Question: Find $a$.

Answer: 15


Question: Find the measure of $\angle 8$ if $\overline{A B} \perp \overline{B C}$.

Answer: 14


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

Answer: 25.8


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: 54.4


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

Answer: 4


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

Answer: 34


Question: Find $x$.

Answer: 20


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

Answer: 33


Question: In the figure, $m∠1 = 123$. Find the measure of $\angle 5$.

Answer: 123


Question: Find $SR$.

Answer: 4


Question: If TP = 4x + 2, QP = 2y – 6, PS = 5y - 12, and PR = 6x - 4, find x so that the quadrilateral is a parallelogram.

Answer: 3


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

Answer: 140


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

Answer: 8


Question: Find $m\angle D$

Answer: 60


Question: $\odot  C \cong \odot D$, Find $x$.

Answer: 27


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

Answer: 15.5


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

Answer: 12.8


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

Answer: 10


Question: Find $m \widehat {RQS}$ if $m \widehat{QTS}=238$.

Answer: 61


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

Answer: 3 \sqrt { 5 }


Question: If $b=3,$ find $c$

Answer: 2 \sqrt { 3 }


Question: If $m \angle 2=70-4 x$ and $m \angle 5=18 x-8,$ find $m \angle 5$

Answer: 28


Question: Find $y$.

Answer: 4


Question: Find $m \angle 4$.

Answer: 95


Question: Find $EG$.

Answer: 10


Question: Find $x$.

Answer: 9


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

Answer: 0.6


Question: Find x.

Answer: 18


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 $m \angle TUV$

Answer: 43


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

Answer: 8.6


Question: Find $x$.

Answer: 8


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

Answer: \sqrt { 63 }


Question: Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 6$

Answer: 50


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

Answer: 5


Question: Find $m \angle ABD$.

Answer: 103


Question: Find x

Answer: 5.5


Question: If $\overline{MS}$ is a median of $ \triangle MNQ$, $QS = 3a - 14$, $SN = 2a + 1$, and $m∠MSQ = 7a + 1$, find the value of $a$.

Answer: 15


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

Answer: 9


Question: Find the measure of $\angle D$

Answer: 46


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: 10.6


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

Answer: 120


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

Answer: 3


Question: Find z.

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


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

Answer: 5


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 AF

Answer: 7.5


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

Answer: 1.9


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 $m\widehat{E B}$

Answer: 90


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

Answer: 36.9


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

Answer: 59.4


Question: Find x

Answer: 2


Question: Find $m \angle A$.

Answer: 85


Question: Find y

Answer: 9.6 \sqrt { 2 }


Question: Find $m \angle C$.

Answer: 49


Question:
Use rectangle LMNP, parallelogram LKMJ to solve the problem.
If $m \angle M J N=35,$ find $m \angle M P N$

Answer: 17.5


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

Answer: 9


Question: $H$ is the incenter of $\triangle ABC$. Find $m \angle DHG$.

Answer: 120


Question: What is the measure of $\angle KLM$.

Answer: 32


Question: Trapezoid $NOPQ$ has an area of 250 square inches. Find the height of $NOPQ$.

Answer: 10


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

Answer: 16


Question: $m \widehat{J H}=114$ Find $m\angle 2$

Answer: 57


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

Answer: 18


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

Answer: 8


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

Answer: 83


Question: Find x.

Answer: 5


Question: Find x.

Answer: 6


Question: Find $MN$ if $\triangle JMN$ is an isosceles triangle with $\overline{JM} \cong \overline{M N}$.

Answer: 3


Question: Find x.

Answer: 14


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

Answer: 123


Question: Find AB

Answer: 10


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

Answer: - 8


Question: In the figure, $m ∠1 = 53$. Find the measure of $∠2$.

Answer: 127


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

Answer: 44


Question: Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 1$

Answer: 50


Question: Find $x$.

Answer: 150


Question: Find x.

Answer: 8.4


Question: Find y

Answer: \sqrt { 33 }


Question: Find $m\angle M$

Answer: 96


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

Answer: 40


Question: Find $m \angle 3$.

Answer: 29


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

Answer: 152


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

Answer: 12


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

Answer: 130


Question: In A, the radius is $14$ and $CD = 22$. Find $CE$.

Answer: 11


Question: Find the area of the shaded region.

Answer: 47.7


Question: Find y

Answer: 8 \sqrt { 3 }


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

Answer: 166.3


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

Answer: 25


Question: In the figure, $m ∠9 = 75$. Find the measure of $\angle 5$.

Answer: 75


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

Answer: 105.7


Question: In the figure, $ \triangle ABC$ is isosceles, $ \triangle DCE$ is equilateral, and $ \triangle FCG$ is isosceles. Find the measure of the $\angle 2$ at vertex $C$.

Answer: 17


Question: Find x

Answer: 37


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

Answer: 30


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

Answer: 3


Question: Find the perimeter of the $\triangle DEF$, if $\triangle ABC \sim \triangle DEF$, $AB=5, BC=6, AC=7$, and $DE=3$.

Answer: 10.8


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

Answer: 45


Question: Suppose $B D=12$ millimeters. Find the radius of the circle.

Answer: 6


Question: Find the rhombus of the kite.

Answer: 240


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

Answer: 4.5


Question: In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\angle 10$.

Answer: 57


Question: Find $x$.

Answer: 3


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

Answer: 28


Question: Find $y$.

Answer: 6


Question: Find x.

Answer: 21


Question: Find $m \widehat{B X}$

Answer: 117


Question: Find $m \angle 3$.

Answer: 133


Question: What is the value of tan x?

Answer: \frac { 5 } { 12 }


Question: If TP = 4x + 2, QP = 2y – 6, PS = 5y - 12, and PR = 6x - 4, find y so that the quadrilateral is a parallelogram.

Answer: 2


Question: Find $b$ in the given parallelogram

Answer: 8


Question: Each pair of polygons is similar. Find y

Answer: 14


Question: Find the exact circumference of each circle.

