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

Answer: 48


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

Answer: 7.85


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

Answer: 31.1


Question: If pentagons $A B C D E$ and $P Q R S T$ are similar, find $S R$

Answer: 4 \frac { 4 } { 11 }


Question: In $\triangle PQR$, $\overline{ST} \| \overline{R Q}$ . If  $PS=12.5$, $SR=5$, and $PT=15$, find $TQ$.

Answer: 6


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

Answer: 0.96


Question: $\overline{A C}$ is a diagonal of rhombus $A B C D$ If $m \angle C D E$ is $116,$ what is $m \angle A C D ?$

Answer: 58


Question: Use parallelogram $JKLM$ to find $m \angle KLM$

Answer: 71


Question: Find the perimeter of the parallelogram.

Answer: 78


Question: Find x.

Answer: 5 \sqrt { 3 }


Question: Find $PS$.

Answer: 9


Question: In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 8$.

Answer: 120


Question: Find x

Answer: 4


Question: Quadrilateral $ABDC$ is a rectangle. If $m\angle1 = 38$, find $m \angle 2$

Answer: 52


Question: What is the value of $x$ below to the nearest tenth?

Answer: 22.5


Question: Find $m\angle W$

Answer: 108


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

Answer: 0.38


Question: Find the measure of $JK$.

Answer: 31


Question: For trapezoid $T R S V, M$ and $N$ are midpoints of the legs. If $T R=32$ and $M N=25,$ find $V S$

Answer: 18


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

Answer: 4


Question: Find $WR$.

Answer: 8


Question: Find the value of $x$

Answer: 74


Question: Find the area of the trapezoid.

Answer: 678.5


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

Answer: 3


Question: Find x

Answer: 6 \sqrt { 6 }


Question: Find x. Round to the nearest tenth.

Answer: 52.5


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

Answer: 31


Question: Find $K J$ if $G J=8, G H=12,$ and $H I=4$

Answer: 2


Question: Find $QP$.

Answer: 3.6


Question: In $\odot T, Z V=1,$ and $T W=13$. Find XY

Answer: 10


Question: In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 1$.

Answer: 38


Question: The two polygons are similar. Find UT.

Answer: 22.5


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

Answer: 41.8


Question: Find $m \angle H$.

Answer: 31


Question: Find $x$.

Answer: 90


Question: $m \widehat{AC}=160$ and $m \angle BEC=38$. What is $m \angle AEB$?

Answer: 42


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  Phoenix to Atlanta if the total trip was 3482 miles.

Answer: 1591


Question: Find $x$.

Answer: 123


Question: Solve for x in the figure. Round to the nearest tenth if necessary.

Answer: 3


Question: In the figure, $\overline{A D}$ is perpendicular to $\overline{B C}$ and $\overline{A B}$ is perpendicular to $\overline{A C}$. What is $B C ?$

Answer: 20


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

Answer: 30.2


Question: If $c=5,$ find $b$

Answer: 2.5 \sqrt { 3 }


Question: Find $z$.

Answer: 12


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

Answer: 216.6


Question: Find $m \angle 2$.

Answer: 39


Question: Find x. Round to the nearest tenth.

Answer: 5.8


Question: $m$ is the perpendicular bisector of $XZ$, $WZ=14.9$. Find $WX$.

Answer: 14.9


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

Answer: 94


Question: Find $JL$.

Answer: 14


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

Answer: 91.9


Question: Find x.

Answer: 15


Question: Find $ST$.

Answer: 19


Question: Find x.

Answer: 18 \sqrt { 6 }


Question: Find $EG$ if $G$ is the incenter of $\triangle ABC$.

Answer: 5


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

Answer: 13


Question: Find $x$.

Answer: 3


Question: Find x.

Answer: 1


Question: Tangent $\overline{M P}$ is drawn to $\odot O .$ Find $x$ if $M O=20$

Answer: 12


Question: In H, the diameter is $18$, $LM = 12$, and $m \widehat {LM} = 84$. Find $HP$. Round to the nearest hundredth.

Answer: 6.71


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

Answer: 21.6


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 $m \widehat{C F}$

Answer: 44


Question: If $c=5,$ find $a$

Answer: 2.5


Question: Find x.

Answer: 5


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

Answer: 9.77


Question: In the figure, line $l$ is parallel to line $m$. Line $n$ intersects both $l$ and $m$. Which of the following lists includes all of the angles that are supplementary to $ ∠1 $?

Answer: angles 2,3, 6, and 7


Question: In the figure, $m∠3 = 43$. Find the measure of $\angle 11$.

Answer: 43


Question: If AB || DC, find x.

Answer: 115


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

Answer: 33


Question: The diagram shows the layout of Elm, Plum, and Oak streets. Find the value of $x.$

Answer: 125


Question: Find $y$.

