question stringlengths 6 227 | answer stringlengths 1 34 | image_path stringlengths 11 14 |
|---|---|---|
Find x. | 3 | train/0.png |
If $\overline{B E} \cong \overline{E D}$ and $m \widehat{E D}=120,$ find $m \widehat{B E}$ | 120 | train/1.png |
Find x. | 2 \sqrt { 221 } | train/2.png |
Find $x$ so that $m || n$. | 27 | train/3.png |
GRID IN In the figure, the radius of circle $A$ is twice the radius of circle $B$ and four times the radius of circle $C .$ If the sum of the circumferences of the three circles is $42 \pi,$ find the measure of $\overline{A C}$ | 27 | train/4.png |
Find $m \angle 2$. | 34 | train/5.png |
Find the area of a regular hexagon with a perimeter of 72 feet. | 374.1 | train/6.png |
Find the area of the parallelogram. Round to the nearest tenth if necessary. | 420 | train/7.png |
Find the area of the shaded region. Round to the nearest tenth if necessary. | 108.5 | train/8.png |
The triangle is inscribed into the circle. Find the exact circumference of the circle. | 12 \pi | train/9.png |
Find x | 4 | train/10.png |
Find the area of the shaded sector. Round to the nearest tenth. | 311.5 | train/11.png |
Find $x$ in the figure. | 16 | train/12.png |
Find $x$. | 35 | train/13.png |
In the figure, square $WXYZ$ is inscribed in $\odot R$. Find the measure of a central angle. | 90 | train/14.png |
Find y. | 45 | train/15.png |
Find $\angle D$ of quadrilateral ABCD | 45 | train/16.png |
Find $x$. | 70 | train/17.png |
The diagonals of rhombus FGHJ intersect at K.
If $m\angle FJH = 82$, find $m\angle KHJ$. | 49 | train/18.png |
Find $y$ in the given parallelogram | 15 | train/19.png |
Find $HK$. | 10 | train/20.png |
$\triangle RST \cong \triangle XYZ$. Find $y$. | 15 | train/21.png |
Find x. Round to the nearest tenth. | 24.7 | train/22.png |
Find DX if $E X=24$ and $D E=7$ | 25 | train/23.png |
Find $TR$. | 4 | train/24.png |
Find z | 2 \sqrt { 6 } | train/25.png |
Find the measure of $\angle 4$ if $m∠4= m∠5$. | 32 | train/26.png |
Find the perimeter of the triangle. Round to the nearest tenth if necessary. | 43.5 | train/27.png |
If $\overline{QR} \| \overline{XY}, XQ=15, QZ=12$, and $YR=20$, what is the length of $\overline{RZ}$. | 16 | train/28.png |
Find $x$. | 13.9 | train/29.png |
In $\odot P$, $PS=4$, find the length of $\widehat {QR}$. Round to the nearest hundredth. | 4.75 | train/30.png |
Find $y$ if $\triangle JLM \sim \triangle QST$. | 4 | train/31.png |
Find $MP$. | 8 | train/32.png |
Find x. | 24 \sqrt { 2 } | train/33.png |
For the pair of similar figures, use the given areas to find $x$. | 10.4 | train/34.png |
Find the length of $\widehat {ZY}$. Round to the nearest hundredth. | 5.24 | train/35.png |
Find the value of x. | 130 | train/36.png |
Find $m \angle A B C$ if $m \widehat{A B}=102$ | 129 | train/37.png |
If $R T=15, Q P=21,$ and $P T=8,$ find $T S$ | 20 | train/38.png |
$\triangle K L N$ and $\triangle L M N$ are isosceles and $m \angle J K N=130$. Find the measure of $\angle LKN$. | 81 | train/39.png |
Find x. Round the side measure to the nearest tenth. | 34.8 | train/40.png |
Find sinA | \sqrt { 26 } / 26 | train/41.png |
If XM = 4, XN = 6, and NZ = 9, find XY. | 10 | train/42.png |
Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent. | 8 | train/43.png |
Find $x$. | \frac { 26 } { 3 } | train/44.png |
In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 2$. | 110 | train/45.png |
Find the measure of $∠A$ to the nearest tenth. | 16.7 | train/46.png |
Find x. | 2 \sqrt { 13 } | train/47.png |
Find $ m ∠RSU $ so that $ m \parallel n $. | 124 | train/48.png |