Answer: 10 \pi \sqrt { 2 }


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

Answer: 16


Question: Find $XZ$.

Answer: 23


Question: In the figure, $m∠2= 110$ and $m ∠ 12 = 55$. Find the measure of $∠2$.

Answer: 70


Question: Use parallelogram ABCD to find CD

Answer: 6


Question: Find $m \angle K$.

Answer: 46


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: 271.2


Question: Find x

Answer: 20


Question: Find x.

Answer: 2 \sqrt { 78 }


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

Answer: 4


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

Answer: 55


Question: Find the measure of $\angle C$

Answer: 110


Question: Find $m\angle Q$

Answer: 60


Question: Find $JN$ if $\triangle JMN$ is an isosceles triangle with $\overline{JM} \cong \overline{M N}$.

Answer: 2


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

Answer: \sqrt { 193 }


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

Answer: 98


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

Answer: 16


Question: Find the area of the blue sector.

Answer: 4.6 \pi


Question: What is ED?

Answer: not enough information


Question: What is the area of rectangle $WXYZ$?

Answer: 18.6


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

Answer: 19


Question: $H$ is the incenter of $\triangle ABC$. Find $m \angle HAC$.

Answer: 32


Question: Find $m \angle JKL$.

Answer: 60


Question: Find x

Answer: \frac { 3 } { 7 }


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

Answer: 672


Question: If $\overline{AB}$ and $\overline{JK}$ are altitudes, $\triangle DAC \sim \triangle MJL, AB=9, AD=4x-8, JK=21$, and $JM=5x+3,$ find $x$.

Answer: 5


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

Answer: 240


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: 18.5


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

Answer: 15


Question: find $cosR$

Answer: 0.6


Question: Find x

Answer: 8.5


Question: Find x

Answer: 59


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

Answer: 2.36


Question: Find the area of the figure.

Answer: 112.5


Question: Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 5$

Answer: 80


Question: Find y.

Answer: 6


Question: For trapezoid QRTU, V and S are midpoints of the legs. If TU = 26 and SV = 17, find QR.

Answer: 8


Question: Find the measure of $\angle 1$ if $m∠4= m∠5$.

Answer: 64


Question: Find $m \angle 3$.

Answer: 26


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

Answer: 243


Question: In $\odot P$, $RT=11$, find $m \widehat {QRS}$. Round to the nearest hundredth.

Answer: 19.01


Question: Triangle $JKL$ is circumscribed about $\odot R$. Find the perimeter of $\triangle JKL$.

Answer: 52


Question: Find x.

Answer: 6 \sqrt { 3 }


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

Answer: 59


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 ratio between the areas of ABCD and EFGH.

Answer: 5:9


Question: find $tanR$

Answer: \frac { 4 } { 3 }


Question: Find x.

Answer: 24


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

Answer: 150


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

Answer: 23


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 { 4 } { 5 }


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

Answer: 12


Question: If $TU=14$, what it the radius of $\odot Q$.

Answer: 7


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

Answer: 20.1


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

Answer: 30.0


Question: Find the area of the figure.

Answer: 56


Question: Find $\angle 2$

Answer: 47


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

Answer: 36


Question: Solve for x in parallelogram RSTU.

Answer: 30


Question: $\overline{BC} \| \overline{DF}$. $AB=x+5$, $BD=12$, $AC=3x+1$, and $CF=15$. Find $x$.

Answer: 3


Question: Find $m \angle JKL$.

Answer: 31


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

Answer: 56


Question: Find AB

Answer: 60


Question: Find the perimeter of the given triangle $\triangle D E F,$ if $\triangle A B C \sim \triangle D E F, A B=5$, $B C=6, A C=7,$ and $D E=3$

Answer: 10.8


Question: Find x.

Answer: 10


Question: Find x.

Answer: 5 \sqrt { 2 }


Question: Find $JM$ if $\triangle JMN$ is an isosceles triangle with $\overline{JM} \cong \overline{M N}$.

Answer: 3


Question: In rectangle JKLM shown below, $\overline{J L}$ and $M K$ are diagonals. If $J L=2 x+5$ and $K M=4 x-11$, what is $ x $ ?

Answer: 8


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

Answer: 165


Question: Find x. Round to the nearest tenth.

Answer: 23.2


Question: Find $JL$.

Answer: 12


Question: Find $RT$.

Answer: 10


Question: If $a=10 \sqrt{3},$ find $y$

Answer: 15 \sqrt { 3 }


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

Answer: 6


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

Answer: 25 \pi


Question:
QRST is an isosceles trapezoid with median $\overline{X Y}$
Find $T S$ if $Q R=22$ and $X Y=15$

Answer: 8


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

Answer: 240


Question: Find $DF$.

Answer: 5


Question: Find $x$.

Answer: 18


Question: Find $x$.

Answer: 11


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

Answer: 12


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

Answer: 28


Question: In the figure, $m∠4 = 101$. Find the measure of $\angle 5$.

Answer: 79


Question: Find $x$.

Answer: 4


Question: Find x.

Answer: \frac { 39 \sqrt { 2 } } { 2 }


Question: Find $m \angle PNM$.

Answer: 88


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

Answer: 65


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

Answer: 0.38


Question: Find $x$.

Answer: 2


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

Answer: 42


Question:
If $P T=y-3, P S=y+2, R S=12,$ and $Q S=16$
solve for $y$

Answer: \frac { 14 } { 3 }


Question: Find $z$.

Answer: 14


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

Answer: 16


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

Answer: 4.3


Question: Use a Pythagorean Triple to find x.

Answer: 30


Question: Each pair of polygons is similar. Find EG

Answer: 15.525


Question: Use parallelogram to  find $x$

Answer: 5


Question: If $m \angle AED=95$ and $m \widehat{AD}=120$, what is $m \angle BAC$?

Answer: 35


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

Answer: 471.9


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

Answer: 28


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

Answer: 30


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

Answer: 11


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

Answer: 1


Question: Find x

Answer: 2 \sqrt { 6 }


Question: Find $x$.

