Datasets:
hiyouga
/
rl-mixed-dataset

Dataset card Data Studio Files Community
1
images
list
problem
string
answer
string
[ "images/train/100.png" ]
<image>Find $x$ in the figure.
90
[ "images/train/101.png" ]
<image>A square with side length of $9$ inches is inscribed in $\odot J$. Find the exact circumference of $\odot J$.
9 \sqrt 2 \pi
[ "images/train/102.png" ]
<image>Find $x$.
3
[ "images/train/103.png" ]
<image>If QRST is a parallelogram, find $x$
5.4
[ "images/train/104.png" ]
<image>For trapezoid QRST, M and P are midpoints of the legs. If TS = 2x, PM = 20, and QR = 6x, find x.
5
[ "images/train/105.png" ]
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
80
[ "images/train/106.png" ]
<image>Find x.
14
[ "images/train/107.png" ]
<image>Find $m \widehat {PO}$.
112
[ "images/train/108.png" ]
<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
36
[ "images/train/109.png" ]
<image>Find $m\angle D$
117
[ "images/train/110.png" ]
<image>Points $P$, $Q$, and $R$ are the midpoints of $\overline{J K}$, $\overline{K L}$, and $\overline{J L}$, respectively. Find $x$ .
5.5
[ "images/train/111.png" ]
<image>Find $h$ in each triangle.
\frac { 15 \sqrt 2 } { 2 }
[ "images/train/112.png" ]
<image>Find $XY$.
7
[ "images/train/113.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/114.png" ]
<image>Find the scale factor from $W$ to $W'$.
0.75
[ "images/train/115.png" ]
<image>Find $U B$ if $\triangle R S T \sim \triangle U V W, \overline{T A}$ and $\overline{WB}$ are medians, $T A=8$, $R A=3, W B=3 x-6,$ and $U B=x+2$
36
[ "images/train/116.png" ]
<image>$UJ=9, VJ=3$, and $ZT=18$. Find $JT$.
6
[ "images/train/117.png" ]
<image>If $MNPQ \sim XYZW,$ find the perimeter of $XYZW$.
17
[ "images/train/118.png" ]
<image>Find the area of the figure.
64
[ "images/train/119.png" ]
<image>Find x
5 \sqrt { 2 }
[ "images/train/120.png" ]
<image>Find $m \angle 5$.
85
[ "images/train/121.png" ]
<image>Quadrilateral $WXZY$ is a rhombus. If $m \angle XZY=56$, find $m \angle YWZ$.
28
[ "images/train/122.png" ]
<image>Find the area of the figure in feet. Round to the nearest tenth, if necessary.
14.4
[ "images/train/123.png" ]
<image>Find $x$.
21
[ "images/train/124.png" ]
<image>In $\odot P, P D=10, P Q=10,$ and $Q E=20$, find PE
10 \sqrt { 5 }
[ "images/train/125.png" ]
<image>If $WXYZ$ is a kite, find $ZY$.
8 \sqrt { 10 }
[ "images/train/126.png" ]
<image>Find the area of the regular polygon. Round to the nearest tenth.
15.6
[ "images/train/127.png" ]
<image>If $m \angle AFB = 8x - 6$ and $m \angle BFC = 14x + 8$, find the value of $x$ so that $\angle AFC$ is a right angle.
4
[ "images/train/128.png" ]
<image>Find $x$.
170
[ "images/train/129.png" ]
<image>Find $x$.
11.2
[ "images/train/130.png" ]
<image>Find the area of the figure. Round to the nearest hundredth, if necessary.
4
[ "images/train/131.png" ]
<image>Find the area of the figure. Round to the nearest tenth if necessary.
50
[ "images/train/132.png" ]
<image>Find x
24
[ "images/train/133.png" ]
<image>Find x.
\frac { 13 \sqrt { 2 } } { 2 }
[ "images/train/134.png" ]
<image>Find the measure of $\angle 1$.
56
[ "images/train/135.png" ]
<image>Find $y$.
