $m \angle 1=2 x+20, m \angle 2=5 x-4$, $A C=15,$ and $m \angle 3=y^{2}+26 .$
Find x

Answer: 8


Question: Find the area of the figure.

Answer: 150


Question: Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.

Answer: 4.1


Question: In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 8$.

Answer: 116


Question: Each pair of polygons is similar. Find AB

Answer: \frac { 16 } { 3 }


Question: Find $y$.

Answer: 8


Question: The diameters of $\odot A, \odot B,$ and $\odot C$ are $8$ inches, $18$ inches, and $11$ inches, respectively. Find $FB$.

Answer: 5


Question: Find y so that $e || f$.

Answer: 20


Question:
In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$.
Find $m \widehat{B C D}$

Answer: 150


Question: In the figure, $m∠1 = 123$. Find the measure of $\angle 11$.

Answer: 123


Question:
MNQR is a rectangle. If $N R=2 x+10$ and $N P=2 x-30$
find $M P$

Answer: 40


Question: Find x. Round side measures to the nearest tenth.

Answer: 4.1


Question: Find the measure of the altitude drawn to the hypotenuse.

Answer: \sqrt { 26 }


Question: $\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {ACF}$.

Answer: 270


Question: Find $m \angle ACB$.

Answer: 136


Question: Find y.

Answer: 3 \sqrt { 13 }


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 39.4


Question: Find the measure of $\angle 6$.

Answer: 140


Question: What is the value of x in the figure?

Answer: 26


Question: Refer to the figure at the right. The orthocenter of $\triangle A B C$ is located 6.4 units from point $D$. Find $B C$.

Answer: 10.03


Question: If $EN=13$, what is the diameter of the circle?

Answer: 26


Question: In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 3$.

Answer: 116


Question: Find the area of the trapezoid.

Answer: 272


Question: In right triangle $ABC$ shown below, what is the measure of $∠ A$ to the nearest tenth of a degree?

Answer: 38.9


Question: Find x. Assume that any segment that appears to be tangent is tangent.

Answer: 9


Question:
Use rhombus XYZW with $m \angle W Y Z=53, V W=3$, $X V=2 a-2,$ and $Z V=\frac{5 a+1}{4}$
Find  XW

Answer: 5


Question:
In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$.
Find $m \widehat{A B}$

Answer: 30


Question: Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.

Answer: 5


Question: Find z

Answer: 25


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 54


Question: Find x

Answer: 18


Question: Find x

Answer: 6


Question: Quadrilateral $ABCD$ is a rhombus.  If $m\angle DPC = 3x – 15$, find $x$.

Answer: 35


Question: $∠6$ and $∠8$ are complementary, $m∠8 = 47$. Find the measure of $\angle 6$.

Answer: 43


Question: Find $m \angle K$.

Answer: 117


Question: Find $y$ if $m∠5 = 68$ and $m∠3 = 3y - 2$.

Answer: 38


Question: Find x so that $GJ \parallel FK$. GF = 12, HG = 6, HJ = 8, JK = x - 4.

Answer: 20


Question: Find $m \widehat{E D B}$ if $m \widehat{F E}=118, m \widehat{A B}=108$, $m \angle E G B=52,$ and $m \angle E F B=30$.

Answer: 15


Question: Find $m\angle R$

Answer: 150


Question: $\ln \odot K$, $ M N=16$ and $m \widehat{M N}=98$. Find the measure of $m \widehat{NJ}$. Round to the nearest hundredth.

Answer: 131.00


Question: Find the perimeter of $\triangle C B H,$ if $\triangle C B H \sim \triangle F E H, A D E G$ is a parallelogram, $C H=7, F H=10$, $F E=11,$ and $E H=6$.

Answer: 18.9


Question: Find x. Assume that segments that appear to be tangent are tangent.

Answer: 9


Question: $m \angle 2=2 x, m \angle 3=x$ Find $m\angle 1$

Answer: 30


Question: If $\overline{PR} \| \overline{KL}, KN=9, LN=16,$ and $PM=2KP$, find $ML$.

Answer: 20


Question: Find $SW$.

Answer: 16


Question: $\overline{GJ}$ is a diameter of $\odot K$. Find $m \widehat {GLH}$.

Answer: 238


Question: If $ABCD$ is a kite, Find $m \angle C$

Answer: 70


Question: Find the perimeter of the triangle. Round to the nearest tenth if necessary.

Answer: 13.2


Question: Triangle RST is circumscribed about the circle below. What is the perimeter of the triangle?

Answer: 36


Question: Find $m \angle PQS$.

Answer: 42


Question: Find x. Round to the nearest tenth if necessary.

Answer: 2


Question: Find $x$ in the figure.

Answer: 34


Question: Find y in the parallelogram

Answer: 8


Question: Find the variable of $b$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.

Answer: 11.3


Question: Find y.

Answer: 15


Question: Find x.

Answer: 4 \sqrt { 3 }


Question: Find the area of the triangle. Round to the nearest hundredth.

Answer: 23.39


Question: Find the perimeter of $▱ ABCD$.

Answer: 28


Question: Solve for x in the figure.

Answer: 4


Question: In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠15$.

Answer: 55


Question: In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠7$.

Answer: 58


Question: For trapezoid QRST, M and P are midpoints of the legs. If TS = 2x + 2, QR = 5x + 3, and PM = 13, find TS.

Answer: 8


Question: Find the measure of $\angle R$

Answer: 122


Question: Find the circumference of $\odot S$. Round to the nearest hundredth.

Answer: 40.83


Question: Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.

Answer: 168.2


Question: $\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {GCF}$.

Answer: 325


Question: Find the measure of $\angle 3$.

Answer: 49


Question: Find $JK$.

Answer: 24


Question: In the figure, $m∠4 = 104$, $m∠14 = 118$. Find the measure of $\angle 7$.

Answer: 76


Question: Find x. Assume that segments that appear to be tangent are tangent.

Answer: 13


Question: Find $x$.

Answer: 71


Question: Find x.

Answer: \frac { 15 } { 2 } \sqrt { 3 }


Question: $\overline{QS}$ is a diameter of $\odot V$. Find $m \widehat {QRT}$.

Answer: 255


Question: Find $BC$.

Answer: 10


Question: Find x. Assume that segments that appear to be tangent are tangent.

Answer: 18


Question: Find the measure of $\angle 1$ if $m∠DGF = 53$ and $m∠AGC = 40$.

Answer: 37


Question: Find $KL$.

Answer: 14


Question: Find $x$.

Answer: 48


Question: $\triangle K L N$ and $\triangle L M N$ are isosceles and $m \angle J K N=130$. Find the measure of $\angle LNM$.

Answer: 20


Question: Find $x$.

Answer: 7


Question: Find x

Answer: 14 \sqrt { 3 }


Question: $P Q R S$ is a rhombus inscribed in a circle. Find $m \angle Q R P$

Answer: 45


Question: Find y.

Answer: \frac { 15 } { 2 }


Question: ABCD is a rhombus. If EB = 9, AB = 12 and $m\angle ABD = 55$ . Find $m\angle ACB$

Answer: 35


Question: Find y. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth if necessary.

Answer: 12.6


Question: Use parallelogram JKLM to find b if $J K=2 b+3$ and $J M=3 a$.

Answer: 21


Question: According to the Perpendicular Bisector Theorem, what is the length of segment AB below?

Answer: 2.5


Question: Find x. Round side measures to the nearest tenth.

Answer: 8.1


Question: Find $x$.

Answer: 8


Question: Find $x$.

Answer: 93


Question: Find $m\angle C$

Answer: 120


Question: Find $x$ so that $p ∥ q$.

Answer: 9


Question: Find $m \angle 1$.

Answer: 62


Question:
$A B C D$ is a rectangle. If $A C=30-x$ and $B D=4 x-60$
find $x$

Answer: 18


Question: Find x in the figure.

Answer: 31


Question: Find x.

Answer: 2 \sqrt { 10 }


Question: Express the ratio of $\sin A$ as a decimal to the nearest hundredth.

Answer: 0.38


Question: Find $x$ so that $p \parallel q$.

Answer: 44


Question: Express the ratio of $\tan Q$ as a decimal to the nearest hundredth.

Answer: 0.53


Question: If $J L=27, B L=9,$ and $J K=18,$ find $J A$.

Answer: 12


Question: Find $m\angle Z X V$

Answer: 115


Question: Find $m\angle G$

Answer: 107


Question: If $x=7 \sqrt{3},$ find $a$

Answer: 14 \sqrt { 3 }


Question: Find the area of the kite.

Answer: 178.5


Question: Find $MN$.

Answer: 29


Question: In the figure, $m∠3 = 43$. Find the measure of $\angle 7$.

Answer: 43


Question: Find x.

Answer: 32.2


Question: Find the area of the triangle. Round to the nearest hundredth.

Answer: 0.92


Question: For the pair of similar figures, use the given areas to find $x$.

Answer: 20.0


Question: In the figure, $m ∠9 = 75$. Find the measure of $\angle 3$.

Answer: 75


Question: $P$ is the incenter of $\triangle AEC$. Find $m \angle DAC$.

Answer: 33


Question:
If KLMN is a parallelogram, find the value of the indicated variable.
Find x

Answer: 4


Question: Find $m \angle P$.

Answer: 70


Question: If $QV=8$, what it the diameter of $\odot Q$.

Answer: 16


Question: Find the area of the figure.

Answer: 77


Question: Find x.

Answer: 5


Question: Points $S$, $T$, and $U$ are the midpoints of $\overline{DE}$, $\overline{EF}$, and $\overline{DF}$, respectively. Find $y$.

Answer: 5.8


Question: Find the area of the kite.

Answer: 137.5


Question: Find x to the nearest hundredth.

Answer: 8.39


Question: Find $b$.

Answer: 18


Question: Find the area of the regular polygon. Round to the nearest tenth.

Answer: 584.2


Question: Find y.

Answer: 5 \sqrt { 33 }


Question: Find x

Answer: 4


Question: $\ln \odot K$, $ M N=16$ and $m \widehat{M N}=98$. Find the measure of $LN$. Round to the nearest hundredth.

Answer: 8.94


Question: Find the radius of $\odot K$. Round to the nearest hundredth.

Answer: 19.00


Question: Find y.

Answer: 10 \sqrt { 3 }


Question: Find the length of $CB$ in the isosceles triangle ABC.

Answer: 7


Question: Find the area of the triangle. Round to the nearest hundredth.

