Datasets:
hiyouga
/
rl-mixed-dataset

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1
images
list
problem
string
answer
string
[ "images/train/300.png" ]
<image>Find the measure of $\angle 1$.
70
[ "images/train/301.png" ]
<image>Find $x$. $A = 78$ cm$^2$.
8.0
[ "images/train/302.png" ]
<image>Find x.
5 \sqrt { 3 }
[ "images/train/303.png" ]
<image>Find $x$ so that the quadrilateral is a parallelogram
2
[ "images/train/304.png" ]
<image>In $\odot C$, $m \angle HCG=2x$ and $m \angle HCD=6x+28$, find $m \widehat {HD}$.
142
[ "images/train/305.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 area of ABCD.
45
[ "images/train/306.png" ]
<image>Find the measure of $XT$.
7
[ "images/train/307.png" ]
<image>In $\odot A, m \angle E A D=42$. Find $m \widehat{E D B}$
222
[ "images/train/308.png" ]
<image>$m \widehat{J H}=114$ Find $m\angle 1$
33
[ "images/train/309.png" ]
<image>Find the value of the variable w.
8
[ "images/train/310.png" ]
<image>Find y.
14
[ "images/train/311.png" ]
<image>Given $a ∥ b$, find $m∠1$.
79
[ "images/train/312.png" ]
<image>In the figure, $ \triangle ABC$ is isosceles, $ \triangle DCE$ is equilateral, and $ \triangle FCG$ is isosceles. Find the measures of the $\angle 5$ at vertex $C$.
18
[ "images/train/313.png" ]
<image>In $\Delta G H J$, $H P=5 x-16$, $P J=3 x+8$, $m \angle G J N=6 y-3$, $m \angle N J H=4 y+23$ and $m \angle H M G=4 z+14$. Find $m∠GJH$ if $\overline{JN}$ is an angle bisector.
150
[ "images/train/314.png" ]
<image>Find $x$.
8
[ "images/train/315.png" ]
<image>Find $m \angle A G D$
90
[ "images/train/316.png" ]
<image>Find the measure of $∠T$ to the nearest tenth.
64.6
[ "images/train/317.png" ]
<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
80
[ "images/train/318.png" ]
<image> In the figure, below, square $A B C D$ is attached to $\triangle A D E$ as shown. If $m \angle E A D$ is $30^{\circ}$ and $A E$ is equal to $4 \sqrt{3}$, then what is the area of square $A B C D $?
64
[ "images/train/319.png" ]
<image>Find the area of the figure. Round to the nearest tenth.
12
[ "images/train/320.png" ]
<image>Find $m \angle 2$.
39
[ "images/train/321.png" ]
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
153
[ "images/train/322.png" ]
<image>Find $m\angle X$
36
[ "images/train/323.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 x
8
[ "images/train/324.png" ]
<image>Find the area of the figure.
150
[ "images/train/325.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.
4.1
[ "images/train/326.png" ]
<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 8$.
116
[ "images/train/327.png" ]
<image>Each pair of polygons is similar. Find AB
\frac { 16 } { 3 }
[ "images/train/328.png" ]
<image>Find $y$.
8
[ "images/train/329.png" ]
<image>The diameters of $\odot A, \odot B,$ and $\odot C$ are $8$ inches, $18$ inches, and $11$ inches, respectively. Find $FB$.
5
[ "images/train/330.png" ]
<image>Find y so that $e || f$.
20
[ "images/train/331.png" ]
<image>In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$. Find $m \widehat{B C D}$
150
[ "images/train/332.png" ]
<image>In the figure, $m∠1 = 123$. Find the measure of $\angle 11$.
123
[ "images/train/333.png" ]
<image>MNQR is a rectangle. If $N R=2 x+10$ and $N P=2 x-30$ find $M P$
40
[ "images/train/334.png" ]
<image>Find x. Round side measures to the nearest tenth.
4.1
[ "images/train/335.png" ]
<image>Find the measure of the altitude drawn to the hypotenuse.
\sqrt { 26 }
[ "images/train/336.png" ]
<image>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {ACF}$.
270
[ "images/train/337.png" ]
<image>Find $m \angle ACB$.
136
[ "images/train/338.png" ]
<image>Find y.
3 \sqrt { 13 }
[ "images/train/339.png" ]
<image>Find the area of the figure. Round to the nearest tenth if necessary.
39.4
[ "images/train/340.png" ]
<image>Find the measure of $\angle 6$.
140
[ "images/train/341.png" ]
<image>What is the value of x in the figure?
26
[ "images/train/342.png" ]
<image>Refer to the figure at the right. The orthocenter of $\triangle A B C$ is located 6.4 units from point $D$. Find $B C$.
10.03
[ "images/train/343.png" ]
<image>If $EN=13$, what is the diameter of the circle?
26
[ "images/train/344.png" ]
<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 3$.
116
[ "images/train/345.png" ]
<image>Find the area of the trapezoid.
272
[ "images/train/346.png" ]
<image>In right triangle $ABC$ shown below, what is the measure of $∠ A$ to the nearest tenth of a degree?
38.9
[ "images/train/347.png" ]
<image>Find x. Assume that any segment that appears to be tangent is tangent.
