images
list | problem
string | answer
string |
|---|---|---|
[
"images/train/1300.png"
] |
<image>Find $SR$.
|
4
|
[
"images/train/1301.png"
] |
<image>If TP = 4x + 2, QP = 2y – 6, PS = 5y - 12, and PR = 6x - 4, find x so that the quadrilateral is a parallelogram.
|
3
|
[
"images/train/1302.png"
] |
<image>$\triangle K L N$ and $\triangle L M N$ are isosceles and $m \angle J K N=130$. Find the measure of $\angle M$.
|
140
|
[
"images/train/1303.png"
] |
<image>Find $x$ so that the quadrilateral is a parallelogram.
|
8
|
[
"images/train/1304.png"
] |
<image>Find $m\angle D$
|
60
|
[
"images/train/1305.png"
] |
<image>$\odot C \cong \odot D$, Find $x$.
|
27
|
[
"images/train/1306.png"
] |
<image>Find $y$ so that the quadrilateral is a parallelogram
|
15.5
|
[
"images/train/1307.png"
] |
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
|
12.8
|
[
"images/train/1308.png"
] |
<image>In $\odot R, S U=20, Y W=20,$ and $m \widehat{Y X}=45$.
Find UV
|
10
|
[
"images/train/1309.png"
] |
<image>Find $m \widehat {RQS}$ if $m \widehat{QTS}=238$.
|
61
|
[
"images/train/1310.png"
] |
<image>Find the measure of the altitude drawn to the hypotenuse.
|
3 \sqrt { 5 }
|
[
"images/train/1311.png"
] |
<image>If $b=3,$ find $c$
|
2 \sqrt { 3 }
|
[
"images/train/1312.png"
] |
<image>If $m \angle 2=70-4 x$ and $m \angle 5=18 x-8,$ find $m \angle 5$
|
28
|
[
"images/train/1313.png"
] |
<image>Find $y$.
|
4
|
[
"images/train/1314.png"
] |
<image>Find $m \angle 4$.
|
95
|
[
"images/train/1315.png"
] |
<image>Find $EG$.
|
10
|
[
"images/train/1316.png"
] |
<image>Find $x$.
|
9
|
[
"images/train/1317.png"
] |
<image>Find the scale factor from $W$ to $W'$.
|
0.6
|
[
"images/train/1318.png"
] |
<image>Find x.
|
18
|
[
"images/train/1319.png"
] |
<image>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 $m \angle TUV$
|
43
|
[
"images/train/1320.png"
] |
<image>Find y. Round to the nearest tenth, if necessary.
|
8.6
|
[
"images/train/1321.png"
] |
<image>Find $x$.
|
8
|
[
"images/train/1322.png"
] |
<image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\angle ABD = 55$ . Find AE
|
\sqrt { 63 }
|
[
"images/train/1323.png"
] |
<image>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 6$
|
50
|
[
"images/train/1324.png"
] |
<image>If PR || KL, KN = 9, LN = 16, PM = 2 KP, find KP
|
5
|
[
"images/train/1325.png"
] |
<image>Find $m \angle ABD$.
|
103
|
[
"images/train/1326.png"
] |
<image>Find x
|
5.5
|
[
"images/train/1327.png"
] |
<image>If $\overline{MS}$ is a median of $ \triangle MNQ$, $QS = 3a - 14$, $SN = 2a + 1$, and $m∠MSQ = 7a + 1$, find the value of $a$.
|
15
|
[
"images/train/1328.png"
] |
<image>If QRST is a parallelogram, find $y$
|
9
|
[
"images/train/1329.png"
] |
<image>Find the measure of $\angle D$
|
46
|
[
"images/train/1330.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.
|
10.6
|
[
"images/train/1331.png"
] |
<image>In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$.