Answer: 6.02


Question: Use parallelogram MNPR to find $z$

Answer: 6.1


Question: Find the length of $XW$

Answer: 9


Question: Use parallelogram ABCD to find $y$

Answer: 6


Question: In $\odot R$, If $SU=16.2$, what is $RT$?

Answer: 8.1


Question: For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure.

Answer: \frac { 3 } { 2 }


Question:
In $\odot O, \overline{E C}$ and $\overline{A B}$ are diameters, and $\angle B O D \cong \angle D O E \cong \angle E O F \cong \angle F O A$
Find $m\widehat{C B F}$

Answer: 225


Question: In the figure, $ \overline{GK} \cong \overline{GH}$ and $ \overline{HK} \cong \overline{KJ}$. If $m \angle HGK=42$, find $m \angle HJK$.

Answer: 34.5


Question: WXYZ is a kite. If $m\angle WXY = 13x + 24$, $m\angle WZY = 35$, and $m\angle ZWX = 13x + 14$, find $m\angle ZYX$.

Answer: 105


Question: Find $y$ in the given parallelogram

Answer: 2


Question: Find z

Answer: 4 \sqrt { 3 }


Question: Line $l$ is parallel to line $m$. What is the value of $x$?

Answer: 50


Question: If $AD=27,AB=8$, and $AE=12$, find $BC$.

Answer: 10


Question: Find y. Round to the nearest tenth.

Answer: 25.9


Question: Find $x$.

Answer: 45


Question: Find $m \angle 2$.

Answer: 39


Question: Find x. Round to the nearest tenth, if necessary.

Answer: 14.3


Question: A plane travels from Des Moines to Phoenix, on to Atlanta, and back to Des Moines, as shown below. Find the distance in miles from Des Moines to Phoenix if the total trip was 3482 miles.

Answer: 1153


Question: Find VW

Answer: 12


Question: Find the area of the kite.

Answer: 72


Question: Find $x$.

Answer: 18


Question: Find $y$ so that each quadrilateral is a parallelogram.

Answer: 9


Question: Find $m \angle 1$.

Answer: 128


Question: Find x

Answer: 28.2


Question: Find $m \angle 3$.

Answer: 55


Question: Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.

Answer: 10


Question: Find $y$ so that the quadrilateral is a parallelogram

Answer: 9


Question: Find $m \angle 2$.

Answer: 20


Question: Find y.

Answer: 4 \sqrt { 3 }


Question: Find x

Answer: 8 \sqrt { 3 }


Question: Polygons $FGHJK$ and $VWXUZ$ are similar regular pentagons. Find the scale factor.

Answer: 2:3


Question: Find x

Answer: 20


Question:
In $\odot Z, \angle W Z X \cong \angle X Z Y, m \angle V Z U=4 x$, $m \angle U Z Y=2 x+24,$ and $\overline{V Y}$ and $\overline{W U}$ are diameters.
Find $m\widehat{W X}$

Answer: 52


Question:
Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.
Find AG

Answer: 7.5


Question: Find the measure of $\angle 5$ if $m∠4= m∠5$.

Answer: 32


Question: Circles $G, J,$ and $K$ all intersect at $L$ If $G H=10,$ find JK

Answer: 2.5


Question: Find x.

Answer: \sqrt { 285 }


Question: If PR || KL, KN = 9, LN = 16, PM = 2 KP, find ML

Answer: 20


Question: Find $HJ$.

Answer: 15


Question: Find the measure of $m \widehat{GH}$.

Answer: 56


Question: If $\overline{K H}$ is parallel to $\overline{JI}$, find the measure of  $\angle 3$

Answer: 90


Question: For trapezoid $R S T V, A$ and $B$ are midpoints of the legs. Find $V T$.

Answer: 4


Question: Find $m \angle A$.

Answer: 20


Question: Use parallelogram ABCD to find $m \angle FBC $

Answer: 34


Question: If $\overline{W P}$ is a median and an angle bisector, $A P=3 y+11$, $P H=7 y-5$, $m \angle H W P=x+12$, $m \angle P A W=3 x-2$, and $m \angle H W A=4 x-16$, find $y$.

Answer: 4


Question: In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 2$.

Answer: 80


Question: Find x

Answer: \sqrt { 15 }


Question: Find the perimeter or circumference of the figure. Round to the nearest tenth.

Answer: 8.6


Question: Find $x$ in the figure.

Answer: 34


Question: Find x. Assume that segments that appear to be tangent are tangent.

Answer: 50


Question: Find $x$.

Answer: 2


Question: Find AX if $E X=24$ and $D E=7$

Answer: 24


Question: One side of a square is a diameter of a circle. The length of one side of the square is 5 feet. To the nearest hundredth, what is the probability that a point chosen at random is in the shaded region?

Answer: 0.44


Question: Find x

Answer: 130


Question: Find the value of the variable $x$ in the figure.

Answer: 42


Question: Find $m\angle U$

Answer: 60


Question: In the figure consisting of squares $A$, $B$, and $C$, $JK = 2KL$ and $KL = 2LM$. If the perimeter of the figure is 66 units, what is the area?

Answer: 189


Question: For trapezoid QRST, M and P are midpoints of the legs. If QR = 16, PM = 12, and TS = 4x, find x.

Answer: 2


Question: In the figure, $m∠3 = 43$. Find the measure of $\angle 10$.

Answer: 137


Question: Find $RS$.

Answer: 20


Question: Find the area of the shaded region. Round to the nearest tenth if necessary.

Answer: 45.7


Question:
In $\odot Z, \angle W Z X \cong \angle X Z Y, m \angle V Z U=4 x$, $m \angle U Z Y=2 x+24,$ and $\overline{V Y}$ and $\overline{W U}$ are diameters.
Find $m\widehat{U Y}$

Answer: 76


Question: Find $y$.

Answer: 16


Question:
Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.
Find BC

Answer: 12.8


Question: Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.

Answer: 92


Question: Find the measure of the altitude drawn to the hypotenuse.

Answer: 7 \sqrt { 3 }


Question: Find x. Round the angle measure to the nearest degree.

Answer: 72


Question: Quadrilateral DEFG is a rectangle. If DE = 14 + 2x and GF = 4(x - 3) + 6, find GF.

Answer: 34


Question: Find x.

Answer: 7 \sqrt { 2 }


Question: Use parallelogram WXYZ to find $WZ$

Answer: 24


Question: Find x. Assume that segments that appear to be tangent are tangent.

Answer: 7


Question: In the figure, $m∠1 = 123$. Find the measure of $\angle 6$.

Answer: 57


Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

Answer: 106.1


Question: Find $m \widehat{TU}$.

Answer: 46


Question: Find $BC$.

Answer: 23


Question: Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 8$ if $m∠1 = 30$.

Answer: 30


Question: Find $UZ$.

Answer: 18


Question: Find x

Answer: 3


Question: For isosceles trapezoid $X Y Z W$ find $m \angle Z$

Answer: 110


Question: Find the area of the quadrilateral.

Answer: 499.5


Question: Assume that the segment is tangent, find the value of $x$.

Answer: \sqrt { 93 }


Question: Find $m\angle E$

Answer: 102


Question: Find $x$ so that $ m \parallel n $.

Answer: 9


Question: Use parallelogram ABCD to find BC

Answer: 9


Question: Find $y$.

Answer: 5


Question: Find $x$.

Answer: 115


Question: Find $WT$, if $ZX = 20$ and $TY = 15$

Answer: 5


Question: Each pair of polygons is similar. Find x

Answer: 30


Question: The segment is tangent to the circle. Find $x$. Round to the nearest tenth.

Answer: 10.7


Question: Find $m\angle A$

Answer: 90


Question: Find the measure of $\angle 6$ if $\overline{A B} \perp \overline{B C}$.

Answer: 26


Question: Find $m \angle 2$.

Answer: 73


Question: $\odot P$ is inscribed in equilateral triangle $LMN$. What is the circumference of $\odot P$?

Answer: \frac { 8 } { \sqrt 3 } \pi


Question: Find $E D$ if $A B=6, B C=4,$ and $A E=9$

Answer: 6


Question: In rhombus $A B C D, m \angle D A B=2, m \angle A D C$ and $C B=6$. Find DA

Answer: 6


Question:
Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.

Answer: 5


Question: Use a Pythagorean Triple to find x.

Answer: 50


Question: Find the perimeter of the figure.

Answer: 44


Question: Find the measure of $\angle 4$ in the figure.

Answer: 60


Question: In the figure, $\overline{CP}$ is an altitude, $\overline{CQ}$ is the angle bisector of $∠ACB$, and $R$ is the midpoint of $\overline{AB}$. Find  $x$ if $m∠APC=72+x$.

Answer: 18


Question:
 In $\odot Z, P Z=Z Q$, $X Y=4 a-5,$ and $S T=-5 a+13$
Find $S Q$

Answer: 1.5


Question: If $\overline{PR} \| \overline{WX}, WX=10, XY=6, WY=8, RY=5,$ and $PS=3,$ find $PQ$.

Answer: 6


Question: Find $RS$.

Answer: 25


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 500


Question: In $\triangle ACE$, P is the centroid. $PF=6$ and $AD=15$. Find $PC$.

Answer: 12


Question: If $M D=7,$ find $R I$

Answer: 14


Question: Find $\angle 6$

Answer: 110


Question: Quadrilateral DEFG is a rectangle. If $DF = 2(x + 5) - 7$ and $EG = 3(x - 2)$, find EG.

Answer: 21


Question: Find $m \angle M$.

Answer: 30


Question: Refer to trapezoid $CDFG$ with median $\overline{HE}$. Find $GF$.

Answer: 30


Question: Find $m \angle H$.

Answer: 106


Question: Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.

Answer: 17.1


Question: Find the measure of $\angle S$

Answer: 71


Question: Find $y$ so that each quadrilateral is a parallelogram.

Answer: 24


Question: Find x.

Answer: 12


Question:
In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$.
Find $m \widehat{B C}$

Answer: 60


Question: In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 11$.

Answer: 116


Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

Answer: 480


Question: Use parallelogram to find $b$

Answer: 3


Question: Find the area of the shaded sector. Round to the nearest tenth, if necessary.

Answer: 10.0


Question: Find $BD$.

Answer: 5


Question: If $QR=2$, $XW=12$, $QW=15$, and $ST=5$, find $WV$.

Answer: 7.5


Question: Express the ratio of $\tan C$ as a decimal to the nearest hundredth.

Answer: 0.75


Question: Find x.