Answer: 7


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

Answer: 114


Question: Find x. Round to the nearest tenth.

Answer: 9.2


Question: Find the value of $x$.

Answer: 35


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

Answer: 4


Question: Find $z$ in the figure.

Answer: 13.5


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 $r$.

Answer: 10


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

Answer: 855


Question: Find x.

Answer: 52


Question: Find $y$.

Answer: 15.6


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

Answer: 5


Question: In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\angle 5$.

Answer: 123


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

Answer: 87.5


Question: Find x.

Answer: 6 \sqrt 2


Question: In the figure at the right, which cannot be true if $ m \parallel l $ and $ m ∠1 = 73 $?

Answer: \angle 1 \cong \angle 4


Question:
Find the perimeter of each polygon for the given information.
$C F=6(3-x), D B=12 y-4$

Answer: 36


Question: Find $x$.

Answer: 75


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

Answer: 7


Question: Solve for x in the figure below.

Answer: 4.75


Question: Find x. Round to the nearest tenth.

Answer: 7.2


Question: Find x

Answer: 3


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

Answer: 154.2


Question: Find $a$ if $c=8, b=10,$ and $m \angle A=60$

Answer: 9.2


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

Answer: 52


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

Answer: 30


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

Answer: 140


Question: In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠10$.

Answer: 55


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 $m \angle HWP$.

Answer: 17


Question: Find x

Answer: 91


Question: Find x. Round to the nearest tenth.

Answer: 9.9


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

Answer: 17


Question: Find $XY$.

Answer: 21


Question: Use parallelogram MNPR to find $w$

Answer: 3.5


Question: Find x

Answer: 15


Question: Find $m \widehat{B C A}$

Answer: 180


Question: What is the area of the triangle? Round your answer to the nearest tenth if necessary.

Answer: 161.3


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

Answer: 408


Question: Find y in the figure.

Answer: 45


Question: If $AC=14,BC=8$, and $AD=21$, find $ED$.

Answer: 12


Question: What is the measure of $\angle GHI$?

Answer: 110


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 $m \angle 1$.

Answer: 35


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

Answer: 6 \sqrt { 3 }


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

Answer: 33


Question: Find x.

Answer: 3 \sqrt { 5 }


Question: Find x

Answer: 0


Question: $ACDF \sim VWYZ$. Find $y$.

Answer: 3


Question: Find $y$.

Answer: 73.5


Question: Find $D C$ if $\overline{D G}$ and $\overline{J M}$ are altitudes and $\triangle K J L \sim \triangle E D C$

Answer: 4


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

Answer: 315.2


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

Answer: 15


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

Answer: 10


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

Answer: 21


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

Answer: 164.3


Question: Find $\angle 4$

Answer: 60


Question: Find x.

Answer: 8 \sqrt { 2 }


Question: Triangle $JKL$ is circumscribed about $\odot R$. Find $x$.

Answer: 4


Question: Find QS

Answer: 3


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

Answer: 85


Question: If $\overline{QR} \| \overline{XY}, \overline{XQ} \cong \overline{QZ}$, and $QR=9.5$ units, what is the length of $\overline{XY}$.

Answer: 19


Question: In quadrilateral $A B C D, A C=188, B D=214$, $m \angle B P C=70,$ and $P$ is the midpoint of $A C$ and BD. Find the perimeter of quadrilateral $A B C D .$

Answer: 561.2


Question: Quadrilateral EFGH is a rectangle. Find $m\angle HEF + m\angle EFG$.

Answer: 180


Question: Find the area of the quadrilateral.

Answer: 2829.0


Question: In the figure, $m∠1 = 94$. Find the measure of $\angle 5$.

Answer: 94


Question: What is the ratio of the measure of $\angle A C B$ to the measure of $\angle A O B ?$

Answer: 0.5


Question: Find the area of the kite.

Answer: 110


Question: Find $y$.

Answer: 35


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

Answer: 6


Question: Find $y$ if $\overline{AD}$ is an altitude of $\triangle ABC$.

Answer: 48


Question: Find $x$.

Answer: 102


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

Answer: 60


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 $m \angle B D A$

Answer: 52


Question: For trapezoid QRTU, V and S are midpoints of the legs. If QR = 2 and VS = 7, find UT.

Answer: 12


Question: Find x

Answer: 6


Question: Find $m \angle 3$.

Answer: 95


Question: What is the area of the triangle below? Round your answer to the nearest tenth if necessary.

Answer: 171.9


Question: In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠4$.

Answer: 107


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

Answer: 39


Question: In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 10$.

Answer: 142


Question: For trapezoid $J K L M, A$ and $B$ are midpoints of the legs. If $A B=57$ and $K L=21,$ find $J M$

Answer: 93


Question: Rhombus $MNPQ$ has an area of 375 square inches. If $MP$ is 25 inches, find $NQ$.

Answer: 30


Question: Find $x$.

Answer: 12


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

Answer: 11.34


Question: Find x

Answer: 45


Question: Find z

Answer: 25


Question: $m \widehat{G H}=78$ Find $m\angle 3$

Answer: 39


Question: Find $m \angle v$.

Answer: 76


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

Answer: 164


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

Answer: 174.4


Question: Quadrilateral ABCD is a rectangle. Find y

Answer: 5


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

Answer: 49


Question: $\overline{AB}$ and $\overline{CB}$ are tangent to $\odot D$. Find the value of $x$.

Answer: 20


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

Answer: 2


Question: Find y

Answer: 3 \sqrt { 2 }


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

Answer: 3


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

Answer: 90


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

Answer: 2 \sqrt { 3 }


Question:
Circle $A$ has diameters $\overline{D F}$ and $\overline{P G}$
If $A G=12,$ find $L A$

Answer: 12


Question: Find $m \angle 1$.

Answer: 59


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

Answer: 55


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 $Q S$

Answer: 716.7


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

Answer: 67.6


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

Answer: 2.0


Question: Find $x$.

