images
list | problem
string | answer
string |
|---|---|---|
[
"images/train/800.png"
] |
<image>Find y
|
4 \sqrt { 3 }
|
[
"images/train/801.png"
] |
<image>Find $x$.
|
66
|
[
"images/train/802.png"
] |
<image>Find x.
|
17
|
[
"images/train/803.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.
|
30.4
|
[
"images/train/804.png"
] |
<image>In the figure, $ \triangle ABC$ is isosceles, $ \triangle DCE$ is equilateral, and $ \triangle FCG$ is isosceles. Find the measures of the $\angle 4$ at vertex $C$.
|
17
|
[
"images/train/805.png"
] |
<image>Find y. Round to the nearest tenth, if necessary.
|
22.5
|
[
"images/train/806.png"
] |
<image>Find y
|
4 \sqrt { 3 }
|
[
"images/train/807.png"
] |
<image>Find $XZ$ of isosceles $\triangle XYZ$
|
12
|
[
"images/train/808.png"
] |
<image>Find $m \angle 2$.
|
24
|
[
"images/train/809.png"
] |
<image>Find x.
|
0.5
|
[
"images/train/810.png"
] |
<image>If $J,P,$ and $L$ are the midpoints of $\overline{KH}, \overline{HM}$ and $\overline{MK}$, respectively. Find $x$.
|
4.75
|
[
"images/train/811.png"
] |
<image>If $ABCDE \sim PQRST,$ find the scale factor of $ABCDE$ to $PQRST$.
|
\frac { 4 } { 3 }
|
[
"images/train/812.png"
] |
<image>Quadrilateral DEFG is a rectangle. If $FD = 3x - 7$ and $EG = x + 5$, find $EG$.
|
6
|
[
"images/train/813.png"
] |
<image>Find the value of $x$ in the figure below.
|
128
|
[
"images/train/814.png"
] |
<image>If KLMN is a parallelogram, find the value of the
indicated variable. Find y
|
11
|
[
"images/train/815.png"
] |
<image>What is the length of $R T ?$
|
5 \sqrt { 2 }
|
[
"images/train/816.png"
] |
<image>Find $\angle 8$
|
90
|
[
"images/train/817.png"
] |
<image>What is the perimeter of the figure?
|
20
|
[
"images/train/818.png"
] |
<image>Find $x$.
|
70
|
[
"images/train/819.png"
] |
<image>Find the measure of $\angle A$. Round to the nearest degree.
|
74
|
[
"images/train/820.png"
] |
<image>Find $m\angle B$
|
112
|
[
"images/train/821.png"
] |
<image>Find y. Round to the nearest tenth.
|
11.7
|
[
"images/train/822.png"
] |
<image>Use a calculator to find the measure of $∠J$ to the nearest degree.
|
45
|
[
"images/train/823.png"
] |
<image>Express the ratio of $\sin A$ as a decimal to the nearest hundredth.
|
0.80
|
[
"images/train/824.png"
] |
<image>WXYZ is a square. If $WT = 3$, find $m \angle WTZ$
|
90
|
[
"images/train/825.png"
] |
<image>Find x
|
18
|
[
"images/train/826.png"
] |
<image>In the figure, $m ∠9 = 75$. Find the measure of $\angle 12$.
|
105
|
[
"images/train/827.png"
] |
<image>Find $m \widehat{Y C}$.
|
60
|
[
"images/train/828.png"
] |
<image>Find the perimeter of the figure. Round to the nearest hundredth, if necessary.
|
9.2
|
[
"images/train/829.png"
] |
<image>In $\odot R, S U=20, Y W=20,$ and $m \widehat{Y X}=45$.