Answer: 6


Question:
In rhombus LMPQ, $m \angle Q L M=2 x^{2}-10$, $m \angle Q P M=8 x$,  and $M P=10$ .
Find $m\angle LQM$

Answer: 70


Question: Find $y$.

Answer: 7.5


Question: For trapezoid QRTU, V and S are midpoints of the legs. If QR = 12 and UT = 22, find VS.

Answer: 17


Question: Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.

Answer: 3.1


Question: $J$ is the incenter of $\angle ABC$. Find $JF$.

Answer: 9


Question: Find the area of the trapezoid.

Answer: 84


Question: Find z.

Answer: \sqrt { 646 }


Question: Find x

Answer: \frac { 40 } { 3 }


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 286


Question: What is the perimeter of the triangle shown below? Round to the nearest tenth.

Answer: 325.6


Question: Find $x$.

Answer: 60


Question: The diameters of $\odot A, \odot B,$ and $\odot C$ are 10, 30 and 10 units, respectively. Find AZ if $\overline{A Z} \cong \overline{C W}$ and $C W=2$

Answer: 2


Question: Find $m\angle D$

Answer: 101


Question: Find the perimeter of the figure.

Answer: 50


Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

Answer: 1520


Question: The radius of $\odot P$ is 5 and $P R=3$. Find QS

Answer: 8


Question: Find the area of the kite.

Answer: 10.5


Question: Quadrilateral WXYZ is a rectangle.  If $ZY = 2x + 3$ and $WX = x + 4$, find $WX$.

Answer: 5


Question: Find x. Round the side measure to the nearest tenth.

Answer: 37.2


Question: Find $YZ$.

Answer: 8


Question: In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠8$.

Answer: 73


Question: For the pair of similar figures, find the area of the green figure.

Answer: 78.4


Question: Find the variable of $q$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.

Answer: 9.0


Question: Find the perimeter of $\triangle A B C$

Answer: 30


Question: If $x=7 \sqrt{3},$ find $CE$

Answer: 21


Question: Find x. Assume that any segment that appears to be tangent is tangent.

Answer: 5


Question: Find the measure of $\angle 2$.

Answer: 53


Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

Answer: 57.9


Question: Find y

Answer: 16


Question: Find $y$ in the figure.

Answer: 15


Question: Find the exact circumference of the circle below.

Answer: 32 \pi


Question: Find $x$.

Answer: 48


Question: Find the area of the composite figure. Round to the nearest tenth.

Answer: 357.0


Question: Find x.

Answer: 9 \sqrt { 2 }


Question: Find z.

Answer: 6


Question: Find the area of the figure. Round to the nearest tenth.

Answer: 231


Question: Find $m \angle X$

Answer: 108


Question: Find y.

Answer: 15


Question: Find x. Round to the nearest tenth.

Answer: 10.8


Question: Find the value of x.

Answer: 4.08


Question: Use the figure to find the indicated variable. Find $y$ if $m \angle 3 = 4y + 30$ and $m \angle 7 = 7y + 6$.

Answer: 8


Question: In $\triangle CDF$, $K$ is the centroid and $DK=16$. Find $FG$.

Answer: 18


Question: Find the area of the shaded figure in square inches. Round to the nearest tenth.

Answer: 420


Question: Find the area of the figure.

Answer: 54.9


Question: Find the value of $f$ in the parallelogram

Answer: 14


Question: $J$ is the incenter of $\angle ABC$. Find $m \angle JAC$.

Answer: 24


Question: Find $m \angle R C L$

Answer: 137


Question: Find x

Answer: 3 \sqrt { 2 }


Question: Find x.

Answer: 32


Question: Find the area of the shaded region. Round to the nearest tenth.

Answer: 471.2


Question: If quadrilateral ABCD is a kite, what is $m \angle C$?

Answer: 76


Question: Find the value of the variable $y$ in the figure.

Answer: 125


Question: In the figure, $m ∠1 = 53$. Find the measure of $∠4$.

Answer: 127


Question: Find $m \angle S$.

Answer: 54


Question: Find x.

Answer: \frac { 15 } { 14 } \sqrt { 19 }


Question: Find $x$ so that $p \parallel q$.

Answer: 45


Question: If $MNPQ \sim XYZW,$ find the scale factor of $MNPQ$ to $XYZW$.

Answer: 2


Question: Find $SP$.

Answer: 17


Question: $m∠9 = 2x - 4$, $m∠10 = 2x + 4$. Find the measure of $∠9$.

Answer: 86


Question: Find the measure of $m∠K$.

Answer: 53


Question: If $J,P,$ and $L$ are the midpoints of $\overline{KH}, \overline{HM}$ and $\overline{MK}$, respectively. Find $y$.

Answer: 6


Question: If $J,P,$ and $L$ are the midpoints of $\overline{KH}, \overline{HM}$ and $\overline{MK}$, respectively. Find $z$.

Answer: 1


Question: If QRST is a parallelogram, what is the value of x?

Answer: 13


Question: In $\odot F$, $\overline{AB} \cong \overline{BC}$, $DF=3x-7$, and $FE=x+9$. What is $x$?

Answer: 8


Question: Find $x$. A = 153 in$^2$.

Answer: 17


Question: What is the area of the sector?

Answer: \frac { \pi } { 4 }


Question: Find $m\angle J$

Answer: 150


Question: Find x

Answer: 3


Question: Each pair of polygons is similar. Find y

Answer: 70


Question: $a=8, b=15,$ and $c=17$ find $tanB$

Answer: 1.88


Question: Find $z$ in the figure.

Answer: 142


Question: Find the measure of $\angle 1 $ if $\overline{A B} \perp \overline{B C}$.

Answer: 76


Question: Find AC

Answer: 7 \sqrt { 3 }


Question: Find $m \angle K$.

Answer: 97


Question: In $\triangle JKL$, $PT=2$. Find $KP$.

Answer: 4


Question: Find $m\angle Z$

Answer: 144


Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

Answer: 115


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 1200


Question: Find $m\angle K$

Answer: 62


Question: Find $m \widehat {AC}$.

Answer: 48


Question: Find $x$.

Answer: 10


Question: Find the value of $x$ in each diagram

Answer: 44


Question: Find x

Answer: 4


Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

Answer: 60


Question: $ \triangle RST$ is a right triangle. Find $m∠R$.

Answer: 60


Question: Lines $l$, $m$, and $n$ are perpendicular bisectors of $\triangle PQR$ and meet at $T$. If $TQ = 2x$, $PT = 3y - 1$, and $TR = 8$, find $x$.

Answer: 4


Question: Find x

Answer: 7 \sqrt { 3 }


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 99


Question: Find $x$ if $\overline{MS}$ is an altitude of $\triangle MNQ$, $m\angle 1 = 3x + 11$, and $m \angle 2 = 7x + 9$.

Answer: 7


Question: Find $z$ in the figure.

Answer: 42


Question: $\triangle PQS \cong \triangle RQS$. Find $y$.

Answer: 8


Question: $P$ is the incenter of $\angle XYZ$. Find $m \angle LZP$.

Answer: 32


Question: The pair of polygons is similar. Find AB

Answer: 4


Question: isosceles trapezoid TWYZ with $\angle Z \cong \angle Y, m \angle Z=30 x$, $\angle T \cong \angle W,$ and $m \angle T=20 x$, find $\angle T$

Answer: 72


Question: Find y.

Answer: 6 \sqrt { 2 }


Question: Find y.

Answer: \frac { 2 } { 3 } \sqrt { 5 }


Question: $\overline{E C}$ and $\overline{A B}$ are diameters of $\odot O$.  Find its measure of $\widehat{ACE}$.

Answer: 270


Question:
In $\odot O, \overline{E C}$ and $\overline{A B}$ are diameters, and $\angle B O D \cong \angle D O E \cong \angle E O F \cong \angle F O A$
Find $m\widehat{A C B}$

Answer: 180


Question: Find BD

Answer: 1.8


Question:
If $m \widehat{F E}=118, m \widehat{A B}=108$, $m \angle E G B=52,$ and $m \angle E F B=30$
Find $m \widehat{A C}$

Answer: 30


Question: The diagonals of rectangle $A B C D$ each have a length of 56 feet. If $m \angle B A C=42^{\circ}$, what is the length of $\overline{A B}$ to the nearest tenth of a foot?

Answer: 41.6


Question: In $\triangle PQR$, $\overline{ST} \| \overline{R Q}$ . If  $PT=7.5$, $TQ=3$, and $SR=2.5$, find $PS$.

Answer: 6.25


Question: Find x

Answer: 7


Question: Find the area of the regular polygon. Round to the nearest tenth.

Answer: 212.1


Question: The area of $▱ A B C D$ is 150 square meters. The area of $▱ F G H J$ is 54 square meters. If $▱ A B C D \sim ▱ F G H J$, find the scale factor of $▱ F G H J$ to $▱ A B C D$.

Answer: \frac { 3 } { 5 }


Question: Quadrilateral ABCD is a rectangle. Find y

Answer: 5


Question: In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\angle 8$.

Answer: 57


Question: Use parallelogram to find $y$

Answer: 5


Question:
If $\frac{I J}{X J}=\frac{HJ}{YJ}, m \angle W X J=130$
and $m \angle WZG=20,$ find $m \angle JHI$

Answer: 70


Question: Find x

Answer: 30


Question: Find x. Round to the nearest tenth, if necessary.

Answer: 15


Question: $UJ=9, VJ=3$, and $ZT=18$. Find $ZJ$.

Answer: 12


Question: Find the area of the triangle. Round to the nearest tenth if necessary.

Answer: 6


Question: For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure.

Answer: \frac { 6 } { 5 }


Question: Find x.

Answer: 3


Question: $JKMN$ is a rectangle. If $NQ=2x+3$ and $QK=5x-9$, find $JQ$.

Answer: 11


Question: Find the perimeter of the $\triangle A B C,$ if $\triangle A B C \sim \triangle C B D, A D=5$, $C D=12,$ and $B C=31.2$

Answer: 78


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 4185


Question: Find $m \angle 2$.

Answer: 59


Question: ABCD is a rhombus. If EB = 9, AB = 12 and $m\angle ABD = 55$ . Find $m\angle BDA$

Answer: 55


Question: Find y in the figure.

Answer: 40


Question: If WXYZ is a kite, find $m\angle Z$

Answer: 75


Question: Find $x$.

Answer: 7


Question: Find $m\angle T$

Answer: 46


Question: Each pair of polygons is similar. Find x

Answer: 27


Question: Find $SR$.

Answer: 24


Question:
Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.