Answer: 5 \sqrt { 5 }


Question:
In $\odot P, m \angle M P L=65$ and $\overline{N P} \perp \overline{P L}$.
Find $m \widehat{N M}$

Answer: 25


Question: Each pair of polygons is similar. Find y

Answer: 5


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

Answer: 30


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

Answer: 63


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

Answer: 76


Question: Trapezoid $GHJK$ has an area of 75 square meters. Find the height.

Answer: 5


Question: Find x

Answer: 58


Question: Find x. Round to the nearest tenth.

Answer: 30.2


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

Answer: 9


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

Answer: 80


Question: Quadrilateral EFGH is a rectangle. If FK = 32 feet, find EG.

Answer: 64


Question: Find $x$.

Answer: 7


Question: In the figure, $m \angle 1=4 p+15$, $m \angle 3=3 p-10$ and $m \angle 4=6 r+5 $. Find the value of $p$.

Answer: 25


Question: Find x.

Answer: \sqrt { 21 }


Question: Find $BC$.

Answer: 13


Question: Find x.

Answer: 24 \sqrt { 3 }


Question: If $ZP = 4x - 9$ and $PY = 2x + 5$, find $ZX$.

Answer: 38


Question: Find y

Answer: 6 \sqrt { 3 }


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

Answer: 21.8


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

Answer: 7.2


Question: $\overline{AB} \cong \overline{DF}$. Find $x$.

Answer: 2


Question: Find $m \angle WYZ$.

Answer: 23


Question: Find the area of the shaded region.

Answer: 22.1


Question: Find x

Answer: 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 $m\widehat{A D}$

Answer: 135


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

Answer: 6


Question: Find $A E$ if $A B=12, A C=16,$ and $E D=5$

Answer: 15


Question: Find $x$ in the given parallelogram

Answer: 38


Question: Find x

Answer: 115


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

Answer: 129.9


Question: Find $a$ in the given parallelogram

Answer: 9


Question: Find $m\angle B$

Answer: 120


Question: Find GH in the kite

Answer: \sqrt { 369 }


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

Answer: 125


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

Answer: 105


Question: What is the measure of $\angle B$ if $m \angle A=10 ?$

Answer: 30


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

Answer: 0.38


Question: Find $m \angle R$

Answer: 29.1


Question: Find $x$.

Answer: 8


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

Answer: 50.2


Question: Find y.

Answer: 21 \sqrt { 3 }


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

Answer: 182.6


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

Answer: 106


Question: Find x.

Answer: 12


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

Answer: 24


Question: Find $y$.

Answer: 12


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

Answer: 68


Question: Find $m \angle RST$.

Answer: 55


Question: $∠6$ and $∠8$ are complementary, $m∠8 = 47$. Find the measure of $\angle 7$.

Answer: 90


Question:
Find the measure of $m\angle 1$. Assume that segments that appear
tangent are tangent.

Answer: 129


Question: Let $\overline{G H}$ be the median of $R S B A .$ Find $G H$

Answer: 62


Question: Use parallelogram PQRS to find $QP$

Answer: 5


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

Answer: 120


Question: Find the height of the parallelogram given its area with 2000 square units.

Answer: 40


Question: Find $m \angle A$ of quadrilateral ABCD

Answer: 135


Question: Find y

Answer: 10


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

Answer: 4 \sqrt { 3 }


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

Answer: 157.1


Question: Find x. Round to the nearest tenth.

Answer: 30.7


Question: Find $y$ in each figure.

Answer: 6


Question: Find $m \angle S$.

Answer: 34


Question: In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠13$.

Answer: 55


Question: Find x.

Answer: 3 \sqrt { 35 }


Question: Quadrilateral EFGH is a rectangle. If $m \angle HGE = 13$, find $m\angle FGE$.

Answer: 77


Question: Find x in the parallelogram

Answer: 37


Question: Find the side length in isosceles triangle $DEF$.

Answer: 11


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

Answer: 13.74


Question: Use parallelogram to find $b$

Answer: 11


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

Answer: 12


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

Answer: 14.1


Question: Find the area of the rhombus.

Answer: 132


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

Answer: 32


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

Answer: 150


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

Answer: 0.92


Question: Find x.

Answer: 1


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

Answer: 4.8


Question: Find $x$.

Answer: 3.5


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

Answer: 128


Question: Find the measure of $\angle 3$ if $\overline{A B} \perp \overline{B C}$.

Answer: 76


Question: In $\triangle DEF, m \angle E=108, m \angle F=26$, and $f=20$, Find $d$ to the nearest whole number.

Answer: 33


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

Answer: 4


Question: Find $m \angle 4$.

Answer: 33


Question: Find $cos C$

Answer: \frac { 4 } { 5 }


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

Answer: 60


Question: Find AB

Answer: 10


Question: Find $x$ in the figure.

Answer: 14


Question:
Circle $O$ has a radius of 13 inches. Radius $\overline{O B}$ is perpendicular to chord $\overline{C D}$ which is 24 inches long.
If $m \widehat{C D}=134,$ find $m \widehat{C B}$

Answer: 67


Question: In $\odot M$, $FL=24,HJ=48$, and $m \widehat {HP}=65$. Find $FG$.

