images
list | problem
string | answer
string |
|---|---|---|
[
"images/train/1400.png"
] |
<image>Find the exact circumference of each circle.
|
10 \pi \sqrt { 2 }
|
[
"images/train/1401.png"
] |
<image>$P$ is the incenter of $\angle XYZ$. Find $PK$.
|
16
|
[
"images/train/1402.png"
] |
<image>Find $XZ$.
|
23
|
[
"images/train/1403.png"
] |
<image>In the figure, $m∠2= 110$ and $m ∠ 12 = 55$. Find the measure of $∠2$.
|
70
|
[
"images/train/1404.png"
] |
<image>Use parallelogram ABCD to find CD
|
6
|
[
"images/train/1405.png"
] |
<image>Find $m \angle K$.
|
46
|
[
"images/train/1406.png"
] |
<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.
|
271.2
|
[
"images/train/1407.png"
] |
<image>Find x
|
20
|
[
"images/train/1408.png"
] |
<image>Find x.
|
2 \sqrt { 78 }
|
[
"images/train/1409.png"
] |
<image>Find $y$ so that each quadrilateral is a parallelogram.
|
4
|
[
"images/train/1410.png"
] |
<image>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {CD}$.
|
55
|
[
"images/train/1411.png"
] |
<image>Find the measure of $\angle C$
|
110
|
[
"images/train/1412.png"
] |
<image>Find $m\angle Q$
|
60
|
[
"images/train/1413.png"
] |
<image>Find $JN$ if $\triangle JMN$ is an isosceles triangle with $\overline{JM} \cong \overline{M N}$.
|
2
|
[
"images/train/1414.png"
] |
<image>Find x. Assume that segments that appear to be tangent are tangent.
|
\sqrt { 193 }
|
[
"images/train/1415.png"
] |
<image>Find the area of the regular polygon. Round to the nearest tenth.
|
98
|
[
"images/train/1416.png"
] |
<image>Find the perimeter of the figure in feet. Round to the nearest tenth, if necessary.
|
16
|
[
"images/train/1417.png"
] |
<image>Find the area of the blue sector.
|
4.6 \pi
|
[
"images/train/1418.png"
] |
<image>What is ED?
|
not enough information
|
[
"images/train/1419.png"
] |
<image>What is the area of rectangle $WXYZ$?
|
18.6
|
[
"images/train/1420.png"
] |
<image>$\triangle FGH$ is an equilateral triangle. Find $HG$.
|
19
|
[
"images/train/1421.png"
] |
<image>$H$ is the incenter of $\triangle ABC$. Find $m \angle HAC$.
|
32
|
[
"images/train/1422.png"
] |
<image>Find $m \angle JKL$.
|
60
|
[
"images/train/1423.png"
] |
<image>Find x
|
\frac { 3 } { 7 }
|
[
"images/train/1424.png"
] |
<image>For the pair of similar figures, find the area of the green figure.
|
672
|
[
"images/train/1425.png"
] |
<image>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 $x$.
|
5
|
[
"images/train/1426.png"
] |
<image>For the pair of similar figures, find the area of the green figure.
|
240
|
[
"images/train/1427.png"
] |
<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.
|
18.5
|
[
"images/train/1428.png"
] |
<image>Find x. Round the angle measure to the nearest degree.
|
15
|
[
"images/train/1429.png"
] |
<image>find $cosR$
|
0.6
|
[
"images/train/1430.png"
] |
<image>Find x
|
8.5
|
[
"images/train/1431.png"
] |
<image>Find x
|
59
|
[
"images/train/1432.png"
] |
<image>Find the length of $\widehat {AB}$. Round to the nearest hundredth.
|
2.36
|
[
"images/train/1433.png"
] |
<image>Find the area of the figure.
|
112.5
|
[
"images/train/1434.png"
] |
<image>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 5$
|
80
|
[
"images/train/1435.png"
] |
<image>Find y.