Answer: 10


Question: Find $AC$ if $AC=x-3$, $BE=20, AB=16,$ and $CD=x+5$

Answer: 32


Question: In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 6$.

Answer: 131


Question:
In $\odot P, m \widehat{E N}=66$ and $m \angle G P M=89$ .
Find $m \angle G N M$

Answer: 44.5


Question: Find $FH$.

Answer: 12


Question: If $m\angle ZXW = x - 11$ and $m \angle WZX = x - 9$, find $m\angle ZXY$.

Answer: 46


Question: Find $m\angle F$

Answer: 122


Question: Express the ratio of $\cos L$ as a decimal to the nearest hundredth.

Answer: 0.92


Question: What is the length of $\overline{EF}$?

Answer: 26


Question: Find $m \widehat {TS}$.

Answer: 144


Question: Find the area of the sector. Round to the nearest tenth.

Answer: 2.5


Question:
In quadrilateral $P Q R S, P Q=721, Q R=547$, $R S=593, P S=756,$ and $m \angle P=58 .$
Find $m\angle R$

Answer: 77.8


Question: Find $m \angle B$.

Answer: 36


Question: Find the perimeter of $\triangle D E F$ if $\triangle D E F \sim \triangle A B C$

Answer: 24


Question: Find $x$ so that $ m \parallel n $.

Answer: 15


Question: Find the area of the quadrilateral.

Answer: 104


Question: In $\triangle EDF$, $T$ is the centroid and $FT=12$. Find $TQ$.

Answer: 6


Question: Find x. Assume that segments that appear to be tangent are tangent.

Answer: 8


Question:
If $\triangle J K L \sim \triangle P Q R$ and the area of $\triangle J K L$ is
30 square inches, find the area of $\triangle P Q R$。

Answer: 46.9


Question: Find $RT$.

Answer: 15


Question: Find the measure of $\angle 3$.

Answer: 42


Question: $\overline{JH}$ is tangent to $\odot G$ at $J$. Find the value of $x$.

Answer: 5


Question: Find $x$. $A = 177$ cm$^2$.

Answer: 16.2


Question: In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 5$.

Answer: 49


Question:
Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.

Answer: 4


Question: In $\odot A$, $WX=XY=22$. Find $AB$.

Answer: 10


Question: Find y

Answer: 5 \sqrt { 2 }


Question: Find the area of the blue region.

Answer: 114.2


Question: Find x. Round the side measure to the nearest tenth.

Answer: 50.6


Question: Find the measure of $∠T$ to the nearest tenth.

Answer: 33.7


Question: In $\odot J$, $GH=9$ and $KL=4x+1$. Find $x$.

Answer: 2


Question: Find $x$ so that $m || n$.

Answer: 36


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 55.6


Question: Find x. Round to the nearest hundredth.

Answer: 7.21


Question: Find $x$ so that each quadrilateral is a parallelogram.

Answer: 12


Question: Find x

Answer: \frac { 50 } { 3 }


Question: The diameters of $\odot A, \odot B,$ and $\odot C$ are 10, 30 and 10 units, respectively. Find BY if $\overline{A Z} \cong \overline{C W}$ and $C W=2$.

Answer: 12


Question: Find $m \angle 4$.

Answer: 55


Question: Find $x$ if $\odot M \cong \odot N$.

Answer: 9


Question: Find $x$ in the figure.

Answer: 112


Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

Answer: 39.0


Question: Find AC

Answer: 9.6


Question: What is the total area of the figure?

Answer: 368


Question: Find the exact circumference of the circle.

Answer: 9 \pi


Question: $m$ is the perpendicular bisector of $XZ$, $WZ=4a-15$ and $WZ=a+12$. Find $WX$.

Answer: 21


Question: Find the area of the triangle. Round to the nearest tenth if necessary.

Answer: 96


Question: Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.

Answer: 114.2


Question: In $\odot A, m \angle E A D=42$. Find $m \widehat{B C}$

Answer: 42


Question: $\triangle RST \cong \triangle VUT$. Find $x$.

Answer: 2


Question:
In $\odot R, S U=20, Y W=20,$ and $m \widehat{Y X}=45$.
Find $m\widehat{Y W}$

Answer: 90


Question: Find the area of the trapezoid.

Answer: 96


Question: Find y in the parallelogram

Answer: 6


Question: Find $x$.

Answer: 4


Question: Find $AF$.

Answer: 10.8


Question: Find y.

Answer: 10


Question: Two triangles are similar. Find $x$.

Answer: 16.5


Question: Find $x$ so that $ m \parallel n $.

Answer: 16


Question: Given right triangle $XYZ$ with hypotenuse $\overline{XY}$, $YP$ is equal to $YZ$. If $m ∠PYZ = 26$, find $m ∠XZP$.

Answer: 13


Question: The segment is tangent to the circle. Find $x$.

Answer: 5 \sqrt { 10 }


Question: Find $m \angle P$.

Answer: 35


Question: For the pair of similar figures, use the given areas to find $x$.

Answer: 6.0


Question: Find y.

Answer: \frac { 12 } { 5 } \sqrt { 11 }


Question: Find x.

Answer: \frac { 15 \sqrt { 2 } } { 2 }


Question: Find $CD$.

Answer: 4


Question: Triangle $A D C$ is circumscribed about $\odot O .$ Find the perimeter of $\triangle A D C$ if $E C=D E+A F$

Answer: 100


Question: Find $m \angle 5$.

Answer: 57


Question: Rhombus $WXYZ$ has an area of 100 square meters. Find $WY$ if $XZ = 10$ meters.

Answer: 20


Question: Find $x$.

Answer: 10


Question: Find x.

Answer: 13 \sqrt { 2 }


Question: Find $x$.

Answer: 81.5


Question: Find $x$ so that the quadrilateral is a parallelogram.

Answer: 30


Question: Find y

Answer: 21


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 239


Question: Find the area of quadrilateral $XYZW$ if $XZ = 39$, $HW = 20$, and $YG = 21$.

Answer: 799.5


Question: Find x. Assume that segments that appear to be tangent are tangent.

Answer: 4


Question: In rhombus $A B C D, A B=2 x+3$ and $B C=5 x$. Find x.

Answer: 1


Question: Find y.

Answer: 6 \sqrt { 3 }


Question: Find the area of the kite.

Answer: 72


Question: Find the value  of $x$ in each diagram

Answer: 93


Question: Find the measure of $\angle T$.

Answer: 77


Question: In the triangle, what is the measure of $∠Z$?

Answer: 18


Question: Quadrilateral ABCD is a rhombus. If $m\angle ABC = 2x – 7$ and $m\angle BCD = 2x + 3$, find $m\angle DAB$.

Answer: 95


Question: The two polygons are similar. Find x.

Answer: 13.5


Question: In $\triangle CDF$, $K$ is the centroid and $DK=16$. Find $KH$.

Answer: 8


Question: Find $z$ in the figure.

Answer: 73


Question: $\overline{PQ}$ is tangent to the circle. Find $x$. Round to the nearest tenth.

Answer: 5.2


Question: Find the ratio of $MS$ to $SP$, given that $MNPQ$ is a parallelogram with $MR=\frac{1}{4} MN$

Answer: 0.5


Question: Find x so that $GJ \parallel FK$. $H J=x-5, J K=15, F G=18, H G=x-4

Answer: 10


Question: In $\triangle P Q R, R S=3$ and $Q S=14 .$ Find $P S$

Answer: \sqrt { 42 }


Question: JKLM is a rhombus. If $CK = 8$ and $JK = 10$, Find $JC$.

Answer: 6


Question: Find x

Answer: 60


Question: Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.

Answer: 13


Question: Find y

Answer: \sqrt { 33 }


Question: Find the area of the shaded sector. Round to the nearest tenth.

Answer: 39.3


Question: For the pair of similar figures, use the given areas to find $x$.

Answer: 5


Question: Find x. Round the side measure to the nearest tenth.

Answer: 107.9


Question:
Equilateral pentagon $P Q R S T$ is inscribed in $\odot U$.
Find $m \angle P Q R$

Answer: 108


Question: If $LK=4,MP=3,PQ=6,KJ=2,RS=6$, and $LP=2$, find $QR$.

Answer: 3


Question: Circle $J$ has a radius of $10$ units, $\odot K$ has a radius of $8$ units, and $BC=5.4$ units. Find $AB$.

Answer: 14.6


Question: Find the measure of $∠R$ to the nearest tenth.

Answer: 70.9


Question: Find y

Answer: 4 \sqrt { 3 }


Question: Find $x$.

Answer: 66


Question: Find x.

Answer: 17


Question: Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.

Answer: 30.4


Question: In the figure, $ \triangle ABC$ is isosceles, $ \triangle DCE$ is equilateral, and $ \triangle FCG$ is isosceles. Find the measures of the $\angle 4$ at vertex $C$.

Answer: 17


Question: Find y. Round to the nearest tenth, if necessary.

Answer: 22.5


Question: Find y

Answer: 4 \sqrt { 3 }


Question: Find $XZ$ of isosceles $\triangle XYZ$

Answer: 12


Question: Find $m \angle 2$.

Answer: 24


Question: Find x.

Answer: 0.5


Question: If $J,P,$ and $L$ are the midpoints of $\overline{KH}, \overline{HM}$ and $\overline{MK}$, respectively. Find $x$.

Answer: 4.75


Question: If $ABCDE \sim PQRST,$ find the scale factor of $ABCDE$ to $PQRST$.

Answer: \frac { 4 } { 3 }


Question: Quadrilateral DEFG is a rectangle. If $FD = 3x - 7$ and $EG = x + 5$, find $EG$.

Answer: 6


Question: Find the value of $x$ in the figure below.

Answer: 128


Question:
If KLMN is a parallelogram, find the value of the
indicated variable. Find y

Answer: 11


Question: What is the length of $R T ?$

Answer: 5 \sqrt { 2 }


Question: Find $\angle 8$

Answer: 90


Question: What is the perimeter of the figure?

Answer: 20


Question: Find $x$.

Answer: 70


Question: Find the measure of $\angle A$. Round to the nearest degree.

Answer: 74


Question: Find $m\angle B$

Answer: 112


Question: Find y. Round to the nearest tenth.

Answer: 11.7


Question: Use a calculator to find the measure of $∠J$ to the nearest degree.

Answer: 45


Question: Express the ratio of $\sin A$ as a decimal to the nearest hundredth.

Answer: 0.80


Question: WXYZ is a square. If $WT = 3$, find $m \angle WTZ$

Answer: 90


Question: Find x

Answer: 18


Question: In the figure, $m ∠9 = 75$. Find the measure of $\angle 12$.