Answer: 48


Question: Cut four congruent triangles off the corners of a rectangle to make an octagon. What is the area of the octagon?

Answer: 528


Question: Find $m\angle A$

Answer: 60


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

Answer: 30


Question: Find x.

Answer: \frac { 17 } { 2 } \sqrt { 3 }


Question: Find $XZ$.

Answer: 34


Question: Find $XW$.

Answer: 12


Question: Find x so that $GJ \parallel FK$. $G H=x+3.5, H J=x-8.5, F H=21, H K=7$.

Answer: 14.5


Question:
In $\odot P, m \angle M P L=65$ and $\overline{N P} \perp \overline{P L}$.
Find $m \widehat{N J K}$

Answer: 155


Question: A square is inscribed in a circle having a radius of $6$ inches. Find the length of each side of the square.

Answer: 6 \sqrt 2


Question: One diagonal of a rhombus is twice as long as the other diagonal. If the area of the rhombus is 169 square millimeters, what are the lengths of the diagonals?

Answer: 26


Question: Find x

Answer: 9


Question: If $AB=12,AC=16$, and $ED=5$, find $AE$.

Answer: 15


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

Answer: 10


Question: Find DE

Answer: 9


Question: Find the area of the shaded region formed by the circle and regular polygon. Round to the nearest tenth.

Answer: 76.4


Question: In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 7$.

Answer: 64


Question: Find $BC$.

Answer: 9


Question: Find $m \angle 1$.

Answer: 37.5


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

Answer: 0.88


Question: Find $x$. $A=357$ in$^2$.

Answer: 21


Question: Find $x$ so that $a ∥ b$.

Answer: 14


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

Answer: 180


Question: Find $C F$ if $\overline{B F}$ bisects $\angle A B C$ and $\overline{A C} \| \overline{E D}, B A=6, B C=7.5$, $A C=9,$ and $D E=9$

Answer: 5


Question: Find $m \angle K$

Answer: 100


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

Answer: 50


Question: Find the value of $t$ in the parallelogram.

Answer: 7


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

Answer: 8.73


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

Answer: 3


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

Answer: 58.9


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

Answer: 166


Question: Find x.

Answer: 14


Question: Find $y$.

Answer: 2


Question: Find x.

Answer: 8 \sqrt { 5 }


Question: Find y.

Answer: 48


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

Answer: 105


Question: Find $x$.

Answer: 9.5


Question:
Find the measure of $m\angle 2$. Assume that segments that appear
tangent are tangent.

Answer: 157.5


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

Answer: 64


Question:
Quadrilateral DEFG is a rectangle.  If $m \angle EFD = 2x - 3$ and $m \angle DFG = x + 12$,
find $m \angle EFD$.

Answer: 51


Question: Find y

Answer: 4 \sqrt { 2 }


Question:
Circle $O$ has a radius of 13 inches. Radius $\overline{O B}$ is perpendicular to chord $\overline{C D}$ which is 24 inches long.
Find OX

Answer: 5


Question: Find the area of $▱ JKLM$.

Answer: 24


Question: Find $m \angle 1$.

Answer: 108


Question: Find $AB$.

Answer: 4.1


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

Answer: 2


Question: If two sides of a triangle measure 12 and 7, which of the following cannot be the perimeter of the triangle?

Answer: 38


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

Answer: 7.51


Question: $\overline{AB}$ is a diameter, $AC=8$ inches, and $BC=15$ inches. Find the radius of the circle.

Answer: 8.5


Question: Find $m \angle 1$.

Answer: 70


Question: Find $w$ in the given parallelogram

Answer: 5


Question: Find $x$.

Answer: \frac { 5 } { 3 }


Question: Find y

Answer: 5


Question: If $\triangle L M N \sim \triangle Q R S, Q R=35, R S=37, S Q=12$, and $N L=5$, find the perimeter of $\triangle L M N$.

Answer: 35


Question: Find the measure of $\angle 7$ if $m∠4= m∠5$.

Answer: 89


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

Answer: 14


Question: If $m∠5 = 7x - 5$ and $m∠4 = 2x + 23$, find $x$.

Answer: 18


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

Answer: 76


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

Answer: 29


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

Answer: 40


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

Answer: 9


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 $m\widehat{A E}$

Answer: 90


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 $m \angle PXR=2 a+10$.  If $\overline{RZ}$ is an angle bisector, find $m∠PRZ$.

Answer: 35


Question: Which segments are parallel?

Answer: A D and B E


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

Answer: 109


Question: If WXYZ is a kite, find WP

Answer: \sqrt { 20 }


Question: Find x.

Answer: 17


Question: In the figure below, $∠ABC$ is intersected by parallel lines $l$ and $m$. What is the measure of $∠ABC$? Express your answer in degrees.

