images images listlengths 1 1 | problem stringlengths 23 244 | answer stringlengths 1 34 |
|---|---|---|
<image>Question: Find the area of the trapezoid. | 273 | |
<image>Question: Refer to trapezoid $CDFG$ with median $\overline{HE}$. Let $\overline{YZ}$ be the median of $HEFG$. Find $YZ$. | 34 | |
<image>Question: Use the figure to find the indicated variable. If $m \angle 4 = 2x - 17$ and $m \angle 1 = 85$, find $x$. | 56 | |
<image>Question: If $m∠2 = 4x + 7$ and $m∠7 = 5x - 13$, find $x$. | 20 | |
<image>Question: Find the value of x. | 45 | |
<image>Question: $m \widehat{J H}=114$ Find $m\angle 3$ | 33 | |
<image>Question: Find x. Round to the nearest tenth if necessary. | 2 | |
<image>Question: In the figure, $LH$ is the midsegment of trapezoid $FGJK$. What is the value of $x$ ? | 11.8 | |
<image>Question: Find the area of the shaded region. | 50.3 | |
<image>Question: Find x. | \sqrt { 141 } | |
<image>Question: Find the perimeter or circumference of the figure. Round to the nearest tenth. | 16 | |
<image>Question: Find $x$. | 10 | |
<image>Question: Refer to the figure at the right. Find the value of $m ∠BCE$ if $ p \parallel q $. | 75 | |
<image>Question: Find the area of the shaded region. Round to the nearest tenth. | 37.4 | |
<image>Question: Find the perimeter of $▱ JKLM$. | 22.4 | |
<image>Question: find sin A | \frac { 5 } { 7 } | |
<image>Question: Find the measure of $∠T$ to the nearest tenth. | 56.4 | |
<image>Question: Find the perimeter of the parallelogram. | 76 | |
<image>Question: Find the measure of $∠R$ to the nearest tenth. | 39.6 | |
<image>Question: $\triangle MHJ \cong \triangle PQJ$. Find $y$. | 5 | |
<image>Question: In $\triangle ACE$, $P$ is the centroid. $PF=6$ and $AD=15$. Find $AP$. | 10 | |
<image>Question: Find the area of the figure. Round to the nearest tenth. | 374 | |
<image>Question: Find z | 4 \sqrt { 3 } | |
<image>Question: In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 5$. | 60 | |
<image>Question: Find x | 41.8 | |
<image>Question: Use parallelogram ABCD to find $y $ | 11 | |
<image>Question: Find the value of $d$ in the parallelogram | 42 | |
<image>Question: Find y. | 15 | |
<image>Question: Solve for $x$. | 12 | |
<image>Question: In the figure, $m∠3 = 43$. Find the measure of $\angle 13$. | 43 | |
<image>Question: Find x | 35 | |
<image>Question: In $\triangle PQR$, $ZQ=3a-11$, $ZP=a+5$, $PY=2 c-1$, $YR=4 c-11$, $m \angle PRZ=4 b-17$, $m \angle ZRQ=3 b-4$, $m \angle QYR=7 b+6$, and $m \angle PXR=2 a+10$. Find $PR$ if $\overline{QY}$ is a median. | 18 | |
<image>Question: Find the area of the shaded region. Round to the nearest tenth. | 66.3 | |
<image>Question: What is the circumference of $\odot T$? Round to the nearest tenth. | 40.8 | |
<image>Question: Use parallelogram to find $a$ | 7 | |
<image>Question: In $\odot F, \overline{F H} \cong \overline{F L}$ and $\mathrm{FK}=17$.
Find LK | 15 | |
<image>Question: In the figure, $\triangle FGH$ is a right triangle with hypotenuse $\overline{FH}$ and $GJ = GH$. What is the measure of $∠JGH$? | 56 | |
<image>Question: The area of trapezoid $JKLM$ is 138 square feet. The area of trapezoid $QRST$ is 5.52 square feet. If trapezoid $J K L M$ $ \sim$ trapezoid $QRST$, find the scale factor from trapezoid $JKLM$ to trapezoid $QRST$. | 5 | |
<image>Question: If $A D=8, A E=12,$ and $E C=18,$ find $A B$ | 20 | |
<image>Question: Find the area of the shaded region. Round to the nearest tenth. | 53.5 | |
<image>Question: Find $x$. | 6 | |
<image>Question: Find $x$ in $\triangle P Q R$ | 2 \sqrt { 6 } | |
<image>Question: Find the length of $AB$ in the isosceles triangle $ABC$. | 12.5 | |
<image>Question: Find the measure of $\angle 3$. | 147 | |
<image>Question: Find $m \widehat{JK}$. | 56 | |
<image>Question: Use rectangle LMNP, parallelogram LKMJ to solve the problem.