Answer: 75


Question: Find the perimeter of $▱ TRVW$.

Answer: 60


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

Answer: 40.2


Question: Find $AB$.

Answer: 12


Question: If $D E=60$ and $F C=16,$ find $A B$

Answer: 68


Question: $\overrightarrow{BA}$ and $\overrightarrow{BC}$ are opposite rays and $\overrightarrow{BD}$ bisects $\angle ABF$. If $m \angle ABF=3x-8$ and $m \angle ABD=x+14$, find $m \angle ABD$.

Answer: 50


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 { 5 } { 3 }


Question: Find $KL$.

Answer: 6


Question: ABCD is a rectangle.  If $A C=9 x-1$ and $A F=2 x+7,$ find $A F$

Answer: 13


Question: Find $m \angle FED$.

Answer: 82


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

Answer: 78.5


Question: Quadrilateral $ABCD$ is a rhombus.  If $AP = 3x – 1$ and $PC = x + 9$, find $AC$.

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: 139.1


Question: Find $m\angle Y$

Answer: 68


Question: Find the measure of $ \angle 6 $ if $l  \parallel m$  and $m \angle 1 = 105$.

Answer: 105


Question: Quadrilateral ABCD is shown. AC is 40 and BD is $\frac{3}{5}$ AC . BD bisects AC. For what value of $x$ is ABCD a parallelogram.

Answer: 4


Question: Find $m \angle 2$.

Answer: 23


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

Answer: 3.40


Question: Find the area of the blue region.

Answer: 17.5


Question: $\overline{BC} \| \overline{DF}$. $AC=15$, $BD=3x-2$, $CF=3x+2$, and $AB=12$. Find $x$.

Answer: 6


Question: Find y

Answer: 4 \sqrt { 3 }


Question: What is the perimeter of the triangle?

Answer: 36


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

Answer: 5


Question: Find the exact circumference of $\odot P$

Answer: 13 \pi


Question: Find x

Answer: 20


Question: For trapezoid QRTU, V and S are midpoints of the legs.  If RQ = 5 and VS = 11, find UT.

Answer: 17


Question: Find $PW$, if $XZ = 18$ and $PY = 3$

Answer: 15


Question: Find $m \angle JLK$.

Answer: 40


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  $AB$ if $AR=3x+6$ and $RB = 5x - 14 $.

Answer: 72


Question: Find $m\angle C$

Answer: 103


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

Answer: 72


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 QL

Answer: 10


Question: Find x

Answer: 120


Question: Find the exact circumference of the circle.

Answer: 34 \pi


Question: Find x.

Answer: 5.6


Question: Find the perimeter of the $\triangle CBH,$ if $\triangle CBH \sim \triangle FEH$, $ADEG$ is a parallelogram, $CH=7$, $FH=10, FE=11$, and $EH=6$. Rounded to the nearest tenth.

Answer: 18.9


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 $m \angle RSU$

Answer: 47


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

Answer: 48


Question: Find $m \angle 1$.

Answer: 55


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

Answer: 142


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 { 3 } { 4 }


Question:
In $\odot D, \overline{D E} \cong \overline{E C}, m \overline{C F}=60,$ and
$\overline{D E} \perp \overline{E C} .$ Find $m \angle 4$

Answer: 45


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

Answer: 7


Question: Find x. Round to the nearest hundredth.

Answer: 16.93


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

Answer: 90


Question: Find x

Answer: 2 \sqrt { 22 }


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

Answer: 15


Question: In $\triangle A B C, C D$ is an altitude and $m \angle A C B=90^{\circ}$ If $A D=12$ and $B D=3,$ find $A C$ to the nearest tenth.

Answer: 13.4


Question: Use parallelogram to find $y$

Answer: 63.5


Question: Find x.

Answer: \sqrt { 11 }


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

Answer: 117.6


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

Answer: 16


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

Answer: 13


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

Answer: 55


Question: Find $x$. $A = 96$ in$^2$.

Answer: 6.6


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

Answer: 3.4


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

Answer: 110


Question: Find the measure of $\angle 7$.

Answer: 110


Question: In the figure at the right, what is the value of $p$ in terms of $m$ and $n$?

Answer: m + n - 180


Question: Find cosA

Answer: \frac { 5 \sqrt { 26 } } { 26 }


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

Answer: 5


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

Answer: 5


Question: Find x

Answer: \frac { 56 } { 5 }


Question: Find the perimeter of the parallelogram.

Answer: 116


Question: Trapezoid $ABCD$ has an area of 750 square meters. Find the height of $ABCD$.

Answer: 25


Question: Find y

Answer: 3


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

Answer: 35


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

Answer: 288


Question: Find the perimeter of the triangle at the right. Assume that segments that appear to be tangent are tangent.

Answer: 58


Question: Find $CB$.

Answer: 3


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

Answer: 100


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

Answer: 66


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

Answer: 11


Question: QRST is a rectangle. If $Q P=3 x+11$ and $P S=4 x+8,$ find $Q S$

Answer: 40


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

Answer: 15


Question: Find $m \angle 2$.

Answer: 52


Question: If $A D=24,$ find $C N$

Answer: 12


Question: Find the area of the trapezoid.

Answer: 500


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

Answer: 4


Question: Parallelogram MNPQ is shown. What is the value of $x$?

Answer: 13


Question: Find the area of the figure.

Answer: 938.4


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

Answer: 20


Question: Find $y$.

Answer: 72


Question: Find $x$.

Answer: 60


Question: Find $x$.

Answer: 11


Question: In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠6$.

Answer: 110


Question: Find $m\angle Z$

Answer: 143


Question: Find the measure of $AC$.

Answer: 38


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

Answer: 8


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

Answer: 80


Question: Find $m \angle 2$.

Answer: 106


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

Answer: 0.60


Question: Find y.

Answer: 10 \sqrt { 3 }


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

Answer: 37.5


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

Answer: 20.5


Question: Find $m \angle C$.