Find tanB | 5 | train/49.png |
$RP=3.5$ and $JP=9$. Find $PL$. | 7 | train/50.png |
If PR || WX, WX = 10, XY = 6, WY = 8, RY = 5, and PS = 3, find SY | 4 | train/51.png |
Find x. | 2 \sqrt { 5 } | train/52.png |
The sum of the circumference of circles $H,J,K$ is $56 \pi$ units. Find $KJ$. | 24 | train/53.png |
Solve for x in the figure below. | 7 | train/54.png |
Find the measure of $\angle 2$ if $m \angle D G F=53$ and $m \angle A G C=40$. | 50 | train/55.png |
Find $x$. | 4 | train/56.png |
Find $m \angle D G E$ | 30 | train/57.png |
Refer to the figure at the right. Find the value of $x$ if $ p \parallel q $. | 45 | train/58.png |
Find the length of $WY$ | 9 | train/59.png |
Find $m\angle U$ | 134 | train/60.png |
$\Delta DFG$ and $\Delta F G H$ are isosceles, $m \angle FDH=28$ and$\overline{DG} \cong \overline{FG} \cong \overline{FH}$. Find the measure of $\angle GFH$. | 68 | train/61.png |
Find y. | 1.5 | train/62.png |
If $\overline{PR} \| \overline{KL}, KN=9, LN=16,$ and $PM=2KP$, find $MN$. | 12 | train/63.png |
Find $NP$. | 14 | train/64.png |
In the figure, $ \overline{JM} \cong \overline{PM}$ and $ \overline{ML} \cong \overline{PL}$. If $m \angle PLJ=34$, find $m \angle JPM$. | 36.5 | train/65.png |
Find $x$. | 12 | train/66.png |
Find $x$. | 135 | train/67.png |
If $\overline{RQ} \cong \overline{RS}$ and $ m ∠RQS = 75 $, find $ m ∠R $. | 30 | train/68.png |
Find $y$ in the figure. | 40 | train/69.png |
Find x to the nearest tenth. | 150 | train/70.png |
Find $h$ in each triangle. | 6 \sqrt 3 | train/71.png |
Find x. | 10 | train/72.png |
Find $x$. | 18 | train/73.png |
Find x. | \frac { 4 } { 9 } \sqrt { 3 } | train/74.png |
Trapezoid MNPQ has an area of 360 square feet. Find the length of $\overline{MN}$. | 14 | train/75.png |
Find x. Round side measures to the nearest tenth. | 15.1 | train/76.png |
Each pair of polygons is similar. Find CD | \frac { 10 } { 3 } | train/77.png |
Find the area of the shaded sector. Round to the nearest tenth. | 7.4 | train/78.png |
If $\frac{I J}{X J}=\frac{HJ}{YJ}, m \angle W X J=130$, and $m \angle WZG=20,$ find $m \angle JIH$ | 50 | train/79.png |
If $\overline{W P}$ is a perpendicular bisector, $m \angle WHA=8 q+17$, $m \angle HWP=10+q$, $AP=6 r+4$, and $PH=22+3 r$, find $q$. | 7 | train/80.png |
Find x | 5 \sqrt { 3 } | train/81.png |
$a=14, b=48,$ and $c=50$ find $cosB$ | 0.28 | train/82.png |
Find $x$. | 9 | train/83.png |
$\triangle ABC$ is an isosceles triangle with base $BC$. What is the perimeter of the triangle? | 40 | train/84.png |
$\overline{XY}$ and $\overline{XZ}$ are midsegments of $\triangle RST$. Find $m \angle RYX$. | 124 | train/85.png |
Find x. Assume that segments that appear to be tangent are tangent. | 4 | train/86.png |
Find the perimeter of trapezoid PQRS.. | 38 + 6 \sqrt { 2 } + 6 \sqrt { 3 } | train/87.png |
Find $m\angle 3$. | 99 | train/88.png |
Find $m\angle S$ | 123 | train/89.png |
Find x. | 4 \sqrt { 3 } | train/90.png |
Find $y$ so that the quadrilateral is a parallelogram. | 9 | train/91.png |
Find $x$. | 107 | train/92.png |
$m∠11 = 4x$, $m∠12 = 2x -6 $. Find the measure of $\angle 12$. | 56 | train/93.png |
Find $m \angle TUV$ | 53 | train/94.png |
Find x | 6 | train/95.png |
Find x | 4 \sqrt { 6 } | train/96.png |
If $m\angle BAD = 38$ and $m\angle BCD = 50$, find $m\angle ADC$. | 146 | train/97.png |
Find $m \angle 5$. | 110 | train/98.png |
Find the perimeter or circumference of the figure. Round to the nearest tenth. | 25.1 | train/99.png |
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