Answer: 105


Question: Find $m \widehat{Y C}$.

Answer: 60


Question: Find the perimeter of the figure. Round to the nearest hundredth, if necessary.

Answer: 9.2


Question:
In $\odot R, S U=20, Y W=20,$ and $m \widehat{Y X}=45$.
Find WZ

Answer: 10


Question: $a=14, b=48,$ and $c=50$ find $tanA$

Answer: 0.29


Question: Find $R S$ if $P Q=12, Q R=2,$ and $T S=3$

Answer: 4


Question: Use parallelogram JKLM to find m \angle JKL if $J K=2 b+3$ and $J M=3 a$.

Answer: 80


Question: Find $m \angle 7$.

Answer: 70


Question: Find $RS$.

Answer: 8


Question: Find the area of the figure to the nearest tenth.

Answer: 87.5


Question: Find x. Round side measures to the nearest tenth.

Answer: 7.7


Question: Find x.

Answer: 85


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 63.2


Question: Find x

Answer: 60


Question: Which of the following statements about the figure is true?

Answer: a + b = 90


Question: $\overline{JH}, \overline{JP},$ and $\overline{PH}$ are midsegments of $\triangle KLM$. Find $x$.

Answer: 57


Question: $Q$ is the incenter of $\triangle JKL$. Find $m \angle QJK$.

Answer: 35


Question:
In $\odot S, m \angle T S R=42$
Find $m\widehat{KT}$

Answer: 138


Question: Find the measure of $\angle 2$.

Answer: 25


Question: Find $y$ in the figure.

Answer: 15


Question: Quadrilateral ABCD is a rhombus. If $m\angle BCD$ = 64, find $m\angle BAC$.

Answer: 32


Question: Find the area of the shaded sector. Round to the nearest tenth.

Answer: 1.5


Question: Find $GH$

Answer: 39


Question: Find $x$.

Answer: 3


Question: In the figure, $ \overline{JM} \cong \overline{PM}$ and $ \overline{ML} \cong \overline{PL}$. If $m \angle PLJ=58$, find $m \angle PJL$.

Answer: 30.5


Question: Find $m\angle 3$

Answer: 32


Question: What is the value of $x$ if $m \widehat{NR}=62$ and $m \widehat {NP}=108$?

Answer: 64


Question: Find y.

Answer: 4 \sqrt { 6 }


Question: Find $m\angle E$

Answer: 158


Question: For the pair of similar figures, use the given areas to find the scale factor from the blue to the green figure.

Answer: \frac { 1 } { \sqrt { 3 } }


Question: Find x. Round the side measure to the nearest tenth.

Answer: 22.8


Question: Find x

Answer: 29.1


Question: Find $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.

Answer: 6


Question: Find $m \angle 2$.

Answer: 52


Question: Quadrilateral WXYZ is a rectangle. If $XZ = 2c$ and $ZY = 6$, and $XY = 8$, find $WY$.

Answer: 10


Question: Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.

Answer: 50


Question: Find $y$ so that the quadrilateral is a parallelogram.

Answer: 20


Question: Find x

Answer: 45


Question: Find $h$ in the triangle.

Answer: 3 \sqrt 2


Question: Find $x$. Round to the nearest tenth.

Answer: 4.8


Question: Find $DB$.

Answer: 9.2


Question: Use parallelogram ABCD to find $m\angle DAC$

Answer: 72


Question: Quadrilateral ABCD is a rectangle. Find x

Answer: 5


Question: Find x.

Answer: 48


Question: Find y.

Answer: 1


Question:
In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find $m\widehat{D Z}$

Answer: 40


Question: Find $m \angle 1$.

Answer: 65


Question: Refer to the figure at the right. Find z.

Answer: 11.09


Question: $A E$ is a tangent. If $A D=12$ and $F E=18$, how long is $A E$ to the nearest tenth unit?

Answer: 27.5


Question: Find $\angle V$

Answer: 46


Question: Find $m\angle J$

Answer: 112


Question: Find $y$ so that the quadrilateral is a parallelogram

Answer: 5


Question: Find the measure of $\angle 3$ if $m∠DGF = 53$ and $m∠AGC = 40$.

Answer: 50


Question: Find $y$.

Answer: 13


Question: WXYZ is a square. If $WT = 3$, find $ZX$

Answer: 6


Question: For trapezoid QRST, M and P are midpoints of the legs. If PM = 2x, QR = 3x, and TS = 10, find PM.

Answer: 20


Question: Find $y$ so that the quadrilateral is a parallelogram.

Answer: 8


Question: $\overline{E D}$ is tangent to $\odot F$ at point $E .$ Find $x$

Answer: 5


Question: Use parallelogram NQRM to find NQ

Answer: 14


Question:
In $\odot Z, \angle W Z X \cong \angle X Z Y, m \angle V Z U=4 x$, $m \angle U Z Y=2 x+24,$ and $\overline{V Y}$ and $\overline{W U}$ are diameters.
Find $m\widehat{W V}$

Answer: 76


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 374.5


Question: Find the measure of $\angle 2$ in the figure.

Answer: 52


Question: Quadrilateral $ABDC$  is a rectangle. Find $m \angle 5 if $ m\angle 1 = 38$.  $

Answer: 104


Question: Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.

Answer: 170


Question: Find $m\angle V$

Answer: 193


Question: In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 8$.

Answer: 62


Question: Find $ST$.

Answer: 5


Question: Find the perimeter of $\triangle D E F$  if  $\triangle D E F \sim \triangle G F H$.

Answer: 12.75


Question: Find ST

Answer: \frac { 50 } { 3 }


Question: If $\triangle SRY \sim \triangle WXQ, \overline{RT} $ is an altitude of $\triangle SRY$, $\overline{XV}$ is an altitude of $\triangle WXQ, RT=5, RQ=4, QY=6$, and $Y X=2,$ find $XV$.

Answer: 4


Question:
Quadrilateral $A B C D$ is inscribed in $\odot Z$ such that $m \angle B Z A=104, m \widehat{C B}=94,$ and $\overline{A B} \| \overline{D C} .$
Find $m \widehat{A D C}$

Answer: 162


Question: If $m \angle 1=3 x+40$, $m \angle 2=2(y-10)$, and $m \angle 3=2 x+70$, find $y$.

Answer: 75


Question: Find $m \angle 5$.

Answer: 55


Question: Find $y$.

Answer: 10


Question: The area of $▱ A B C D$ is 150 square meters. The area of $▱ F G H J$ is 54 square meters. If $▱ A B C D \sim ▱ F G H J$, find the value of $x$.

Answer: 6


Question: $\overline{AB}$ is tangent to the circle. Find $x$. Round to the nearest tenth.

Answer: 6.1


Question: In the figure, $m∠1 = 123$. Find the measure of $\angle 4$.

Answer: 57


Question:
In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find MB

Answer: 15


Question: Find $DE$.

Answer: 7.5


Question: Quadrilateral EFGH is a rectangle. If $m\angle FEG = 57$, find $m\angle GEH$.

Answer: 33


Question: Find $x$.

Answer: 4


Question: If $ABCD$ is a kite, find $AB$

Answer: 5


Question: Find x

Answer: 8


Question: Use parallelogram ABCD to find $m\angle AFB$

Answer: 131


Question: If $WZ=25.3$, $YZ=22.4$, $WZ=25.3$, find $XY$.

Answer: 22.4


Question: Find the value of the variable $y$ in the figure.

Answer: 12


Question:
In $\odot R, S U=20, Y W=20,$ and $m \widehat{Y X}=45$.
Find SV

Answer: 10


Question: parallelogram MNPQ with $m \angle M=10 x$ and $m \angle N=20 x$, find $\angle Q$

Answer: 120


Question: Quadrilateral $RSTU$ is circumscribed about $\odot J$. If the preimeter is $18$ units, find $x$.

Answer: 1.5


Question: If TR = 8, LR = 3, and RW = 6, find WS.

Answer: 10


Question: Find z.

Answer: \frac { 22 } { 5 }


Question: The triangle is inscribed in $\odot D$. Find the exact circumference of $\odot D$.

Answer: 4 \sqrt { 13 } \pi


Question: Find x. Round to the nearest tenth, if necessary.

Answer: 5.3


Question: Find PQ

Answer: 15


Question: Find $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.

Answer: 4


Question: Find $x$.

Answer: 58


Question: $\overline{RS}$ bisects $\angle VRU$. Solve for $x$.

Answer: 10


Question: Find $m \angle 2$.

Answer: 110


Question: Find $x$

Answer: 5


Question: Find x. Assume that segments that appear to be tangent are tangent.

Answer: 3.8


Question: Find $m \widehat {CF}$.

Answer: 80


Question: If $b=18,$ find $c$

Answer: 12 \sqrt { 3 }


Question: $\triangle FGH$ is an equilateral triangle. Find $FG$.

Answer: 19


Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

Answer: 259.8


Question: Find $y$ in the figure.

Answer: 90


Question: If $\overline{W P}$ is a median and an angle bisector, $A P=3 y+11$, $P H=7 y-5$, $m \angle H W P=x+12$, $m \angle P A W=3 x-2$, and $m \angle H W A=4 x-16$, find $x$.

Answer: 20


Question: In $\triangle JLP$, $m \angle JMP=3 x-6$, $JK=3y-2$, and $LK=5y-8$. If $\overline{JM}$ is an altitude of $\triangle JLP$, find $x$.

Answer: 32


Question: Find $\angle 7$

Answer: 98


Question: Find the area of the figure. Round to the nearest hundredth, if necessary.

Answer: 68.6


Question: Find z

Answer: 10 \sqrt { 2 }


Question: Find x

Answer: 117


Question: If PR || KL, KN = 9, LN = 16, PM = 2 KP, find MR

Answer: 40 / 3


Question: Find $m \angle 2$.

Answer: 75


Question: Find $y$ in the figure.

Answer: 11


Question: Find $m \angle 7$.

Answer: 53


Question: Find the value of x.

Answer: 8


Question: For the pair of similar figures, find the area of the green figure.

Answer: 81


Question: The two circles are congruent. Find $x$.

Answer: 16


Question: In parallelogram $ABCD$, $\overline{BD}$ and $\overline{AC}$ intersect at $E$. If $AE = 9$, $BE = 3x - 7$, and $DE = x + 5$, find $x$.

Answer: 6


Question: $\overline{JH}, \overline{JP},$ and $\overline{PH}$ are midsegments of $\triangle KLM$. Find $x$.