Answer: 122


Question: Find x

Answer: 38.4


Question: If $CN=8$. Find $DN$.

Answer: 8


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

Answer: 14.9


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

Answer: 9


Question: Find $m \angle G$.

Answer: 93


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

Answer: 14


Question: Find $RT$.

Answer: 31


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

Answer: 2


Question: Each pair of polygons is similar. Find ED

Answer: 5


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

Answer: 10


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

Answer: 6


Question: In rhombus $A B C D, A B=2 x+3$ and $B C=5 x$. Find $m \angle B C D$ if $m \angle A B C=83.2$

Answer: 96.8


Question: In the figure, $m∠8 = 96$ and $m∠12 = 42$. Find the measure of $\angle 6$.

Answer: 42


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

Answer: 30


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

Answer: 37


Question: Find $LP$.

Answer: 15


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

Answer: 4


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

Answer: 16


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

Answer: 24


Question:
ABCD is a trapezoid.
If $AC = 3x – 7$ and $BD = 2x + 8$, find the value of $x$ so that ABCD is isosceles.

Answer: 15


Question: Find x

Answer: 6 \sqrt { 2 }


Question: If $QT=11$, what is $QU$.

Answer: 11


Question: Circles $G, J,$ and $K$ all intersect at $L$. If $G H=10$. Find GJ

Answer: 5


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

Answer: 21


Question: Find $m\angle Y$

Answer: 72


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

Answer: 7.7


Question: In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 7$.

Answer: 110


Question: Find $WZ$.

Answer: 30


Question: Find $x$.

Answer: 40


Question: Find the area of $▱ TRVW$.

Answer: 108 \sqrt 3


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

Answer: 3


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

Answer: 21


Question: $m∠4 = 32$. Find the measure of $\angle 5$.

Answer: 58


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

Answer: 207.6


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

Answer: 26


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

Answer: 154.1


Question: Find the perimeter of $\triangle C P D$ if the perimeter of $\triangle B P A$ is 12 $, B M=\sqrt{13},$ and $C N=3 \sqrt{13}$

Answer: 36


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

Answer: 4.5


Question: If $AC = 12$ and $AB = 25$, what is the measure of $∠B$ to the nearest tenth?

Answer: 28.7


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

Answer: 11


Question: Find $m\angle M$

Answer: 30


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

Answer: 0.42


Question:
ABCD is a trapezoid.
If $m\angle ABC = 4x + 11$ and $m\angle DAB = 2x + 33$, find the value of $x$ so that ABCD is isosceles.

Answer: 11


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

Answer: 4.7


Question: In the figure, $\overline{FJ} \cong \overline{FH}$ and $\overline{GF} \cong \overline{GH}$. If $m∠JFH=34$, find $m∠J$.

Answer: 73


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

Answer: 1.88


Question: Find $x$.

Answer: 80


Question: Find z.

Answer: 20 \sqrt { 5 }


Question: Find y.

Answer: 12


Question: Find the measure of $\angle 6$ if $m∠4= m∠5$.

Answer: 44


Question: Each pair of polygons is similar. Find x

Answer: 71.05


Question: Find x

Answer: 2 \sqrt { 21 }


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  $m \angle Y Z V$

Answer: 37


Question: Triangle $ABC$ is similar to triangle $DEF$. Find the scale factor.

Answer: \frac { 2 } { 1 }


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

Answer: 151.25


Question: Find $x$.

Answer: 27


Question: Use parallelogram ABCD to find $x$

Answer: 3


Question: Find the ratio of the area of the circle to the area of the square.

Answer: \frac { \pi } { 4 }


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

Answer: 0.92


Question: Find the perimeter of the figure.

Answer: 48


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

Answer: 2.5


Question: find $cosS$

Answer: 0.8


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

Answer: 3


Question: If the polygon shown is regular, what is $m\angle ABC$

Answer: 140


Question: If $LN=12.4$, what is $JM$?

Answer: 6.2


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

Answer: 7


Question: Find y.

Answer: 8 \sqrt { 3 }


Question: Find x

Answer: 22.6


Question: Solve for $x$ in the figure below.

Answer: 31


Question: Find the perimeter of the figure.

Answer: 32


Question: Find $m \angle W$

Answer: 62


Question: Solve for x in the figure.

Answer: 8


Question: Find $x$.

Answer: 13


Question: If $\overline{M N} \| \overline{P Q}$, use a proportion to find the value of $x$.

Answer: 10


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

Answer: 4


Question: Find $\angle 3$

Answer: 110


Question: Find z.

Answer: 2 \sqrt { 15 }


Question: If $m\angle XZY = 3x + 6$ and $m\angle XZW = 5x - 12$, find $m\angle YXZ$.

Answer: 48


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

Answer: 22


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

Answer: 123


Question: Find the measure of $\angle 1$ if $m \angle D G F=53$ and $m \angle A G C=40$.

Answer: 37


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

Answer: 22


Question: Find $x$.

Answer: 6


Question: Find $RT$.

Answer: 24


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

Answer: 8


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

Answer: 9


Question: Find $y$ in the figure.

Answer: 45


Question: Find x. Round to the nearest tenth.

Answer: 8.0


Question: Find $m \angle B$.

Answer: 92


Question: Find x.

Answer: \frac { 14 \sqrt { 3 } } { 3 }


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 $m \widehat{B A}$

Answer: 104


Question: Find $m \angle Z$.

Answer: 80


Question: $H$ is the incenter of $\triangle ABC$. Find $BD$.

Answer: 7 \sqrt 3


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

Answer: 9


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

Answer: 1.35


Question: What is the area of the figure? Round to the nearest tenth.

Answer: 346.4


Question: Find x. Round to the nearest hundredth.

Answer: 15.20


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

Answer: 13.1


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

Answer: 56


Question: If $AB=6,BC=4$, and $AE=9$, find $ED$.

Answer: 6


Question: Find $m \angle 1$.