|
6
|
[
"images/train/1436.png"
] |
<image>For trapezoid QRTU, V and S are midpoints of the legs. If TU = 26 and SV = 17, find QR.
|
8
|
[
"images/train/1437.png"
] |
<image>Find the measure of $\angle 1$ if $m∠4= m∠5$.
|
64
|
[
"images/train/1438.png"
] |
<image>Find $m \angle 3$.
|
26
|
[
"images/train/1439.png"
] |
<image>In $\odot F$, find $m \widehat {ADB}$.
|
243
|
[
"images/train/1440.png"
] |
<image>In $\odot P$, $RT=11$, find $m \widehat {QRS}$. Round to the nearest hundredth.
|
19.01
|
[
"images/train/1441.png"
] |
<image>Triangle $JKL$ is circumscribed about $\odot R$. Find the perimeter of $\triangle JKL$.
|
52
|
[
"images/train/1442.png"
] |
<image>Find x.
|
6 \sqrt { 3 }
|
[
"images/train/1443.png"
] |
<image>$\overline{HK}$ and $\overline{IG}$ are diameters of $\odot L$. Find $m \widehat {HI}$.
|
59
|
[
"images/train/1444.png"
] |
<image>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.
|
5:9
|
[
"images/train/1445.png"
] |
<image>find $tanR$
|
\frac { 4 } { 3 }
|
[
"images/train/1446.png"
] |
<image>Find x.
|
24
|
[
"images/train/1447.png"
] |
<image>Find $m \widehat{CD}$.
|
150
|
[
"images/train/1448.png"
] |
<image>In the figure, $ m ∠1 = 3a + 40 $, $ m ∠2 = 2a + 25 $, and $ m ∠3 = 5b - 26 $. Find $a$.
|
23
|
[
"images/train/1449.png"
] |
<image>For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure.
|
\frac { 4 } { 5 }
|
[
"images/train/1450.png"
] |
<image>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 $C W=2$.
|
12
|
[
"images/train/1451.png"
] |
<image>If $TU=14$, what it the radius of $\odot Q$.
|
7
|
[
"images/train/1452.png"
] |
<image>Find $x$. Round to the nearest tenth.
|
20.1
|
[
"images/train/1453.png"
] |
<image>Find x. Round side measures to the nearest tenth.
|
30.0
|
[
"images/train/1454.png"
] |
<image>Find the area of the figure.
|
56
|
[
"images/train/1455.png"
] |
<image>Find $\angle 2$
|
47
|
[
"images/train/1456.png"
] |
<image>Find x. Assume that segments that appear to be tangent are tangent.
|
36
|
[
"images/train/1457.png"
] |
<image>Solve for x in parallelogram RSTU.
|
30
|
[
"images/train/1458.png"
] |
<image>$\overline{BC} \| \overline{DF}$. $AB=x+5$, $BD=12$, $AC=3x+1$, and $CF=15$. Find $x$.
|
3
|
[
"images/train/1459.png"
] |
<image>Find $m \angle JKL$.
|
31
|
[
"images/train/1460.png"
] |
<image>Find the measure of $\angle C$. Round to the nearest degree.
|
56
|
[
"images/train/1461.png"
] |
<image>Find AB
|
60
|
[
"images/train/1462.png"
] |
<image>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 $D E=3$
|
10.8
|
[
"images/train/1463.png"
] |
<image>Find x.
|
10
|
[
"images/train/1464.png"
] |
<image>Find x.
|
5 \sqrt { 2 }
|
[
"images/train/1465.png"
] |
<image>Find $JM$ if $\triangle JMN$ is an isosceles triangle with $\overline{JM} \cong \overline{M N}$.
|
3
|
[
"images/train/1466.png"
] |
<image>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 $ ?
|
8
|
[
"images/train/1467.png"
] |
<image>Find the measure of $\angle DFB$ on $\odot F$ with diameter $\overline{AC} $.