Find WZ
|
10
|
[
"images/train/830.png"
] |
<image>$a=14, b=48,$ and $c=50$ find $tanA$
|
0.29
|
[
"images/train/831.png"
] |
<image>Find $R S$ if $P Q=12, Q R=2,$ and $T S=3$
|
4
|
[
"images/train/832.png"
] |
<image>Use parallelogram JKLM to find m \angle JKL if $J K=2 b+3$ and $J M=3 a$.
|
80
|
[
"images/train/833.png"
] |
<image>Find $m \angle 7$.
|
70
|
[
"images/train/834.png"
] |
<image>Find $RS$.
|
8
|
[
"images/train/835.png"
] |
<image>Find the area of the figure to the nearest tenth.
|
87.5
|
[
"images/train/836.png"
] |
<image>Find x. Round side measures to the nearest tenth.
|
7.7
|
[
"images/train/837.png"
] |
<image>Find x.
|
85
|
[
"images/train/838.png"
] |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
|
63.2
|
[
"images/train/839.png"
] |
<image>Find x
|
60
|
[
"images/train/840.png"
] |
<image>Which of the following statements about the figure is true?
|
a + b = 90
|
[
"images/train/841.png"
] |
<image>$\overline{JH}, \overline{JP},$ and $\overline{PH}$ are midsegments of $\triangle KLM$. Find $x$.
|
57
|
[
"images/train/842.png"
] |
<image>$Q$ is the incenter of $\triangle JKL$. Find $m \angle QJK$.
|
35
|
[
"images/train/843.png"
] |
<image>In $\odot S, m \angle T S R=42$
Find $m\widehat{KT}$
|
138
|
[
"images/train/844.png"
] |
<image>Find the measure of $\angle 2$.
|
25
|
[
"images/train/845.png"
] |
<image>Find $y$ in the figure.
|
15
|
[
"images/train/846.png"
] |
<image>Quadrilateral ABCD is a rhombus. If $m\angle BCD$ = 64, find $m\angle BAC$.
|
32
|
[
"images/train/847.png"
] |
<image>Find the area of the shaded sector. Round to the nearest tenth.
|
1.5
|
[
"images/train/848.png"
] |
<image>Find $GH$
|
39
|
[
"images/train/849.png"
] |
<image>Find $x$.
|
3
|
[
"images/train/850.png"
] |
<image>In the figure, $ \overline{JM} \cong \overline{PM}$ and $ \overline{ML} \cong \overline{PL}$. If $m \angle PLJ=58$, find $m \angle PJL$.
|
30.5
|
[
"images/train/851.png"
] |
<image>Find $m\angle 3$
|
32
|
[
"images/train/852.png"
] |
<image>What is the value of $x$ if $m \widehat{NR}=62$ and $m \widehat {NP}=108$?
|
64
|
[
"images/train/853.png"
] |
<image>Find y.
|
4 \sqrt { 6 }
|
[
"images/train/854.png"
] |
<image>Find $m\angle E$
|
158
|
[
"images/train/855.png"
] |
<image>For the pair of similar figures, use the given areas to find the scale factor from the blue to the green figure.
|
\frac { 1 } { \sqrt { 3 } }
|
[
"images/train/856.png"
] |
<image>Find x. Round the side measure to the nearest tenth.
|
22.8
|
[
"images/train/857.png"
] |
<image>Find x
|
29.1
|
[
"images/train/858.png"
] |
<image>Find $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
|
6
|
[
"images/train/859.png"
] |
<image>Find $m \angle 2$.
|
52
|
[
"images/train/860.png"
] |
<image>Quadrilateral WXYZ is a rectangle. If $XZ = 2c$ and $ZY = 6$, and $XY = 8$, find $WY$.
|
10
|
[
"images/train/861.png"
] |
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
|
50
|
[
"images/train/862.png"
] |
<image>Find $y$ so that the quadrilateral is a parallelogram.
|
20
|
[
"images/train/863.png"
] |
<image>Find x
|
45
|
[
"images/train/864.png"
] |
<image>Find $h$ in the triangle.
|
3 \sqrt 2
|
[
"images/train/865.png"
] |
<image>Find $x$. Round to the nearest tenth.
|
4.8
|
[
"images/train/866.png"
] |
<image>Find $DB$.