Answer: 123


Question: Find $m \angle JMK$.

Answer: 102


Question: Find x.

Answer: 22


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

Answer: 310


Question: In the right triangle, what is $A B$ if $B C=6 ?$

Answer: 4 \sqrt { 3 }


Question: Find $m \angle C G D$

Answer: 150


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

Answer: 41


Question: If XN = t - 2, NZ = t + 1, XM = 2, and XY = 10, solve for t

Answer: 3


Question: Find $m\angle D$

Answer: 74


Question: Find $x$.

Answer: 6


Question: Find $m \angle DAB$.

Answer: 125


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

Answer: 25


Question: Find $x$.

Answer: 127


Question: Find $LN$.

Answer: 29


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

Answer: 8


Question: Each pair of polygons is similar. Find BC

Answer: 8


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 $y$.

Answer: 250


Question: Find $h$.

Answer: 6


Question: Find the measure of $m∠C$.

Answer: 70


Question: Find $m \angle MRP$.

Answer: 60


Question: Find $F B$ if $\overline{S A}$ and $\overline{F B}$ are altitudes and $\triangle R S T \sim \triangle E F G$

Answer: 2


Question: WXYZ is a square. If $WT = 3$, Find $XY$

Answer: 3 \sqrt { 2 }


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

Answer: 22.8


Question: Find $QR$.

Answer: 25


Question: Find $m \angle 1$.

Answer: 55


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

Answer: 30


Question: Find $m \angle SRT$.

Answer: 65


Question: Find AB

Answer: 3.6


Question: Each triangle in the figure is a $30^{\circ}-60^{\circ}-90^{\circ}$ triangle. Find $x$

Answer: 2.25


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

Answer: 70.9


Question: A regular hexagon is inscribed in a circle with a diameter of 14. Find the area of the red segment.

Answer: 4.44


Question: Find $x$.

Answer: 72


Question: $\odot J \cong \odot K$ and $\widehat {MN} \cong \widehat {PQ}$. Find $PQ$.

Answer: 17


Question: Find $YZ$.

Answer: 4


Question: Find $z$ in the figure.

Answer: 22


Question: Find $VS$.

Answer: 20


Question: Find the angle measure of $\angle4$.

Answer: 52


Question: Find $m\angle P$

Answer: 120


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

Answer: 62.4


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

Answer: 10


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

Answer: 6


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

Answer: 0.47


Question: In $\odot F$, if $DA=7.4$, what is $EF$?

Answer: 3.7


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

Answer: 105


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

Answer: 144


Question: Find x. Round to the nearest tenth.

Answer: 17.7


Question: Find $m \angle 4$.

Answer: 15


Question: Use parallelogram NQRM to find w

Answer: 12


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

Answer: 4


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

Answer: 8


Question: $H$ is the incenter of $\triangle ABC$. Find $DH$.

Answer: 7


Question: Find the measure of $\angle 2$ if $m∠DGF = 53$ and $m∠AGC = 40$.

Answer: 50


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

Answer: 3108


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

Answer: 7


Question: In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 13$.

Answer: 64


Question: Find x.

Answer: 10


Question: Find the measure of $ \angle 4 $ if $l  \parallel m$  and $m \angle 1 = 105$.

Answer: 75


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 $m \angle L P Q$

Answer: 20


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

Answer: 0.575


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

Answer: 40


Question: Find $m \angle AEB$.

Answer: 109


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

Answer: 5


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

Answer: 29.2


Question: Use parallelogram to find $z$

Answer: 2


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

Answer: 7


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

Answer: 284.0


Question: Find $x$.

Answer: 107


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

Answer: 122


Question: Find $m \angle ACD$.

Answer: 44


Question: Find x.

Answer: 6


Question: In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 4$.

Answer: 64


Question: Find $XA$.

Answer: 4


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

Answer: 338.4


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

Answer: 35


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

Answer: 15


Question: In $\triangle ABC$, $\overline{AD}$ and $\overline{DC}$ are angle bisectors and $m \angle B=76$. What is the measure of $\angle ADC $?

Answer: 128


Question: Find $\angle W$

Answer: 134


Question: The area $A$ of the shaded region is given. Find $x$. $A = 128$ ft$^2$ .

Answer: 9.8


Question: Find the ratio of the area of $ \triangle ABC$ to the area of square $BCDE$.

Answer: \frac { \sqrt 3 } { 4 } : 1


Question: Quadrilateral MNOP is a rectangle. If $M O=6 x+14$ and $P N=9 x+5,$ find $x$

Answer: 3


Question: Find y

Answer: 28


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

Answer: 10.5


Question: Find $m \angle Y$.

Answer: 60


Question: Find the value of x.

Answer: 95


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

Answer: 80.0


Question: Find $\sin x$

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


Question: Suppose $C E=5.2$ inches. Find the diameter of the circle.

Answer: 10.4


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

Answer: \sqrt { 34 }


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

Answer: \sqrt { 147 }


Question: Find WX

Answer: 10


Question:
Find the perimeter of each polygon for the given information.
$S T=18,$ radius of $\odot P=5$

Answer: 58.5


Question: Find $m \angle 1$.

Answer: 26


Question: In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 12$.

Answer: 118


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

Answer: 1


Question: Find y.

Answer: 10 \sqrt { 5 }


Question: Find x

Answer: 4 \sqrt { 74 }


Question: $m \angle B=76$. The measure of $\angle A$ is half the measure of $\angle B$. What is $m \angle C$?

Answer: 66


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 $m \angle PXR=2 a+10$. $\overline{PX}$ is an altitude of $ \triangle PQR$. Find $a$.

Answer: 40


Question: If CDFG is a kite, find $m\angle D$

Answer: 122


Question: Find $x$.

Answer: 2


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

Answer: 109


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

Answer: 8.3


Question: Find the perimeter of the triangle.

Answer: 100.4


Question: Find x.

Answer: 3 \sqrt { 29 }


Question: Each pair of polygons is similar. Find CE

Answer: 11.4


Question: Find $RS$.