Answer: 71


Question: Find z

Answer: 6


Question: If DB = 24, AE = 3, and EC = 18, find AD

Answer: 4


Question: Find the measure of $m∠1$.

Answer: 109


Question: In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 6$.

Answer: 70


Question: Find $x$.

Answer: 35


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

Answer: 50


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

Answer: 72


Question: In the figure, $m∠1 = 123$. Find the measure of $\angle 14$.

Answer: 57


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

Answer: 80


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

Answer: 6.75


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

Answer: 95


Question: Find $x$.

Answer: 6


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

Answer: 16


Question: Find x.

Answer: 8


Question: Find $a,$ if $F G=18, G H=42,$ and $F K=15$

Answer: 57


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

Answer: 22.1


Question: Find PT

Answer: \frac { 20 } { 3 }


Question: Find $GD$.

Answer: 14


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

Answer: 101.8


Question: Find x

Answer: 120


Question: Find y.

Answer: 45


Question: Find the area of the rhombus.

Answer: 168


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

Answer: 7


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

Answer: 69.8


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

Answer: 12.6


Question: The perimeter of this polygon is 60 centimeters. Find the length of each side of the polygon.

Answer: 12


Question: If $XN=6,XM=2$, and $XY=10$, find $NZ$.

Answer: 24


Question: Find $x$

Answer: 1


Question: Find BC

Answer: 6


Question: Find $x$.

Answer: 30


Question: Find $\widehat{\mathrm{WN}}$ if $\triangle \mathrm{IWN}$ is equilateral and $W N=5$

Answer: \frac { 5 } { 3 } \pi


Question: Find x.

Answer: 4 \sqrt { 15 }


Question: Find x.

Answer: 4 \sqrt { 2 }


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

Answer: 54


Question: The area $A$ of the shaded region is given. Find $x$. $A = 66$ cm$^2$ .

Answer: 13.0


Question: Find the value of x.

Answer: 163


Question: $\overline{CH} \cong \overline{KJ}$. Find $x$.

Answer: 55


Question: In regular hexagon UVWXYZ, each side is 12 centimeters long. Find $W Y$.

Answer: 12 \sqrt { 3 }


Question: Find $\angle 5$

Answer: 50


Question: In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠9$.

Answer: 49


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

Answer: 248


Question: Use the Pythagorean Theorem to find the length of the hypotenuse of each right triangle.

Answer: 13


Question: $∠1$ and $∠2$ form a linear pair and $m∠2 = 67$. Find the measure of $\angle 1$.

Answer: 113


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

Answer: 3


Question: Find $m\angle MPQ$.

Answer: 101


Question: Find x to the nearest hundredth.

Answer: 43.86


Question: Find x

Answer: 10.5


Question: Find $\angle 9$

Answer: 120


Question: Find $x$.

Answer: 9.6


Question: Find z.

Answer: 6 \sqrt { 5 }


Question:
Use rectangle LMNP, parallelogram LKMJ to solve the problem.
If $L N=10, L J=2 x+1,$ and $P J=3 x-1,$ find $x$

Answer: 2


Question: In $\odot P$, $JK=10$ and $\widehat {JKL}=134$. Find $m \widehat{JL}$.

Answer: 67


Question: Find $m \angle N C L$

Answer: 120


Question: Find $m \angle 1$.

Answer: 79


Question: The pair of polygons is similar. Find x

Answer: 6


Question: $m \angle 3=x-12$ and $m \angle 6=72$. Find $x$.

Answer: 84


Question: Find the perimeter of  $\triangle D E F,$ if $\triangle D E F \sim \triangle C B F,$ perimeter of $\triangle C B F=27, D F=6,$ and $F C=8$

Answer: 20.25


Question: Find $TQ$.

Answer: 12


Question: Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 3$

Answer: 40


Question: Find $h$ in the triangle.

Answer: 8


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

Answer: 34


Question: Find $m∠1$.

Answer: 53


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

Answer: 30


Question: $\overline{WTY} \cong \overline{TWY}$. Find $x$.

Answer: 5


Question: Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 6$ if $m∠1 = 30$.

Answer: 60


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 $m\widehat{W U X}$

Answer: 308


Question: Find x.

Answer: 10


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

Answer: 10


Question: Find the perimeter of the figure.

Answer: 32


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

Answer: \sqrt { 336 }


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

Answer: 71


Question: In the figure, $\triangle A B C \sim \triangle D E F . \overline{B G}$ is a median of $\triangle A B C,$ and $\overline{E H}$ is a median of $\triangle D E F .$ Find $E H$ if $B C=30, B G=15,$ and $E F=15$

Answer: 7.5


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

Answer: 2


Question: Find $m \angle Y$

Answer: 80


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

Answer: 72


Question: In the figure, $m ∠9 = 75$. Find the measure of $\angle 6$.