|
9.2
|
[
"images/train/867.png"
] |
<image>Use parallelogram ABCD to find $m\angle DAC$
|
72
|
[
"images/train/868.png"
] |
<image>Quadrilateral ABCD is a rectangle. Find x
|
5
|
[
"images/train/869.png"
] |
<image>Find x.
|
48
|
[
"images/train/870.png"
] |
<image>Find y.
|
1
|
[
"images/train/871.png"
] |
<image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find $m\widehat{D Z}$
|
40
|
[
"images/train/872.png"
] |
<image>Find $m \angle 1$.
|
65
|
[
"images/train/873.png"
] |
<image>Refer to the figure at the right. Find z.
|
11.09
|
[
"images/train/874.png"
] |
<image>$A E$ is a tangent. If $A D=12$ and $F E=18$, how long is $A E$ to the nearest tenth unit?
|
27.5
|
[
"images/train/875.png"
] |
<image>Find $\angle V$
|
46
|
[
"images/train/876.png"
] |
<image>Find $m\angle J$
|
112
|
[
"images/train/877.png"
] |
<image>Find $y$ so that the quadrilateral is a parallelogram
|
5
|
[
"images/train/878.png"
] |
<image>Find the measure of $\angle 3$ if $m∠DGF = 53$ and $m∠AGC = 40$.
|
50
|
[
"images/train/879.png"
] |
<image>Find $y$.
|
13
|
[
"images/train/880.png"
] |
<image>WXYZ is a square. If $WT = 3$, find $ZX$
|
6
|
[
"images/train/881.png"
] |
<image>For trapezoid QRST, M and P are midpoints of the legs. If PM = 2x, QR = 3x, and TS = 10, find PM.
|
20
|
[
"images/train/882.png"
] |
<image>Find $y$ so that the quadrilateral is a parallelogram.
|
8
|
[
"images/train/883.png"
] |
<image>$\overline{E D}$ is tangent to $\odot F$ at point $E .$ Find $x$
|
5
|
[
"images/train/884.png"
] |
<image>Use parallelogram NQRM to find NQ
|
14
|
[
"images/train/885.png"
] |
<image>In $\odot Z, \angle W Z X \cong \angle X Z Y, m \angle V Z U=4 x$, $m \angle U Z Y=2 x+24,$ and $\overline{V Y}$ and $\overline{W U}$ are diameters.
Find $m\widehat{W V}$
|
76
|
[
"images/train/886.png"
] |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
|
374.5
|
[
"images/train/887.png"
] |
<image>Find the measure of $\angle 2$ in the figure.
|
52
|
[
"images/train/888.png"
] |
<image>Quadrilateral $ABDC$ is a rectangle. Find $m \angle 5 if $ m\angle 1 = 38$. $
|
104
|
[
"images/train/889.png"
] |
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
|
170
|
[
"images/train/890.png"
] |
<image>Find $m\angle V$
|
193
|
[
"images/train/891.png"
] |
<image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 8$.
|
62
|
[
"images/train/892.png"
] |
<image>Find $ST$.
|
5
|
[
"images/train/893.png"
] |
<image>Find the perimeter of $\triangle D E F$ if $\triangle D E F \sim \triangle G F H$.
|
12.75
|
[
"images/train/894.png"
] |
<image>Find ST
|
\frac { 50 } { 3 }
|
[
"images/train/895.png"
] |
<image>If $\triangle SRY \sim \triangle WXQ, \overline{RT} $ is an altitude of $\triangle SRY$, $\overline{XV}$ is an altitude of $\triangle WXQ, RT=5, RQ=4, QY=6$, and $Y X=2,$ find $XV$.
|
4
|
[
"images/train/896.png"
] |
<image>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 $m \widehat{A D C}$
|
162
|
[
"images/train/897.png"
] |
<image>If $m \angle 1=3 x+40$, $m \angle 2=2(y-10)$, and $m \angle 3=2 x+70$, find $y$.
|
75
|
[
"images/train/898.png"
] |
<image>Find $m \angle 5$.
|
55
|
[
"images/train/899.png"
] |
<image>Find $y$.
|
10
|
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