Answer: 31


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

Answer: 13


Question: Find x.

Answer: 12.0


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

Answer: 12.5


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

Answer: 35.1


Question: Find $x$ if $\triangle JMN$ is an isosceles triangle with $\overline{JM} \cong \overline{M N}$.

Answer: 4


Question: Find x

Answer: 39.8


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 $\angle DFG$.

Answer: 28


Question: Use parallelogram to find $x$

Answer: 79


Question: If $\overline{TU} \perp \overline{UV}$ and $\overline{UV} \perp \overline{VW}$, find $m \angle 1$.

Answer: 45


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 $m \angle SUV$

Answer: 47


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

Answer: 10.0


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

Answer: 4


Question: Find x.

Answer: 6 \sqrt { 2 }


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

Answer: 196


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

Answer: 4


Question: $P$ is the incenter of $\triangle AEC$. Find $DE$. Rounded to the nearest hundredth.

Answer: 13.11


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

Answer: 3.43


Question: Find $x$.

Answer: 3


Question: Use parallelogram to  find $a$

Answer: 2


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

Answer: 4


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

Answer: 61.7


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

Answer: 8.06


Question: Find x.

Answer: 20


Question: Find $x$.

Answer: 11


Question: Find the perimeter of the figure.

Answer: 36


Question: Find the exact value of $DE,$ given $AD=12$ and $BD=4$

Answer: 2 \sqrt { 3 }


Question: In the figure, $m∠3 = 43$. Find the measure of $\angle 16$.

Answer: 137


Question: Find $JK$.

Answer: 12


Question: In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 4$.

Answer: 62


Question: WXYZ is a parallelogram. Find $m \angle Y Z W$

Answer: 115


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

Answer: 727.5


Question: Find the area of the quadrilateral.

Answer: 260


Question: Find x

Answer: 12


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

Answer: 60.1


Question: Find x.

Answer: 12


Question: Find $m \angle TQR$.

Answer: 43


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

Answer: 8


Question: Quadrilateral $ABCD$ is a rhombus. If $AB = 14$, find $BC$.

Answer: 14


Question: Find the measure of $\angle 2$ if $m∠4= m∠5$.

Answer: 53


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

Answer: 6.1


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 } { 7 }


Question: Find x.

Answer: 6


Question: Find $y$.

Answer: 2


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

Answer: 18


Question: Use parallelogram NQRM to find QR

Answer: 15


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

Answer: 144


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

Answer: 15


Question: Use parallelogram ABCD to find $x$

Answer: 5


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

Answer: 9


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

Answer: 8


Question: If $a=10 \sqrt{3},$ find $C E$

Answer: 15


Question: Find the measure of $\angle 4$ if $m \angle D G F=53$ and $m \angle A G C=40$.

Answer: 40


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

Answer: 10


Question: If $\overline{K H}$ is parallel to $\overline{JI}$, find the measure of  $\angle 1$

Answer: 66


Question: Each pair of polygons is similar. Find x

Answer: 10


Question: Find x. Round to the nearest tenth.

Answer: 7.1


Question: Find $m \angle 3$.

Answer: 68


Question: Find $JL$, if $KP = 4$ and $PM = 7$

Answer: 11


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

Answer: 6


Question: Find x.

Answer: 9 \sqrt { 3 }


Question: Use parallelogram PQRS to find $m\angle R$

Answer: 52


Question: Find $x$.

Answer: 102


Question: Find $AB$.

Answer: 10


Question: $ABCD \sim QSRP$. Find $x$.

Answer: 63


Question: The two polygons are similar. Then find y.

Answer: 20.5


Question: Solve for $x$.

Answer: 6


Question: Find x

Answer: 5 \sqrt { 2 }


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

Answer: 72


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

Answer: 31.4


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

Answer: 105


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

Answer: 322.0


Question: Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 12$ if $m∠1 = 30$.

Answer: 120


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

Answer: 6


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

Answer: 4.5


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

Answer: 3


Question: Find z.

Answer: 8


Question: In the figure, $m∠1 = 123$. Find the measure of $\angle 16$.

Answer: 57


Question: In $\triangle JLP$, $m \angle JMP=3 x-6$, $JK=3y-2$, and $LK=5y-8$. Find $LK$ if $\overline{PK}$ is a median.

Answer: 7


Question:
Given figure $A B C D$, with $\overline{A B} \| \overline{D C}, m \angle B=60, m \angle D=45, B C=8$
and $A B=24,$ find the perimeter.

Answer: 52 + 4 \sqrt { 3 } + 4 \sqrt { 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 { 5 } { 6 }


Question: Find $x$.

Answer: 5


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

Answer: 5


Question: Find $y$.

Answer: 3


Question: Find $m\angle 3$.

Answer: 12


Question: Find x

Answer: 4 \sqrt { 29 }


Question: $ABCD \sim QSRP$. Find $y$.

Answer: 32


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

Answer: 22.7


Question: Find $x$.

Answer: 114


Question: In the figure, $m ∠9 = 75$. Find the measure of $\angle 8$.

Answer: 105


Question: In H, the diameter is $18$, $LM = 12$, and $m \widehat {LM} = 84$. Find $m \widehat {LK}$.

Answer: 42


Question: Find x

Answer: 42.5


Question: Find $m \angle H$.

Answer: 54


Question: Find $h$.

Answer: 4 \sqrt 2


Question: Find x. Round to the nearest degree.

Answer: 63


Question: Find $m \angle F$.

Answer: 30


Question: In $\triangle ABC, \overline{BD}$ is a median. If $AD=3x+5$ and $CD=5x-1,$ find $AC$.

Answer: 28


Question: WXYZ is a parallelogram. Find $m \angle X W Z$

Answer: 65


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

Answer: 90


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 Z

Answer: 108


Question: Find $y$ in the figure.

Answer: 28


Question: Find $y$.