9
[ "images/train/348.png" ]
<image>Use rhombus XYZW with $m \angle W Y Z=53, V W=3$, $X V=2 a-2,$ and $Z V=\frac{5 a+1}{4}$ Find XW
5
[ "images/train/349.png" ]
<image>In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$. Find $m \widehat{A B}$
30
[ "images/train/350.png" ]
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
5
[ "images/train/351.png" ]
<image>Find z
25
[ "images/train/352.png" ]
<image>Find the area of the figure. Round to the nearest tenth if necessary.
54
[ "images/train/353.png" ]
<image>Find x
18
[ "images/train/354.png" ]
<image>Find x
6
[ "images/train/355.png" ]
<image>Quadrilateral $ABCD$ is a rhombus. If $m\angle DPC = 3x – 15$, find $x$.
35
[ "images/train/356.png" ]
<image>$∠6$ and $∠8$ are complementary, $m∠8 = 47$. Find the measure of $\angle 6$.
43
[ "images/train/357.png" ]
<image>Find $m \angle K$.
117
[ "images/train/358.png" ]
<image>Find $y$ if $m∠5 = 68$ and $m∠3 = 3y - 2$.
38
[ "images/train/359.png" ]
<image>Find x so that $GJ \parallel FK$. GF = 12, HG = 6, HJ = 8, JK = x - 4.
20
[ "images/train/360.png" ]
<image>Find $m \widehat{E D B}$ if $m \widehat{F E}=118, m \widehat{A B}=108$, $m \angle E G B=52,$ and $m \angle E F B=30$.
15
[ "images/train/361.png" ]
<image>Find $m\angle R$
150
[ "images/train/362.png" ]
<image>$\ln \odot K$, $ M N=16$ and $m \widehat{M N}=98$. Find the measure of $m \widehat{NJ}$. Round to the nearest hundredth.
131.00
[ "images/train/363.png" ]
<image>Find the perimeter of $\triangle C B H,$ if $\triangle C B H \sim \triangle F E H, A D E G$ is a parallelogram, $C H=7, F H=10$, $F E=11,$ and $E H=6$.
18.9
[ "images/train/364.png" ]
<image>Find x. Assume that segments that appear to be tangent are tangent.
9
[ "images/train/365.png" ]
<image>$m \angle 2=2 x, m \angle 3=x$ Find $m\angle 1$
30
[ "images/train/366.png" ]
<image>If $\overline{PR} \| \overline{KL}, KN=9, LN=16,$ and $PM=2KP$, find $ML$.
20
[ "images/train/367.png" ]
<image>Find $SW$.
16
[ "images/train/368.png" ]
<image>$\overline{GJ}$ is a diameter of $\odot K$. Find $m \widehat {GLH}$.
238
[ "images/train/369.png" ]
<image>If $ABCD$ is a kite, Find $m \angle C$
70
[ "images/train/370.png" ]
<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
13.2
[ "images/train/371.png" ]
<image>Triangle RST is circumscribed about the circle below. What is the perimeter of the triangle?
36
[ "images/train/372.png" ]
<image>Find $m \angle PQS$.
42
[ "images/train/373.png" ]
<image>Find x. Round to the nearest tenth if necessary.
2
[ "images/train/374.png" ]
<image>Find $x$ in the figure.
34
[ "images/train/375.png" ]
<image>Find y in the parallelogram
8
[ "images/train/376.png" ]
<image>Find the variable of $b$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
11.3
[ "images/train/377.png" ]
<image>Find y.
15
[ "images/train/378.png" ]
<image>Find x.
4 \sqrt { 3 }
[ "images/train/379.png" ]
<image>Find the area of the triangle. Round to the nearest hundredth.
23.39
[ "images/train/380.png" ]
<image>Find the perimeter of $▱ ABCD$.
28
[ "images/train/381.png" ]
<image>Solve for x in the figure.
4
[ "images/train/382.png" ]
<image>In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠15$.
55
[ "images/train/383.png" ]
<image>In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠7$.
58
[ "images/train/384.png" ]
<image>For trapezoid QRST, M and P are midpoints of the legs. If TS = 2x + 2, QR = 5x + 3, and PM = 13, find TS.
8
[ "images/train/385.png" ]
<image>Find the measure of $\angle R$
122
[ "images/train/386.png" ]
<image>Find the circumference of $\odot S$. Round to the nearest hundredth.
40.83
[ "images/train/387.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.
168.2
[ "images/train/388.png" ]
<image>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {GCF}$.
325
[ "images/train/389.png" ]
<image>Find the measure of $\angle 3$.
49
[ "images/train/390.png" ]
<image>Find $JK$.
24
[ "images/train/391.png" ]
<image>In the figure, $m∠4 = 104$, $m∠14 = 118$. Find the measure of $\angle 7$.
76
[ "images/train/392.png" ]
<image>Find x. Assume that segments that appear to be tangent are tangent.
13
[ "images/train/393.png" ]
<image>Find $x$.
71
[ "images/train/394.png" ]
<image>Find x.
\frac { 15 } { 2 } \sqrt { 3 }
[ "images/train/395.png" ]
<image>$\overline{QS}$ is a diameter of $\odot V$. Find $m \widehat {QRT}$.
255
[ "images/train/396.png" ]
<image>Find $BC$.
10
[ "images/train/397.png" ]
<image>Find x. Assume that segments that appear to be tangent are tangent.
18
[ "images/train/398.png" ]
<image>Find the measure of $\angle 1$ if $m∠DGF = 53$ and $m∠AGC = 40$.
37
[ "images/train/399.png" ]
<image>Find $KL$.
14