|
165
|
[
"images/train/1468.png"
] |
<image>Find x. Round to the nearest tenth.
|
23.2
|
[
"images/train/1469.png"
] |
<image>Find $JL$.
|
12
|
[
"images/train/1470.png"
] |
<image>Find $RT$.
|
10
|
[
"images/train/1471.png"
] |
<image>If $a=10 \sqrt{3},$ find $y$
|
15 \sqrt { 3 }
|
[
"images/train/1472.png"
] |
<image>If $LK=4,MP=3,PQ=6,KJ=2,RS=6$, and $LP=2$, find $QK$.
|
6
|
[
"images/train/1473.png"
] |
<image>The square is circumscribed to the circle. Find the exact circumference of the circle.
|
25 \pi
|
[
"images/train/1474.png"
] |
<image>QRST is an isosceles trapezoid with median $\overline{X Y}$
Find $T S$ if $Q R=22$ and $X Y=15$
|
8
|
[
"images/train/1475.png"
] |
<image>Find the area of the triangle. Round to the nearest tenth if necessary.
|
240
|
[
"images/train/1476.png"
] |
<image>Find $DF$.
|
5
|
[
"images/train/1477.png"
] |
<image>Find $x$.
|
18
|
[
"images/train/1478.png"
] |
<image>Find $x$.
|
11
|
[
"images/train/1479.png"
] |
<image>Use parallelogram $ABCD$ to find $AB$
|
12
|
[
"images/train/1480.png"
] |
<image>Find the perimeter of the figure in feet. Round to the nearest tenth, if necessary.
|
28
|
[
"images/train/1481.png"
] |
<image>In the figure, $m∠4 = 101$. Find the measure of $\angle 5$.
|
79
|
[
"images/train/1482.png"
] |
<image>Find $x$.
|
4
|
[
"images/train/1483.png"
] |
<image>Find x.
|
\frac { 39 \sqrt { 2 } } { 2 }
|
[
"images/train/1484.png"
] |
<image>Find $m \angle PNM$.
|
88
|
[
"images/train/1485.png"
] |
<image>$\triangle JKL \sim \triangle WYZ$. Find $y$.
|
65
|
[
"images/train/1486.png"
] |
<image>Express the ratio of $\sin L$ as a decimal to the nearest hundredth.
|
0.38
|
[
"images/train/1487.png"
] |
<image>Find $x$.
|
2
|
[
"images/train/1488.png"
] |
<image>If $x=7 \sqrt{3},$ find $b$
|
42
|
[
"images/train/1489.png"
] |
<image>If $P T=y-3, P S=y+2, R S=12,$ and $Q S=16$
solve for $y$
|
\frac { 14 } { 3 }
|
[
"images/train/1490.png"
] |
<image>Find $z$.
|
14
|
[
"images/train/1491.png"
] |
<image>Find x. Assume that segments that appear to be tangent are tangent.
|
16
|
[
"images/train/1492.png"
] |
<image>For the pair of similar figures, use the given areas to find $x$.
|
4.3
|
[
"images/train/1493.png"
] |
<image>Use a Pythagorean Triple to find x.
|
30
|
[
"images/train/1494.png"
] |
<image>Each pair of polygons is similar. Find EG
|
15.525
|
[
"images/train/1495.png"
] |
<image>Use parallelogram to find $x$
|
5
|
[
"images/train/1496.png"
] |
<image>If $m \angle AED=95$ and $m \widehat{AD}=120$, what is $m \angle BAC$?
|
35
|
[
"images/train/1497.png"
] |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
|
471.9
|
[
"images/train/1498.png"
] |
<image>In $\triangle RST$, $Z$ is the centroid and $RZ=18$. Find $SR$.
|
28
|
[
"images/train/1499.png"
] |
<image>If $ABCDE \sim PQRST,$ find the perimeter of $ABCDE$.
|
30
|
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