Answer: 105


Question: Given that the perimeter of $\triangle A B C=25,$ find $x$. Assume that segments that appear tangent to circles are tangent.

Answer: 3


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

Answer: 270


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

Answer: \frac { 1 } { 3 }


Question: Find x.

Answer: \sqrt { 7 }


Question: Find tan X

Answer: \frac { 5 } { 12 }


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

Answer: 1440


Question: If $A B C D$ is a rhombus, and $m \angle A B C=70^{\circ}$, what is $m \angle 1 ?$

Answer: 55


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

Answer: 3.5


Question: For trapezoid $ABCD$, $S$ and $T$ are midpoints of the legs. If $CD=14$, $ST=10$, and $AB=2x$, find $x$.

Answer: 3


Question: Find $m \angle 4$.

Answer: 71.5


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

Answer: 20


Question: Find DE

Answer: 10


Question: $\triangle ABC \sim \triangle FDG$. Find the value of $x$.

Answer: 10


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

Answer: 5


Question: For trapezoid QRTU, V and S are midpoints of the legs. If QR = 4 and UT = 16, find VS.

Answer: 10


Question: Find z

Answer: 36 \sqrt { 7 }


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 $z$.

Answer: 3


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

Answer: 109


Question: Find $x$.

Answer: 12.75


Question: Find $\angle C$ of quadrilateral ABCD

Answer: 90


Question: $P Q R S$ is a rhombus inscribed in a circle. Find $m \widehat{SP}$

Answer: 90


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

Answer: 6.0


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

Answer: 8.5


Question: Find $x$.

Answer: 16


Question: If $ST=8, TR=4$, and $PT=6$, find $QR$.

Answer: 9


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

Answer: 71


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

Answer: 60


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

Answer: 76


Question: $\triangle JKL \sim \triangle WYZ$. Find $x$.

Answer: 21


Question: Find $KL$.

Answer: 12


Question: Find $QS$.

Answer: 25


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

Answer: 60


Question: Find $x$.

Answer: 90


Question: Find y.

Answer: 2 \sqrt { 6 }


Question:
$\overline{AB} \perp \overline{DC}$ and $\overline{GH} \perp \overline{FE}$.
If $\triangle ACD \sim \triangle GEF$, find $AB$.

Answer: 2.2


Question: Find $JQ$ if $Q$ is the incenter of $\triangle JLN$.  Rounded to the nearest hundredth.

Answer: 18.79


Question: If $FGHJ$ is a kite, find $m\angle GFJ$.

Answer: 80


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

Answer: 20


Question: Find x.

Answer: 2 \sqrt { 11 }


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 } { 2 }


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

Answer: 10


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

Answer: 88


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

Answer: 0.42


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

Answer: 0.42


Question: In $\odot S$, $m \widehat {PQR}=98$, Find $m \widehat {PQ}$.

Answer: 49


Question: Find $h$ in each triangle.

Answer: 11


Question: Find x

Answer: 93


Question: $m \angle 4=2 y+32$ and $m \angle 5=3 y-3$. Find $y$.

Answer: 35


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

Answer: 90


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

Answer: 2.6


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

Answer: 5


Question: Find x.

Answer: 14


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

Answer: \frac { 14 } { 3 }


Question: Find x. Round to the nearest hundredth.

Answer: 27.44


Question: In $\odot M$, $FL=24,HJ=48$, and $m \widehat {HP}=65$. Find $NJ$.

Answer: 24


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

Answer: 7


Question: Find $m \angle D$.

Answer: 80


Question: The degree measures of minor arc $\widehat{A C}$ and major arc $\widehat{A D C}$ are $x$ and $y$ respectively. If $m∠ABC = 70°$, find $x$.

Answer: 110


Question:
Circles $G, J,$ and $K$ all intersect at $L$ If $G H=10,$ find each measure.
Find JL

Answer: 5


Question: Quadrilateral DEFG is a rectangle. If $m\angle EDF = 5x - 3$ and $m\angle DFG = 3x + 7$, find $m\angle EDF$.

Answer: 22


Question: Find the area of the figure.

Answer: 120


Question: Find z

Answer: \frac { 40 } { 3 }


Question: Find $m \angle B$.

Answer: 61


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

Answer: 135


Question: If $CE=t-2$. $EB=t+1$, $CD=2$, and $CA=10$, find $CE$.

Answer: 1


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

Answer: 38


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

Answer: 6


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

Answer: 68


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

Answer: 5


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

Answer: 54


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

Answer: 10


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

Answer: 23.4


Question: Use parallelogram $ABCD$ to find $AD$

Answer: 18


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

Answer: 10.2


Question: Trapezoid $GHJK$ has an area of 188.35 square feet. If $HJ$ is 16.5 feet, find $GK$.

Answer: 26.8


Question: Which of the following facts would be sufficient to prove that line $d$ is parallel to $\overline {XZ}$?

Answer: \angle 3 \cong \angle Z


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

Answer: 2


Question: Find x

Answer: 4 \sqrt { 6 }


Question: Find $x$. $A=148$ $m^2$.