If $m \angle P L K=110,$ find $m \angle L K M$ | 140 | |
<image>Question: The segment is tangent to the circle. Find $x$. | 8 | |
<image>Question: Chords $\overline{JF}$ and $\overline{BC}$ intersect at $K .$ If $B K=8$, $K C=12,$ and $K F=16,$ find $J K$ | 6 | |
<image>Question: find tan A | \frac { 15 } { 16 } | |
<image>Question: Use parallelogram PQRS to find $QR$ | 3 | |
<image>Question: RSTV is a trapezoid with bases $\overline{R V}$ and $\overline{S T}$ and median $\overline{M N}$. Find $x$ if $M N=60, S T=4 x-1,$ and $R V=6 x+11$ | 11 | |
<image>Question: In $\odot F$, $GK=14$ and $m \widehat{GHK}=142$. Find $m \widehat {GH}$. | 71 | |
<image>Question: Find x. | 8 \sqrt { 3 } | |
<image>Question: Each pair of polygons is similar. Find x. | 91 | |
<image>Question: Find $x$ in each figure. | 13 | |
<image>Question: Find the area of the rhombus. | 60 | |
<image>Question: Find y. | 20 | |
<image>Question: Find $m \angle 4$. | 40 | |
<image>Question: Quadrilateral ABCD is a rhombus. If $m\angle BCD = 120$, find $m\angle DAC$. | 60 | |
<image>Question: Find $y$ so that $\overline{BE}$ and $\overline{AD}$ are perpendicular. | 8.3 | |
<image>Question: Find the area of the figure. Round to the nearest tenth if necessary. | 80 | |
<image>Question: If $A N$ is 5 meters long, find the exact circumference of $\odot N .$ | 10 \pi | |
<image>Question: In the figure, $m∠1 = 94$. Find the measure of $\angle 3$. | 94 | |
<image>Question: In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 4$. | 49 | |
<image>Question: Circle $O$ has a radius of $10, A B=10$ and $m \overrightarrow{A B}=60 .$ Find $m\widehat{O X}$ | 5 \sqrt { 3 } | |
<image>Question: Each pair of polygons is similar. Find y. | 30 | |
<image>Question: Find x | 8 \sqrt { 41 } | |
<image>Question: Express the ratio of $\tan A$ as a decimal to the nearest hundredth. | 1.33 | |
<image>Question: In A, the radius is $14$ and $CD = 22$. Find $EB$. Round to the nearest hundredth. | 5.34 | |
<image>Question: Find $x$. | 70 | |
<image>Question: $\overline{HK}$ and $\overline{IG}$ are diameters of $\odot L$. Find $m \widehat {HGK}$. | 180 | |
<image>Question: If $\angle R S T$ is a right angle, $\overline{SU} \perp \overline{RT}$, $\overline{UV} \perp \overline{ST},$ and $m \angle RT S=47,$ find $m \angle R$ | 43 | |
<image>Question: Find $x$ if $\overline{AD}$ is a median of $\triangle ABC$. | 5 | |
<image>Question: Use parallelogram MNPR to find $y$ | 6.45 | |
<image>Question: Find x. | 6 \sqrt { 3 } | |
<image>Question: Find the area of the figure. Round to the nearest tenth, if necessary. | 1050 | |
<image>Question: Find the perimeter of $\triangle P Q R,$ if $\triangle P Q M \sim \triangle P R Q$ | 78 | |
<image>Question: Find the circumference of the figure. Round to the nearest tenth. | 18.8 | |
<image>Question: Find x. | 35 | |
<image>Question: Find $x$. $A = 92$ in$^2$. | 8.4 | |
<image>Question: The diameter of $\odot S$ is $30$ units, the diameter of $\odot R$ is $20$ units, and $DS=9$ units. Find $CD$. | 6 | |
<image>Question: In the figure, $m ∠1 = 53$. Find the measure of $∠5$. | 127 | |
<image>Question: In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 8$. | 131 | |
<image>Question: Find the perimeter of the figure. Round to the nearest hundredth, if necessary. | 37.9 | |
<image>Question: Find the area of the kite. | 60 | |
<image>Question: Find $m\angle 1$. | 59 | |
<image>Question: Express the ratio of $\tan V$ as a decimal to the nearest hundredth. | 0.29 | |
<image>Question: For trapezoid QRTU, V and S are midpoints of the legs. If VS = 9 and UT = 12, find QR. | 7 | |
<image>Question: Find $m\angle Q$ | 121 | |
<image>Question: Refer to the triangle shown below. Find $x$ to the nearest tenth. | 10 | |
<image>Question: $a=14, b=48,$ and $c=50$, find $sinB$ | 0.96 | |
<image>Question: Find the area of the figure. Round to the nearest tenth if necessary. | 155.5 | |
<image>Question: Find QX if $E X=24$ and $D E=7$ | 18 | |
<image>Question: Find $x$. $A = 104$ ft$^2$. | 6.3 | |
<image>Question: Find y. | 10 | |
<image>Question: Find $x$. (Hint: Draw an auxiliary line.) | 22 | |
<image>Question: Find x to the nearest tenth. | 9.67 | |
<image>Question: In $\odot A, m \angle E A D=42$. Find $m \widehat{C B E}$ | 180 | |
<image>Question: Use parallelogram JKLM to find $a$ if $J K=2 b+3$ and $J M=3 a$. | 7 | |
<image>Question: Find $x$. | 45 |
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