Answer: 60


Question: Find the measure of $x$.

Answer: 0.5


Question: $m∠19 = 100 + 20x$, $m∠20 = 20x $. Find the measure of $\angle 19$.

Answer: 140


Question: find cos B

Answer: \frac { 5 } { 7 }


Question: $\overline{XY}$ and $\overline{XZ}$ are midsegments of $\triangle RST$. Find $XZ$.

Answer: 6.5


Question: Find $m\angle Z X Y$

Answer: 65


Question: Find $m \angle 1$.

Answer: 66


Question: Find the perimeter of the given triangle. $\triangle A B C,$ if $\triangle A B C \sim \triangle C B D, C D=4$, $D B=3,$ and $C B=5$.

Answer: 20


Question: Find the perimeter of quadrilateral ABCD.

Answer: 40 + 14 \sqrt { 2 }


Question: Find $y$ so that the quadrilateral is a parallelogram.

Answer: 12


Question: Find $x$.

Answer: 12


Question: Find DE

Answer: 6


Question: $\triangle PQS \cong \triangle RQS$. Find $x$.

Answer: 16


Question: Chords $\overline{A C}$ and $\overline{D F}$ are equidistant from the center. If the radius of $\odot G$ is 26 find $D E$

Answer: 24


Question: Find $x$.

Answer: 19


Question: Find the area of the figure. Round to the nearest tenth.

Answer: 129.9


Question: Find $h$.

Answer: 15 \sqrt 3


Question: Find $m\angle 2$

Answer: 130


Question: Find $JL$.

Answer: 12


Question: Find x. Round to the nearest tenth.

Answer: 57.2


Question: isosceles trapezoid TWYZ with $\angle Z \cong \angle Y, m \angle Z=30 x$, $\angle T \cong \angle W,$ and $m \angle T=20 x$, find $\angle W$

Answer: 72


Question: Express the ratio of $\tan B$ as a decimal to the nearest hundredth.

Answer: 2.40


Question: Find $CB$.

Answer: 15


Question: Find x.

Answer: 2 \sqrt { 10 }


Question: If $\frac{I J}{X J}=\frac{HJ}{YJ}, m \angle W X J=130$, and $m \angle WZG=20,$ find $m \angle JHG$

Answer: 110


Question: Quadrilateral $ABCD$ is a rhombus. If $m\angle BCD = 54$, find $m\angle BAC$.

Answer: 27


Question: Polygon $BCDE$ $\cong$ polygon $RSTU$. Find $y$.

Answer: 42


Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

Answer: 70


Question: Find $x$.

Answer: 13


Question: In the figure, $m ∠1 = 53$. Find the measure of $∠3$.

Answer: 53


Question: Solve for $x$.

Answer: 15


Question: Find $m\angle C$

Answer: 128


Question: Find x

Answer: 6


Question: Find the perimeter of the triangle. Round to the nearest hundredth.

Answer: 28.52


Question: $m \widehat{G H}=78$ Find $m\angle 1$

Answer: 39


Question: Quadrilateral WXYZ is a rectangle. If $XW = 3$, $WZ = 4$, and $XZ = b$, find $YW$.

Answer: 5


Question: Find $y$.

Answer: 2


Question: Find $z$.

Answer: 10 \sqrt { 5 }


Question: Find $m\angle 2$.

Answer: 151


Question: Use parallelogram to  find $y$

Answer: 17


Question: Find $JM$.

Answer: 5.5


Question: Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.

Answer: 19.2


Question: Use parallelogram WXYZ to find $m\angle WZY$

Answer: 75


Question: Find the perimeter of $\triangle D E F,$ if $\triangle D E F \sim \triangle A C B$

Answer: 42


Question: Find $x$.

Answer: 15


Question: Find the area of the figure. Round to the nearest tenth.

Answer: 474


Question: If $m \angle S=3x$ and $m \angle V=x+16$, find $m \angle S$.

Answer: 24


Question: Find the value of $x$ in each diagram

Answer: 52


Question: Find $BE$.

Answer: 2.1


Question: Find $m \angle S$.

Answer: 66


Question:
Use rectangle LMNP, parallelogram LKMJ to solve the problem.
If $M K=6 x, K L=3 x+2 y,$ and $J N=14-x$
find $y$

Answer: 3


Question: Find $E H$ if $\triangle A B C \sim \triangle D E F, \overline{B G}$ is an altitude of $\triangle A B C, \overline{E H}$ is an altitude of $\triangle D E F, B G=3$, $B F=4, F C=2,$ and $C E=1$

Answer: \frac { 3 } { 2 }


Question: In the figure, $ m ∠1 = 3a + 40 $, $ m ∠2 = 2a + 25 $, and $ m ∠3 = 5b - 26 $. Find $b$.

Answer: 27


Question: Find y

Answer: 10


Question: Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 7$

Answer: 40


Question: Find x. Assume that segments that appear to be tangent are tangent.

Answer: 2.37


Question: Find x.

Answer: 7 \sqrt { 3 }


Question: find $sinR$

Answer: 0.8


Question: Find x. Round to the nearest degree.

Answer: 122


Question: Find x

Answer: 2 \sqrt { 21 }


Question: Find y.

Answer: 5 \sqrt { 3 }


Question: Find x

Answer: \frac { 19 \sqrt { 2 } } { 2 }


Question:
Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.
Find the perimeter of trapezoid AEFG

Answer: 45.75


Question: Find $y$.

Answer: 2


Question: Find $\angle 6$.

Answer: 123


Question: Use parallelogram NQRM to find x

Answer: 4


Question: Quadrilateral JKLM is a rectangle. If $m\angle KJL = 2x + 4$ and $m\angle JLK = 7x + 5$, find $x$.

Answer: 9


Question: $m \angle BAC=40, m \angle DAC=40,$ and $DC=10,$ find $BC$.

Answer: 10


Question: Find the area of $ \triangle JKM$.

Answer: 21


Question: Find x.

Answer: 34


Question: in $\triangle XYZ$, $P$ is the centroid, $KP=3$, and $XJ=8$. Find $XK$.

Answer: 9


Question: Find the variable of $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.

Answer: 7.1


Question: Find the perimeter of the figure. Round to the nearest tenth if necessary.

Answer: 54.8


Question: If $m \widehat{B C}=30$ and $\overline{A B} \cong \widehat{C D},$ find $m \widehat{A B}$

Answer: 75


Question: Find x. Assume that segments that appear to be tangent are tangent.

Answer: 10


Question:
In $\odot D, \overline{D E} \cong \overline{E C}, m \widehat{C F}=60,$ and
$\overline{D E} \perp \overline{E C} .$ Find $m \widehat{A F}$

Answer: 120


Question: Find the perimeter of each polygon for the given information.

Answer: 60


Question: Find $x$. Round to the nearest tenth.

Answer: 44.0


Question: Find x. Round to the nearest degree.

Answer: 28


Question: Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth.

Answer: 42.1


Question: Find x. Assume that segments that appear to be tangent are tangent.

Answer: 3


Question: Find $m\angle Z$ in the trapezoid

Answer: 68


Question: Quadrilateral $WXYZ$ is inscribed in $\odot V$. Find $m \angle Y$.

Answer: 85


Question: Circle $O$ has a radius of $10, A B=10$ and $m \overrightarrow{A B}=60 .$ Find $m\widehat{A X}$

Answer: 5


Question: Find $x$. Round to the nearest tenth.

Answer: 12.7


Question: For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure.

Answer: \frac { 5 } { 2 }


Question: Find x.

Answer: 5


Question: $ \triangle WXY $  and $ \triangle XYZ $ are isosceles and $m∠XYZ = 128$. Find the measure of $∠WXY$.

Answer: 76


Question: Find $m \angle 3$.

Answer: 51


Question: Find $m \angle W$.

Answer: 74


Question: Find the area of the figure. Round to the nearest tenth.

Answer: 91.2


Question: What is $m∠EFG$?

Answer: 70


Question: Find the area of the circle. Round to the nearest tenth.

Answer: 113.1


Question: Find $\widehat{D G}$ if $m \angle D G I=24$ and $r=6$

Answer: \frac { 22 } { 5 } \pi


Question: A plane travels from Des Moines to Phoenix, on to Atlanta, and back to Des Moines, as shown below. Find the distance in miles from  Atlanta to Des Moines if the total trip was 3482 miles.

Answer: 738


Question: For trapezoid $Q R S T, A$ and $B$ are midpoints of the legs. Find $m \angle Q$

Answer: 60


Question: Find y.

Answer: \sqrt { 510 }


Question: Find the area of the shaded region. Assume the inscribed polygon is regular.

Answer: 3.3


Question: Find $AC$ if $\triangle ABC$ is an isosceles triangle with $\overline{AB} \cong \overline{BC}$.

Answer: 4


Question: $\overline{PM}$ is a diameter of $\odot R$. Find $m \widehat {MNQ}$.

Answer: 295


Question: Find the angle measure of $\angle3$.

Answer: 90


Question: Find AE

Answer: 8


Question: Find y

Answer: 12 \sqrt { 2 }


Question: Find SC

Answer: 21


Question: Use parallelogram ABCD to find AF

Answer: 6.86


Question: Find x. Round the angle measure to the nearest degree

Answer: 112


Question: Find the circumference of $\odot A$.

Answer: 20 \pi


Question:
Find the measure of $m\angle 3$. Assume that segments that appear
tangent are tangent.

Answer: 26


Question: Find the value of the variable $x$ in the figure.

Answer: 40


Question: Find the measure of $\angle P$

Answer: 61


Question: Find z.

Answer: 12 \sqrt { 3 }


Question: $a=8, b=15,$ and $c=17$ find $tanA$

Answer: 0.53


Question: In the figure, $m∠4 = 104$, $m∠14 = 118$. Find the measure of $\angle 10$.

Answer: 118


Question: Find the perimeter of the triangle. Round to the nearest tenth if necessary.

Answer: 48


Question: In $\odot P$, the diameter is $9$, find the length of $\widehat {QT}$. Round to the nearest hundredth.

Answer: 8.80


Question: Find $m\angle 1$

Answer: 48


Question: Find $x$ so that the quadrilateral is a parallelogram.

Answer: 2


Question: Find x

Answer: 235


Question: Find the area of the regular polygon. Round to the nearest tenth.

Answer: 237.8


Question: Find AE

Answer: 4


Question:
The diameters of $\odot A, \odot B,$ and $\odot C$ are 10 inches,
20 inches, and 14 inches, respectively.
Find BY

Answer: 3


Question: Quadrilateral MNOP is a rhombus. Find $m\angle MRN $

Answer: 90


Question: The segment is tangent to the circle. Find $x$.