Answer: 18.5


Question: ABCD is a parallelogram with side lengths as indicated in the figure at the right. The perimeter of ABCD is 22. Find AB

Answer: 7


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

Answer: 11.2


Question: Find $x$.

Answer: 30


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

Answer: 10


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 $m\widehat{A C}$

Answer: 90


Question: Find z.

Answer: 3 \sqrt { 19 }


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

Answer: 30


Question: $\overrightarrow{BA}$ and $\overrightarrow{BC}$ are opposite rays and $\overrightarrow{BD}$ bisects $\angle ABF$. If $m \angle FBC=2x+25$ and $m \angle ABF=10x-1$, find $m \angle DBF$.

Answer: 64.5


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

Answer: 7


Question: Find $z$ in the given parallelogram

Answer: 4.5


Question: $\overline{MN} \| \overline{BC}$. Solve for $x$.

Answer: 9


Question: Find y.

Answer: 28


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

Answer: 3


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

Answer: 8


Question: Find the perimeter of $\triangle B C D,$ if $\triangle B C D \sim \triangle F D E, C D=12$, $F D=5, F E=4,$ and $D E=8$.

Answer: 25.5


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 the perimeter of $LMPQ$

Answer: 40


Question: Find $BD$ if $\overline{B F}$ bisects $\angle A B C$ and $\overline{A C} \| \overline{E D}, B A=6, B C=7.5$, $A C=9,$ and $D E=9$

Answer: 13.5


Question: Find y.

Answer: 12 \sqrt { 2 }


Question: Quadrilateral EFGH is a rectangle. If EF = 4x - 6 and HG = x + 3, find EF.

Answer: 6


Question: Find $m \angle R C M$

Answer: 43


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

Answer: 43


Question: Point $D$ is the center of the circle. What is $m \angle A B C ?$

Answer: 90


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

Answer: 95


Question: Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 3$ if $m∠1 = 30$.

Answer: 60


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

Answer: 4


Question: Find $m \angle 2$ if $m \widehat{B C}=30$ and $m \widehat{A D}=20$

Answer: 155


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

Answer: 25


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: 56.9


Question: Find x. Round to the nearest tenth.

Answer: 37.2


Question: If RL = 5, RT = 9, and WS = 6, find RW.

Answer: 7.5


Question: Find the measure of $\angle AFB$ on $\odot F$ with diameter $\overline{AC} $.

Answer: 108


Question: Find x.

Answer: 4 \sqrt { 6 }


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

Answer: 207.8


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

Answer: 178.2


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

Answer: 65.0


Question: A regular pentagon and a square share a mutual vertex $X$. The sides $\overline{X Y}$ and $\overline{X Z}$ are sides of a third regular polygon with a vertex at $X .$ How many sides does this polygon have?

Answer: 20


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

Answer: 1.5


Question: $\triangle WXY \cong \triangle WXZ$. Find $y$.

Answer: 4


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

Answer: 108


Question: Find the measure of $\angle 3$ if $m∠4= m∠5$.

Answer: 116


Question: Use parallelogram MNPR to find $x$

Answer: 8


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

Answer: 16


Question: JKLM is a rectangle. MLPR is a rhombus. $\angle J M K \cong \angle R M P$, $m \angle J M K=55, \text { and } m \angle M R P=70 . Find $m \angle K M L$

Answer: 35


Question: Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 8$

Answer: 100


Question: Find $m \angle 3$.

Answer: 38


Question: Find y.

Answer: 8 \sqrt { 3 }


Question: Each pair of polygons is similar. Find AC

Answer: 7.6


Question: $\odot  P \cong \odot Q$, Find $x$.

Answer: 11


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

Answer: 55


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

Answer: 2 \sqrt { 41 }


Question: Find $PN$.

Answer: 30


Question:
Find $m \angle A B C$
if $m \angle C D A=61$

Answer: 140


Question: Find $m\angle 2$

Answer: 90


Question: The diagonals of rhombus FGHJ intersect at K. If $GH = x + 9$ and $JH = 5x - 2$, find $x$.

Answer: 2.75


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

Answer: 12


Question: In $\odot M$, $FL=24,HJ=48$, and $m \widehat {HP}=65$. Find $m \widehat {HJ}$.

Answer: 130


Question: Find x. Round to the nearest tenth.

Answer: 17.4


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

Answer: 60


Question: The ratio of the measures of the angles of the triangle below is 3 : 2 : 1. Which of the following is not an angle measure of the triangle?

Answer: 45


Question: Find $G I$ if $G H=9, G K=6,$ and $K J=4$

Answer: 15


Question: Find $AB$.

Answer: 6.25


Question: In the figure, a regular polygon is inscribed in a circle. Find the measure of a central angle.

Answer: 60


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

Answer: 5


Question: In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠1$.

Answer: 110


Question: Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 5$ if $m∠1 = 30$.