Find $m \widehat{C D F}$
|
120
|
[
"images/train/1332.png"
] |
<image>If $CE=t-2$. $EB=t+1$, $CD=2$, and $CA=10$, find $t$.
|
3
|
[
"images/train/1333.png"
] |
<image>Find z.
|
\frac { \sqrt { 2 } } { 3 }
|
[
"images/train/1334.png"
] |
<image>Use the Pythagorean Theorem to find the length of the hypotenuse of each right triangle.
|
5
|
[
"images/train/1335.png"
] |
<image>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
|
7.5
|
[
"images/train/1336.png"
] |
<image>Find the area of the shaded region formed by the circle and regular polygon. Round to the nearest tenth.
|
1.9
|
[
"images/train/1337.png"
] |
<image>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 $m\widehat{E B}$
|
90
|
[
"images/train/1338.png"
] |
<image>Find the measure of $∠Z$ to the nearest tenth.
|
36.9
|
[
"images/train/1339.png"
] |
<image>Find the area of the regular polygon. Round to the nearest tenth.
|
59.4
|
[
"images/train/1340.png"
] |
<image>Find x
|
2
|
[
"images/train/1341.png"
] |
<image>Find $m \angle A$.
|
85
|
[
"images/train/1342.png"
] |
<image>Find y
|
9.6 \sqrt { 2 }
|
[
"images/train/1343.png"
] |
<image>Find $m \angle C$.
|
49
|
[
"images/train/1344.png"
] |
<image>Use rectangle LMNP, parallelogram LKMJ to solve the problem.
If $m \angle M J N=35,$ find $m \angle M P N$
|
17.5
|
[
"images/train/1345.png"
] |
<image>The segment is tangent to the circle. Find $x$.
|
9
|
[
"images/train/1346.png"
] |
<image>$H$ is the incenter of $\triangle ABC$. Find $m \angle DHG$.
|
120
|
[
"images/train/1347.png"
] |
<image>What is the measure of $\angle KLM$.
|
32
|
[
"images/train/1348.png"
] |
<image>Trapezoid $NOPQ$ has an area of 250 square inches. Find the height of $NOPQ$.
|
10
|
[
"images/train/1349.png"
] |
<image>Find $y$ so that each quadrilateral is a parallelogram.
|
16
|
[
"images/train/1350.png"
] |
<image>$m \widehat{J H}=114$ Find $m\angle 2$
|
57
|
[
"images/train/1351.png"
] |
<image>Find the measure of $RS$ of equilateral triangle $RST$ if $RS = x + 9$, $ST = 2x$, and $RT = 3x - 9$.
|
18
|
[
"images/train/1352.png"
] |
<image>Find $x$ and so that each quadrilateral is a parallelogram.
|
8
|
[
"images/train/1353.png"
] |
<image>Use parallelogram MNPR to find $m \angle MQR$
|
83
|
[
"images/train/1354.png"
] |
<image>Find x.
|
5
|
[
"images/train/1355.png"
] |
<image>Find x.
|
6
|
[
"images/train/1356.png"
] |
<image>Find $MN$ if $\triangle JMN$ is an isosceles triangle with $\overline{JM} \cong \overline{M N}$.
|
3
|
[
"images/train/1357.png"
] |
<image>Find x.
|
14
|
[
"images/train/1358.png"
] |
<image>$\overline{QS}$ is a diameter of $\odot V$. Find $m \widehat {PQR}$.
|
123
|
[
"images/train/1359.png"
] |
<image>Find AB
|
10
|
[
"images/train/1360.png"
] |
<image>Find $x$ so that $ m \parallel n $.
|
- 8
|
[
"images/train/1361.png"
] |
<image>In the figure, $m ∠1 = 53$. Find the measure of $∠2$.
|
127
|
[
"images/train/1362.png"
] |
<image>Find $y$ so that each quadrilateral is a parallelogram.
|
44
|
[
"images/train/1363.png"
] |
<image>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 1$
|
50
|
[
"images/train/1364.png"
] |
<image>Find $x$.
|
150
|
[
"images/train/1365.png"
] |
<image>Find x.