Answer: 9


Question: Find $C D$ if $A E=8, E D=4,$ and $B E=6$

Answer: 9


Question: Find the area of the triangle.

Answer: 167.2


Question: Find $m\angle E$

Answer: 78


Question: If $\overline{E C}$ is an altitude of $\triangle A E D, m \angle 1=2 x+7,$ and $m \angle 2=3 x+13,$ find $m \angle 2$.

Answer: 55


Question: Find x.

Answer: 3 \sqrt { 2 }


Question: Find $m\angle A$

Answer: 122


Question: Find x

Answer: 6.75


Question: Find y

Answer: 6 \sqrt { 42 }


Question: In the figure, $\overline{FJ} \cong \overline{FH}$ and $\overline{GF} \cong \overline{GH}$. If $m∠GHJ=152$ and  $m∠G=32$, find $m∠JFH$.

Answer: 24


Question: Find x

Answer: 7


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 156


Question: Find x

Answer: 8


Question: Find $y$.

Answer: 17


Question: Find $x$.

Answer: 5.4


Question: For isosceles trapezoid $X Y Z W$ find the length of the median

Answer: 14


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 128.1


Question: Find the measure of $\angle 3$.

Answer: 49


Question: $\triangle LMN \cong \triangle QRS$. Find $y$.

Answer: 50


Question: Find the area of the shaded region. Assume that the triangle is equilateral.

Answer: 29.5


Question: Triangles $F G H$ and $F H J$ are inscribed in $\odot K$ with $\widehat{F G} \cong \widehat{F I} .$ Find $x$ if $m \angle 1=6 x-5,$ and $m \angle 2=7 x+4$

Answer: 7


Question: Use parallelogram $ABCD$ to find the measure of $m\angle ADC$

Answer: 65


Question: Find the measure of $∠T$ to the nearest tenth.

Answer: 28.5


Question: Find $m \widehat {RT}$.

Answer: 126


Question: Find the perimeter of the $\triangle DEF$, if $\triangle DEF \sim \triangle CBF$, perimeter of $\triangle CBF=27, DF=6, FC=8$.

Answer: 20.25


Question: What is the value of x in the figure below? Round to the nearest tenth.

Answer: 11.1


Question: $MC=7,RM=4$, and $AT=16$. Find $RB$.

Answer: 12


Question: Find the measure of the altitude drawn to the hypotenuse.

Answer: \sqrt { 297 }


Question: Find the perimeter of the parallelogram.

Answer: 96


Question: Find $DB$.

Answer: 5


Question: Find y.

Answer: 8 \sqrt { 2 }


Question: Find x. Round the angle measure to the nearest degree.

Answer: 48


Question: Find the variable of $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.

Answer: 14.6


Question: Find the area of the trapezoid.

Answer: 273


Question: Refer to trapezoid $CDFG$ with median $\overline{HE}$. Let $\overline{YZ}$ be the median of $HEFG$. Find $YZ$.

Answer: 34


Question: Use the figure to find the indicated variable. If $m \angle 4 = 2x - 17$ and $m \angle 1 = 85$, find $x$.

Answer: 56


Question: If $m∠2 = 4x + 7$ and $m∠7 = 5x - 13$, find $x$.

Answer: 20


Question: Find the value of x.

Answer: 45


Question: $m \widehat{J H}=114$ Find $m\angle 3$

Answer: 33


Question: Find x. Round to the nearest tenth if necessary.

Answer: 2


Question: In the figure, $LH$ is the midsegment of trapezoid $FGJK$. What is the value of $x$ ?

Answer: 11.8


Question: Find the area of the shaded region.

Answer: 50.3


Question: Find x.

Answer: \sqrt { 141 }


Question: Find the perimeter or circumference of the figure. Round to the nearest tenth.

Answer: 16


Question: Find $x$.

Answer: 10


Question: Refer to the figure at the right. Find the value of $m ∠BCE$ if $ p \parallel q $.

Answer: 75


Question: Find the area of the shaded region. Round to the nearest tenth.

Answer: 37.4


Question: Find the perimeter of $▱ JKLM$.

Answer: 22.4


Question: find sin A

Answer: \frac { 5 } { 7 }


Question: Find the measure of $∠T$ to the nearest tenth.

Answer: 56.4


Question: Find the perimeter of the parallelogram.

Answer: 76


Question: Find the measure of $∠R$ to the nearest tenth.

Answer: 39.6


Question: $\triangle MHJ \cong \triangle PQJ$. Find $y$.

Answer: 5


Question: In $\triangle ACE$, $P$ is the centroid. $PF=6$ and $AD=15$. Find $AP$.

Answer: 10


Question: Find the area of the figure. Round to the nearest tenth.

Answer: 374


Question: Find z

Answer: 4 \sqrt { 3 }


Question: In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 5$.

Answer: 60


Question: Find x

Answer: 41.8


Question: Use parallelogram ABCD to find $y $

Answer: 11


Question: Find the value of $d$ in the parallelogram

Answer: 42


Question: Find y.

Answer: 15


Question: Solve for $x$.

Answer: 12


Question: In the figure, $m∠3 = 43$. Find the measure of $\angle 13$.

Answer: 43


Question: Find x

Answer: 35


Question: In $\triangle PQR$, $ZQ=3a-11$, $ZP=a+5$, $PY=2 c-1$, $YR=4 c-11$, $m \angle PRZ=4 b-17$, $m \angle ZRQ=3 b-4$, $m \angle QYR=7 b+6$, and $m \angle PXR=2 a+10$.  Find $PR$ if $\overline{QY}$ is a median.

Answer: 18


Question: Find the area of the shaded region. Round to the nearest tenth.

Answer: 66.3


Question: What is the circumference of $\odot T$? Round to the nearest tenth.

Answer: 40.8


Question: Use parallelogram to find $a$

Answer: 7


Question:
In $\odot F, \overline{F H} \cong \overline{F L}$ and $\mathrm{FK}=17$.
Find LK

Answer: 15


Question: In the figure, $\triangle FGH$ is a right triangle with hypotenuse $\overline{FH}$ and $GJ = GH$. What is the measure of $∠JGH$?

Answer: 56


Question: The area of trapezoid $JKLM$ is 138 square feet. The area of trapezoid $QRST$ is 5.52 square feet. If trapezoid $J K L M$ $ \sim$ trapezoid $QRST$, find the scale factor from trapezoid $JKLM$ to trapezoid $QRST$.

Answer: 5


Question: If $A D=8, A E=12,$ and $E C=18,$ find $A B$

Answer: 20


Question: Find the area of the shaded region. Round to the nearest tenth.

Answer: 53.5


Question: Find $x$.

Answer: 6


Question: Find $x$ in $\triangle P Q R$

Answer: 2 \sqrt { 6 }


Question: Find the length of $AB$ in the isosceles triangle $ABC$.

Answer: 12.5


Question: Find the measure of $\angle 3$.

Answer: 147


Question: Find $m \widehat{JK}$.

Answer: 56


Question:
Use rectangle LMNP, parallelogram LKMJ to solve the problem.
If $m \angle P L K=110,$ find $m \angle L K M$

Answer: 140


Question: The segment is tangent to the circle. Find $x$.

Answer: 8


Question: Chords $\overline{JF}$ and $\overline{BC}$ intersect at $K .$ If $B K=8$, $K C=12,$ and $K F=16,$ find $J K$

Answer: 6


Question: find tan A

Answer: \frac { 15 } { 16 }


Question: Use parallelogram PQRS to find $QR$

Answer: 3


Question: RSTV is a trapezoid with bases $\overline{R V}$ and $\overline{S T}$ and median $\overline{M N}$. Find $x$ if $M N=60, S T=4 x-1,$ and $R V=6 x+11$

Answer: 11


Question: In $\odot F$, $GK=14$ and $m \widehat{GHK}=142$. Find $m \widehat {GH}$.

Answer: 71


Question: Find x.

Answer: 8 \sqrt { 3 }


Question: Each pair of polygons is similar. Find x.

Answer: 91


Question: Find $x$ in each figure.

Answer: 13


Question: Find the area of the rhombus.

Answer: 60


Question: Find y.

Answer: 20


Question: Find $m \angle 4$.

Answer: 40


Question: Quadrilateral ABCD is a rhombus. If $m\angle BCD = 120$, find $m\angle DAC$.

Answer: 60


Question: Find $y$ so that $\overline{BE}$ and $\overline{AD}$ are perpendicular.

Answer: 8.3


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 80


Question: If $A N$ is 5 meters long, find the exact circumference of $\odot N .$

Answer: 10 \pi


Question: In the figure, $m∠1 = 94$. Find the measure of $\angle 3$.

Answer: 94


Question: In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 4$.

Answer: 49


Question: Circle $O$ has a radius of $10, A B=10$ and $m \overrightarrow{A B}=60 .$ Find $m\widehat{O X}$

Answer: 5 \sqrt { 3 }


Question: Each pair of polygons is similar. Find y.

Answer: 30


Question: Find x

Answer: 8 \sqrt { 41 }


Question: Express the ratio of $\tan A$ as a decimal to the nearest hundredth.

Answer: 1.33


Question: In A, the radius is $14$ and $CD = 22$. Find $EB$. Round to the nearest hundredth.

Answer: 5.34


Question: Find $x$.

Answer: 70


Question: $\overline{HK}$ and $\overline{IG}$ are diameters of $\odot L$. Find $m \widehat {HGK}$.

Answer: 180


Question: If $\angle R S T$ is a right angle, $\overline{SU} \perp \overline{RT}$, $\overline{UV} \perp \overline{ST},$ and $m \angle RT S=47,$ find $m \angle R$

Answer: 43


Question: Find $x$ if $\overline{AD}$ is a median of $\triangle ABC$.

Answer: 5


Question: Use parallelogram MNPR to find $y$

Answer: 6.45


Question: Find x.

Answer: 6 \sqrt { 3 }


Question: Find the area of the figure. Round to the nearest tenth, if necessary.

Answer: 1050


Question: Find the perimeter of $\triangle P Q R,$ if $\triangle P Q M \sim \triangle P R Q$

Answer: 78


Question: Find the circumference of the figure. Round to the nearest tenth.

Answer: 18.8


Question: Find x.

Answer: 35


Question: Find $x$. $A = 92$ in$^2$.