Answer: 30


Question: Each pair of polygons is similar. Find GF

Answer: 7.5


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

Answer: 0.28


Question: Find x

Answer: 10 \sqrt { 3 }


Question: Find $m \angle JKL$.

Answer: 37


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

Answer: 232


Question: Find the area of the kite.

Answer: 336


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

Answer: 34.6


Question: Find $x$.

Answer: \frac { 97 } { 6 }


Question: In $\odot F, m \angle D F A=50$ and $\overline{C F} \perp \overline{F B}$. Find $m \widehat{A C E}$

Answer: 230


Question: Find x

Answer: 8 \sqrt { 3 }


Question: Find the area of the trapezoid.

Answer: 132


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

Answer: 1208.1


Question: If $PR \parallel  KL$, KN = 9, LN = 16, PM = 2 KP, find PR

Answer: \frac { 50 } { 3 }


Question: Find $m \angle CAD$.

Answer: 44


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

Answer: 10 \pi


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

Answer: 12


Question: Find $x$.

Answer: 5


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

Answer: 4


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

Answer: 28.3


Question: In $\odot M$, $FL=24,HJ=48$, and $m \widehat {HP}=65$. Find $m \widehat {PJ}$.

Answer: 65


Question: $\overline{AB}$ is a diameter, $AC=8$ inches, and $BC=15$ inches. Find the circumference of the circle.

Answer: 17 \pi


Question: Find $x$.

Answer: 70


Question: Find $x$.

Answer: 65


Question: $m \angle BAC=38$, $BC=5$, and $DC=5$, find $m \angle DAC$.

Answer: 38


Question: JKLM is a rectangle. MLPR is a rhombus. $\angle J M K \cong \angle R M P$, $m \angle J M K=55, \text { and } m \angle M R P=70 . Find $m \angle K L P$

Answer: 160


Question: In $\odot P$, the radius is $2$ inches, find the length of $\widehat {RS}$. Round to the nearest hundredth.

Answer: 4.54


Question: Find the perimeter of $\triangle W Z X$, if $\triangle W Z X \sim \triangle S R T, S T=6$, $W X=5,$ and the perimeter of $\triangle S R T=15$.

Answer: 12.5


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

Answer: 72


Question: $\overline{EB} \| \overline{DC}$. Find $AB$.

Answer: 7.5


Question: Quadrilateral ABCD is a rectangle. Find x

Answer: 12


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

Answer: 0.47


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

Answer: 1.8


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

Answer: 7.4


Question: $Q$ is the centroid and $BE=9$. Find $BQ$.

Answer: 6


Question: Find the measure of $\angle CFD$ on $\odot F$ with diameter $\overline{AC} $.

Answer: 123


Question: Find x.

Answer: 33 \sqrt { 3 }


Question: Find the perimeter of $\triangle R U W$ if $\triangle R U W \sim \triangle S T V$, $S T=24, V S=12, V T=18$ and $U W=21$

Answer: 63


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

Answer: 44


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

Answer: 2


Question: Use a Pythagorean Triple to find x.

Answer: 70


Question: Find the area of the parallelogram.

Answer: 552


Question: Find $x$.

Answer: 12.5


Question: Find $m\angle R$

Answer: 58


Question: Find x. Round to the nearest hundredth.

Answer: 16.64


Question: What is the area of $▱ ABCD$?

Answer: 48


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

Answer: 180


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

Answer: 40


Question: Find y

Answer: 6 \sqrt { 2 }


Question: Find x.

Answer: 4 \sqrt { 2 }


Question: Each pair of polygons is similar. Find x

Answer: 8


Question: In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 4$.

Answer: 50


Question: Find $KL$.

Answer: 12


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

Answer: 101


Question: Find $m \angle ABC$.

Answer: 51


Question: Find BC

Answer: 4


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

Answer: 528


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

Answer: 6


Question: Find $x$.

Answer: 30


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

Answer: 65


Question: Find the value of the variable t.

Answer: 5


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

Answer: 4


Question: Find $AB$.

Answer: 23


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

Answer: 113


Question: Quadrilateral ABCD is a rhombus. If $AB = 2x + 3$ and $BC = x + 7$, find $CD$.

Answer: 11


Question: In the figure, KL is tangent to $\odot M$ at K. Find the value of x.

Answer: 9.45


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

Answer: 8


Question: Find $QM$.

Answer: 12


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

Answer: 2256


Question: Find $m \angle 6$

Answer: 35


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

Answer: 4


Question: Find $m\angle V X W$

Answer: 65


Question: In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠5$.

Answer: 47


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 $m \angle Z A C$

Answer: 9


Question: Find $x$.

Answer: 22.5


Question: Find $m \angle 3$.

Answer: 66


Question: Find $x$.

Answer: 1.4


Question: Find y.

Answer: 16 \sqrt { 5 }


Question: Find the area of the rhombus.