|
8.4
|
[
"images/train/1366.png"
] |
<image>Find y
|
\sqrt { 33 }
|
[
"images/train/1367.png"
] |
<image>Find $m\angle M$
|
96
|
[
"images/train/1368.png"
] |
<image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find $m\widehat{Y B}$
|
40
|
[
"images/train/1369.png"
] |
<image>Find $m \angle 3$.
|
29
|
[
"images/train/1370.png"
] |
<image>Find $m \widehat {VX}$.
|
152
|
[
"images/train/1371.png"
] |
<image>What is the value of x in the figure?
|
12
|
[
"images/train/1372.png"
] |
<image>Find x. Assume that any segment that appears to be tangent is tangent.
|
130
|
[
"images/train/1373.png"
] |
<image>In A, the radius is $14$ and $CD = 22$. Find $CE$.
|
11
|
[
"images/train/1374.png"
] |
<image>Find the area of the shaded region.
|
47.7
|
[
"images/train/1375.png"
] |
<image>Find y
|
8 \sqrt { 3 }
|
[
"images/train/1376.png"
] |
<image>Find the area of the regular polygon figure. Round to the nearest tenth.
|
166.3
|
[
"images/train/1377.png"
] |
<image>Find the measure of $\angle 2$.
|
25
|
[
"images/train/1378.png"
] |
<image>In the figure, $m ∠9 = 75$. Find the measure of $\angle 5$.
|
75
|
[
"images/train/1379.png"
] |
<image>Find the area of the figure. Round to the nearest tenth.
|
105.7
|
[
"images/train/1380.png"
] |
<image>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 $C$.
|
17
|
[
"images/train/1381.png"
] |
<image>Find x
|
37
|
[
"images/train/1382.png"
] |
<image>If $m \angle 1=3 x+40$, $m \angle 2=2(y-10)$, and $m \angle 3=2 x+70$, find $x$.
|
30
|
[
"images/train/1383.png"
] |
<image>$Q$ is the centroid and $BE=9$. Find $QE$.
|
3
|
[
"images/train/1384.png"
] |
<image>Find the perimeter of the $\triangle DEF$, if $\triangle ABC \sim \triangle DEF$, $AB=5, BC=6, AC=7$, and $DE=3$.
|
10.8
|
[
"images/train/1385.png"
] |
<image>In $\odot R, S U=20, Y W=20,$ and $m \widehat{Y X}=45$.
Find $m\widehat{S T}$
|
45
|
[
"images/train/1386.png"
] |
<image>Suppose $B D=12$ millimeters. Find the radius of the circle.
|
6
|
[
"images/train/1387.png"
] |
<image>Find the rhombus of the kite.
|
240
|
[
"images/train/1388.png"
] |
<image>Find the area of the shaded sector. Round to the nearest tenth.
|
4.5
|
[
"images/train/1389.png"
] |
<image>In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\angle 10$.
|
57
|
[
"images/train/1390.png"
] |
<image>Find $x$.
|
3
|
[
"images/train/1391.png"
] |
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
|
28
|
[
"images/train/1392.png"
] |
<image>Find $y$.
|
6
|
[
"images/train/1393.png"
] |
<image>Find x.
|
21
|
[
"images/train/1394.png"
] |
<image>Find $m \widehat{B X}$
|
117
|
[
"images/train/1395.png"
] |
<image>Find $m \angle 3$.
|
133
|
[
"images/train/1396.png"
] |
<image>What is the value of tan x?
|
\frac { 5 } { 12 }
|
[
"images/train/1397.png"
] |
<image>If TP = 4x + 2, QP = 2y – 6, PS = 5y - 12, and PR = 6x - 4, find y so that the quadrilateral is a parallelogram.
|
2
|
[
"images/train/1398.png"
] |
<image>Find $b$ in the given parallelogram
|
8
|
[
"images/train/1399.png"
] |
<image>Each pair of polygons is similar. Find y
|
14
|
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