Answer: 1


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

Answer: 42


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

Answer: 12


Question: Find x

Answer: 17.1


Question: Find $\angle B$ of quadrilateral ABCD

Answer: 90


Question: Each pair of polygons is similar. Find y

Answer: 7


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

Answer: 210


Question: Find x.

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


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

Answer: 0.47


Question: Find $y$.

Answer: 11


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 $m\widehat{B C}$

Answer: 90


Question: Find the value of $h$.

Answer: 84.85


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

Answer: \sqrt { 612 }


Question: Find y.

Answer: 7


Question: Find x

Answer: 22


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

Answer: 16.9


Question: Find $x$.

Answer: 28


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

Answer: 167.1


Question: Find the length of $FG$

Answer: 39


Question: In the figure, $\overline{A B} \parallel \overline{C E} .$ If $D A=6,$ what is $D B ?$

Answer: 6


Question: In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 2$.

Answer: 49


Question: The area of a circle is 20 $\pi$ square centimeters. What is its circumference?

Answer: 4 \sqrt 5 \pi


Question: Find x

Answer: 45


Question: Find x.

Answer: 6


Question: Rhombus $A B C D$ is circumscribed about $\odot P$ and has a perimeter of 32 Find $x$

Answer: 5


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

Answer: 31.2


Question: Find $m \angle MNP$.

Answer: 130


Question: In $\odot S$, find $PR$.

Answer: 12


Question: Find x.

Answer: 12


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

Answer: \frac { 5 } { 2 } \sqrt { 41 }


Question: In $\triangle EFG, \overline{HL} \parallel \overline{EF}, EH=9, HG=21,$ and $FL=6 .$ Find $LG$

Answer: 14


Question: Find $x$.

Answer: 3


Question: Quadrilateral $ABDC$  is a rectangle. Find $m \angle 6$ if $ m\angle 1 = 38$.

Answer: 38


Question: Find the area of the kite.

Answer: 52.5


Question: In the figure, $ \overline{GK} \cong \overline{GH}$ and $ \overline{HK} \cong \overline{KJ}$. If $m \angle HGK=28$, find $m \angle HJK$.

Answer: 38


Question: Find AS

Answer: 8


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

Answer: 13


Question: Find y.

Answer: 3 \sqrt { 5 }


Question: Find the exact circumference of each circle.

Answer: 5 \pi


Question: Find $m \angle 1$.

Answer: 85


Question: The area $A$ of the shaded region is given. Find $x$. $A = 94$ in$^2$ .

Answer: 55.0


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

Answer: 2


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

Answer: 14


Question: Find y.

Answer: \frac { 25 } { 14 }


Question: If $\overline{K H}$ is parallel to $\overline{JI}$, find the measure of  $\angle 2$

Answer: 54


Question: If $\overline{E B} \parallel \overline{D C},$ find $x$

Answer: 9.5


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

Answer: 13.7


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

Answer: 3


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

Answer: 4


Question: Find $m \angle DBA$.

Answer: 17


Question: Circle $L$ has a radius of 32 centimeters. $\overline{L H} \perp \overline{G J},$ and $G J=40$ centimeters. Find $L K$

Answer: \sqrt { 624 }


Question: $\triangle RST \cong \triangle VUT$. What is the area of $\triangle RST$?

Answer: 300


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

Answer: 8


Question: In the figure, $m∠4 = 104$, $m∠14 = 118$. Find the measure of $\angle 9$.

Answer: 62


Question: Find the area of the parallelogram.

Answer: 318.7


Question: Find $m \angle C$.

Answer: 47


Question: Find x

Answer: 4 \sqrt { 3 }


Question: $m∠4 = 32$. Find the measure of $\angle 3$.

Answer: 90


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 $r$.

Answer: 6


Question: Find x.

Answer: 5 \sqrt { 3 }


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

Answer: 18


Question: Find $m \angle 4$.

Answer: 52


Question: Find x.

Answer: 10


Question: Find the area of $▱EFGH$.

Answer: 90


Question: For trapezoid $T R S V, M$ and $N$ are midpoints of the legs. If $V S=21$ and $T R=44,$ find $M N$

Answer: 32.5


Question: $m \widehat{G H}=78$ Find $m\angle 2$

Answer: 51


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

Answer: 6


Question: Find $x$.

Answer: 170


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

Answer: 24


Question: Find x.

Answer: 5 \sqrt { 2 }


Question: Find the area of the quadrilateral.

Answer: 240


Question: Find y.

Answer: 10


Question: If $\overline{GH} \cong \overline{HK}$, $\overline{HJ} \cong \overline{YK}$, and $m \angle GJK=100$, what is the measure of $\angle HGK$ ?

Answer: 20


Question: $ACDF \sim VWYZ$. Find $x$.

Answer: 15


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

Answer: 128


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

Answer: \sqrt { 63 }


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

Answer: 14


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

Answer: 46.5


Question: $\overline{PQ}$ is tangent to circles $R$ and $S$. Find $PQ$.

Answer: 4 \sqrt 6


Question: If $SP=4, PT=6$, and $QR=12$, find $SQ$.

Answer: 8


Question: If $\overline{PQ} \cong \overline{UQ}$ and $ m ∠ P = 32 $, find $ m ∠PUQ $.

Answer: 32


Question: If CDFG is a kite, find GF

Answer: 5


Question: Find $\angle1$

Answer: 112


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

Answer: 21 \sqrt { 3 }


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

Answer: 1.8


Question: Find $m \angle DH$.

Answer: 162


Question: Find $m \angle 4$.

Answer: 64


Question: Quadrilateral MNOP is a rhombus. If $m\angle PON = 124$, find $m\angle POM$.

Answer: 62


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

Answer: 3.5


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

Answer: 180


Question: Find x.

Answer: 15.5


Question: Find y in the figure.

Answer: 5


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

Answer: 10.0


Question:
Circle $A$ has diameters $\overline{D F}$ and $\overline{P G}$
If $P A=7,$ find $P G$

Answer: 14