Answer: 136


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

Answer: 98


Question: Find y

Answer: 6


Question: Find $x$.

Answer: 4.5


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

Answer: 14


Question: Find y.

Answer: \frac { 28 \sqrt 3 } { 3 }


Question: $\triangle BCD \cong \triangle WXY$. Find $x$.

Answer: 3


Question: Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 2$ if $m∠1 = 30$.

Answer: 60


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

Answer: 5.17


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

Answer: 30


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

Answer: 97


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

Answer: 8


Question: The square is circumscribed to the circle. Find the exact circumference of the circle.

Answer: 14 \pi


Question: In $\odot R$, find $TV$. Round to the nearest hundredth.

Answer: 18.44


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 value of $x$.

Answer: 1


Question: Find $m \angle Z$

Answer: 110


Question: $\Delta EFG$ is equilateral, and $\overline{E H}$ bisects $\angle E$. Find $m \angle 2$.

Answer: 30


Question:
Circle $A$ has diameters $\overline{D F}$ and $\overline{P G}$
If $D F=10$, find $D A$

Answer: 5


Question: Find the area of the triangle.

Answer: 285


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

Answer: 1.05


Question: Triangle $LMN$ is equilateral, and $\overline{MP}$ bisects $\overline{LN}$. Find the measure of each side of $\triangle LMN$.

Answer: 10


Question: In the figure, $m∠4 = 101$. Find the measure of $\angle 6$.

Answer: 101


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

Answer: 90


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

Answer: 50


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

Answer: 5.6


Question: Find $m \angle B G E$

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  $m∠ACQ$ if $m∠ACB=123-x$ and $m∠QCB = 42 + x$.

Answer: 55


Question: Find x

Answer: 10 \sqrt { 3 }


Question: Find $m\angle CAM$

Answer: 28


Question: Triangle $LMN$ is equilateral, and $\overline{MP}$ bisects $\overline{LN}$. Find $y$.

Answer: 18


Question: Find x in the figure.

Answer: 34


Question: Find y

Answer: 23.4


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

Answer: 10.7


Question: Find x. Round to the nearest tenth.

Answer: 18.8


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

Answer: 28


Question: Find the area of the rhombus.

Answer: 264


Question: Find the value of x.

Answer: 23


Question: Find the area of the parallelogram.

Answer: 315


Question: $\overrightarrow{QP}$ and $\overrightarrow{QR}$ are opposite rays, and $\overrightarrow{QT}$ bisects $\angle SOR$. If $m \angle SOR=6x+8$ and $m \angle TOR=4x-14,$ find $m \angle SQT$.

Answer: 58


Question: Find $m\angle W$

Answer: 76


Question: Find the area of the trapezoid.

Answer: 180


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

Answer: 18


Question: Find PQ

Answer: 6


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

Answer: 169.7


Question: In RSTV, RS $=6, V T=3$ and $R X$ is twice the length of $X V .$ Find $X Y .$

Answer: 4


Question: For trapezoid $ABCD$, $S$ and $T$ are midpoints of the legs. If $AB=x+4$, $CD=3x+2$, and $ST=9$, find $AB$.

Answer: 7


Question: Find $x$ for the equilateral triangle $RST$ if $RS = x + 9$, $ST = 2x$, and $RT = 3x - 9$.

Answer: 9


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

Answer: 10


Question: $\overline{EB} \| \overline{DC}$. Find $x$.

Answer: 9.5


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

Answer: 0.28


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

Answer: 15


Question: Find z.

Answer: 3


Question: If $CW=WF$ and $ED=30$, what is $DF$?

Answer: 15


Question: A square is inscribed in a circle of area 18$\pi$ square units. Find the length of a side of the square.

Answer: 6


Question: Find the scale from $B$ to $B'$.

Answer: \frac { 4 } { 3 }


Question: Find $m\angle H$

Answer: 97


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

Answer: 35.7


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

Answer: 3


Question: Find the area of the figure.

Answer: 60


Question: Find the area of the figure.

Answer: 144


Question: If $A E=m-2, E C=m+4$， $A D=4,$ and $A B=20,$ find $m$

Answer: 4


Question: Find y

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


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

Answer: 24


Question: Find the measure of $\angle 2$ if $\overline{A B} \perp \overline{B C}$.

Answer: 68


Question: Find x

Answer: 9.3


Question: In $\odot B$, $CE=13.5$. Find $BD$. Round to the nearest hundredth.

Answer: 4.29


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

Answer: 15


Question: Find $m \angle ABC$.

Answer: 22


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

Answer: 0.60


Question: Find $AD$.

Answer: 7.5


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

Answer: 20


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

Answer: 19.5


Question: find $sinS$

Answer: 0.6


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

Answer: 10


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

Answer: 34


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

Answer: 28.5


Question: Find $x$.

Answer: 5


Question: $m \angle 4=42$. Find $m \angle 7$.

Answer: 138


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

Answer: 33.7