Answer: 8.4


Question: The diameter of $\odot S$ is $30$ units, the diameter of $\odot R$ is $20$ units, and $DS=9$ units. Find $CD$.

Answer: 6


Question: In the figure, $m ∠1 = 53$. Find the measure of $∠5$.

Answer: 127


Question: In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 8$.

Answer: 131


Question: Find the perimeter of the figure. Round to the nearest hundredth, if necessary.

Answer: 37.9


Question: Find the area of the kite.

Answer: 60


Question: Find $m\angle 1$.

Answer: 59


Question: Express the ratio of $\tan V$ as a decimal to the nearest hundredth.

Answer: 0.29


Question: For trapezoid QRTU, V and S are midpoints of the legs. If VS = 9 and UT = 12, find QR.

Answer: 7


Question: Find $m\angle Q$

Answer: 121


Question: Refer to the triangle shown below. Find $x$ to the nearest tenth.

Answer: 10


Question: $a=14, b=48,$ and $c=50$, find $sinB$

Answer: 0.96


Question: Find the area of the figure. Round to the nearest tenth if necessary.

Answer: 155.5


Question: Find QX if $E X=24$ and $D E=7$

Answer: 18


Question: Find $x$. $A = 104$ ft$^2$.

Answer: 6.3


Question: Find y.

Answer: 10


Question: Find $x$. (Hint: Draw an auxiliary line.)

Answer: 22


Question: Find x to the nearest tenth.

Answer: 9.67


Question: In $\odot A, m \angle E A D=42$. Find $m \widehat{C B E}$

Answer: 180


Question: Use parallelogram JKLM to find $a$ if $J K=2 b+3$ and $J M=3 a$.

Answer: 7


Question: Find $x$.

Answer: 45


Question: Find $m \angle 6$.

Answer: 49


Question: Quadrilateral MNOP is a rhombus. If PR = 12, find RN.

Answer: 12


Question: Solve for $x$.

Answer: 5


Question: Find $m \angle X$

Answer: 117


Question: Find y.

Answer: 1.5


Question: Circle $W$ has a radius of 4 units, $\odot Z$ has a radius of 7 units, and $X Y=2 .$ Find $I C$

Answer: 20


Question: $\triangle RSV \cong \triangle TVS$. Find $y$.

Answer: 12.5


Question: Find $x$.

Answer: 9


Question: Find $m∠1$.

Answer: 67


Question: Find $x$.

Answer: 20


Question: Find the length of $XY$

Answer: 9


Question: If $\overline{PQ} \cong \overline{UQ}$, $\overline{PR} \cong \overline{RT}$ and $ m ∠ PQU = 40 $, find $ m ∠R $.

Answer: 40


Question: Find the variable of $c$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.

Answer: 22.8


Question: Find $m\angle F$

Answer: 116


Question: If $A B=60$ and $D E=48,$ find $C F$

Answer: 18


Question: Find z.

Answer: 6 \sqrt { 3 }


Question: Find $QR$ if $\triangle QRS$ is an equilateral triangle.

Answer: 2


Question: Find the value of the variable $x$ in the figure.

Answer: 63


Question: Find the area of $▱ ABCD$.

Answer: 50


Question:
Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.
Find scale factor of trapezoid ABCD to trapezoid AEFG

Answer: 1.6


Question: $ABCD$ is a rhombus. If $PB = 12$, $AB = 15$, and $m\angle ABD = 24$. Find $m\angle ACB$

Answer: 66


Question: Find $B C$ if $B E=24, C D=32,$ and $A B=33$

Answer: 11


Question: Find $y$ in $\triangle P Q R$

Answer: 2 \sqrt { 3 }


Question:
A square with 5-centimeter sides is inscribed in a circle. What is the circumference of the circle? Round your answer to the nearest
tenth of a centimeter.

Answer: 22.2


Question: In $\Delta G H J$, $H P=5 x-16$, $P J=3 x+8$, $m \angle G J N=6 y-3$, $m \angle N J H=4 y+23$ and $m \angle H M G=4 z+14$. If $\overline{HM}$ is an altitude of $∠GHJ$, find the value of $z$.

Answer: 19


Question: Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.

Answer: 7.4


Question: Find the area of the shaded sector. Round to the nearest tenth, if necessary.

Answer: 333.9


Question:
In $\odot F, \overline{F H} \cong \overline{F L}$ and $\mathrm{FK}=17$.
Find JH

Answer: 15


Question: Find the area of the shaded region. Round to the nearest tenth.

Answer: 77.0


Question: Find the area of the circle. Round to the nearest tenth.

Answer: 38707.6


Question: Use parallelogram ABCD to find $m\angle BDC$

Answer: 87.9


Question: Find $x$.

Answer: 40


Question: The lengths of the bases of an isosceles trapezoid are shown below. If the perimeter is 74 meters, what is its area?

Answer: 162


Question: Find $m \widehat {RQ}$.

Answer: 28


Question: Find $FE$ if $AB=6, AF=8, BC=x, CD=y$, $DE=2y-3,$ and $FE=x+\frac{10}{3}$.

Answer: \frac { 40 } { 3 }


Question: Find the perimeter of the figure. Round to the nearest tenth if necessary.

Answer: 56


Question: What is the measure of an interior angle of a regular pentagon?

Answer: 108


Question: Find the measure of $\angle 4$ if $\overline{AB} \perp \overline{BC}$.

Answer: 40


Question: Find x.

Answer: \frac { \sqrt { 10 } } { 5 }


Question: Find x. Round to the nearest tenth.

Answer: 28.7


Question: Find the area of the shaded region. Round to the nearest tenth.

Answer: 34.6


Question: In the figure, $m∠3 = 43$. Find the measure of $\angle 2$.

Answer: 137


Question: Find x in the figure below. Round your answer to the nearest tenth if necessary.

Answer: 93.9


Question: Find $m \angle R$.

Answer: 30


Question: Find $x$ so that each quadrilateral is a parallelogram.

Answer: 7


Question: If $a ∥ b$ in the diagram below, which of the following may not be true?

Answer: \angle 8 \cong \angle 2


Question: Find x in the parallelogram

Answer: 7


Question: Find the area of the triangle. Round to the nearest tenth if necessary.

Answer: 129.9


Question: Find x. Assume that segments that appear to be tangent are tangent.

Answer: 9.6


Question: Express the ratio of $\sin Q$ as a decimal to the nearest hundredth.

Answer: 0.47


Question: parallelogram MNPQ with $m \angle M=10 x$ and $m \angle N=20 x$, find $\angle N$

Answer: 120


Question: Find the measure of the altitude drawn to the hypotenuse.

Answer: 8 \sqrt { 2 }


Question: In the figure at the right, $YZ$ is the midsegment of trapezoid $TWRV$. Determine the value of $x$.

Answer: 1.2


Question: Find $x$.

Answer: 162


Question: Find $\angle 10$

Answer: 50


Question: Find $x$.

Answer: 6


Question: $m∠11 = 4x$, $m∠12 = 2x -6 $. Find the measure of $\angle 11$.

Answer: 124


Question: Find $m \angle 3$.

Answer: 16


Question: Find $x$ so that $ m \parallel n $.

Answer: 21.6


Question: Find $m\angle E$

Answer: 126


Question: Find the base of the parallelogram given its area with 100 square units.

Answer: 20


Question: If $\overline{P Q} \cong \overline{Q S}$, $\overline{Q R} \cong \overline{R S}$, and $m \angle P R S=72$, what is the measure of $\angle Q P S$ ?

Answer: 27


Question:
In $\odot O, \overline{E C}$ and $\overline{A B}$ are diameters, and $\angle B O D \cong \angle D O E \cong \angle E O F \cong \angle F O A$
Find $m\widehat{A D C}$

Answer: 270


Question: Quadrilateral ABCD is a rectangle. If $m\angle ADB = 4x + 8$ and $m\angle DBA = 6x + 12$, find x.

Answer: 7


Question: Express the ratio of $\sin B$ as a decimal to the nearest hundredth.

Answer: 0.92


Question: Find $m∠MRQ$ so that $a || b$.

Answer: 77


Question: $m∠19 = 100 + 20x$, $m∠20 = 20x $. Find the measure of $\angle 20$.

Answer: 40


Question: Find $x$.

Answer: 4


Question: Find the perimeter of $\triangle Q R S$ if $\triangle Q R S \sim \triangle Q T P$

Answer: 14


Question: Find $y$.

Answer: 40


Question:
Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.
Find DC

Answer: 22.4


Question: Find z.

Answer: \frac { 85 } { 6 } \sqrt { 13 }


Question: Rhombus $QRST$ has an area of 137.9 square meters. If $RT$ is 12.2 meters, find $QS$.

Answer: 22.6


Question: Find $y$.

Answer: 8


Question: Find the area of a regular pentagon with a perimeter of 40 centimeters.

Answer: 110


Question: Find x.

Answer: 2 \sqrt { 66 }


Question: Square $F G H J$ is inscribed in $\odot K$. Find the measure of a central angle.

Answer: 90


Question: Find the exact circumference of each circle.

Answer: 8 \pi


Question: Find $x$.

Answer: 140


Question: Find the measure of $\angle 3$ if $m \angle D G F=53$ and $m \angle A G C=40$.

Answer: 50


Question: Polygon $BCDE$ $\cong$ polygon $RSTU$. Find $x$.

Answer: 20


Question: $\triangle NDG \cong \triangle LGD$. Find $x$.

Answer: 54


Question: WXYZ is a kite. If $m\angle WXY = 120$, $m\angle WZY = 4x$, and $m\angle ZWX = 10x$, find $m\angle ZYX$.

Answer: 100


Question: $P$ is the centroid of triangle $QUS$. If $QP=14$ centimeters, what is the length of $\overline{QT}$?

Answer: 21


Question: Express the ratio of $\cos Q$ as a decimal to the nearest hundredth.

Answer: 0.88


Question: $\overline{JH}$ is a midsegment of $\triangle KLM$. Find $x$.

Answer: 10


Question: For isosceles trapezoid $A B C D$, $X$ and $Y$ are midpoints of the legs. Find $m \angle X B C$ if $m \angle A D Y=78$

Answer: 102


Question:
If $FK = 3x - 1$, $KG = 4y + 3$, $JK = 6y - 2$, and
$KH = 2x + 3$, find $y$ so that the quadrilateral is a parallelogram.

Answer: 2.5


Question: Find $x$.

Answer: 12


Question: Find x.

Answer: 9 \sqrt { 2 }


Question: Find $m \angle 1$ in the figure.

Answer: 107