3
[ "images/train/136.png" ]
<image>Use parallelogram ABCD to find $m\angle BCD$
52
[ "images/train/137.png" ]
<image>In $\odot A, m \angle E A D=42$. Find $m \widehat{C D}$
138
[ "images/train/138.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 { \sqrt { 3 } } { 2 }
[ "images/train/139.png" ]
<image>Find x.
4 \sqrt { 13 }
[ "images/train/140.png" ]
<image>Find $x$. (Hint: Draw an auxiliary line.)
130
[ "images/train/141.png" ]
<image>Find z
2 \sqrt { 6 }
[ "images/train/142.png" ]
<image>In $\odot F$, find $m \widehat {AED}$.
153
[ "images/train/143.png" ]
<image>Find $y$ in the figure.
26.3
[ "images/train/144.png" ]
<image>For trapezoid $ABCD$, $S$ and $T$ are midpoints of the legs. If $AB=3x$, $ST=15$, and $CD=9x$, find $x$.
2.5
[ "images/train/145.png" ]
<image>If $BT = 5$ and $TC = 8$, find $CD$.
\sqrt { 89 }
[ "images/train/146.png" ]
<image>If $QR=2$, $XW=12$, $QW=15$, and $ST=5$, find $RS$.
8
[ "images/train/147.png" ]
<image>In $\odot W$, $\widehat {RS} \cong \widehat {TV}$. Find $RS$.
11
[ "images/train/148.png" ]
<image>In the figure, $m∠8 = 96$ and $m∠12 = 42$. Find the measure of $\angle 9$.
84
[ "images/train/149.png" ]
<image>$\overline{JH}, \overline{JP},$ and $\overline{PH}$ are midsegments of $\triangle KLM$. Find $x$.
50
[ "images/train/150.png" ]
<image>Find y
\frac { 5 } { 3 }
[ "images/train/151.png" ]
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
14
[ "images/train/152.png" ]
<image>If $c=8,$ find $b$
4 \sqrt { 3 }
[ "images/train/153.png" ]
<image>Find $m\angle T$
58
[ "images/train/154.png" ]
<image>Find the area of the shaded region. Round to the nearest tenth.
68.7
[ "images/train/155.png" ]
<image>Segments $\overline{AD}$ and $\overline{CE}$ are medians of $\triangle ACB, \overline{AD} \perp \overline{CE}, AB=10$, and $CE=9$. Find $CA$
\sqrt { 52 }
[ "images/train/156.png" ]
<image>In $\triangle RST$, $Z$ is the centroid and $RZ=18$. Find $ZV$.
9
[ "images/train/157.png" ]
<image>Find x.
45
[ "images/train/158.png" ]
<image>In $\odot B$, the diameter is 20 units long, and $m \angle A C E=45$ Find $x$
\sqrt { 2 }
[ "images/train/159.png" ]
<image>Find $x$.
145
[ "images/train/160.png" ]
<image>Find $m \angle T$.
135
[ "images/train/161.png" ]
<image>Find $x$.
7
[ "images/train/162.png" ]
<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 5$.
64
[ "images/train/163.png" ]
<image>Triangle $CDE$ has an area of 336 square inches. Find $CE$.
28
[ "images/train/164.png" ]
<image>Find $x$ in the figure.
16
[ "images/train/165.png" ]
<image>Find the area of the shaded region. Round to the nearest tenth.
449.0
[ "images/train/166.png" ]
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
259.9
[ "images/train/167.png" ]
<image>Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26. Find the perimeter of trapezoid ABCD
73.2
[ "images/train/168.png" ]
<image>In $\odot B$, $m \angle LBM = 3x$ and $m \angle LBQ = 4x + 61$. What is the measure of $\angle PBQ$?
51
[ "images/train/169.png" ]
<image>Find x. Round the angle measure to the nearest degree.
40
[ "images/train/170.png" ]
<image>Find $m \angle 1$.
108
[ "images/train/171.png" ]
<image>Find x
22
[ "images/train/172.png" ]
<image>If $m\angle ZYW = 2x - 7$ and $m \angle WYX = 2x + 5$, find $m\angle ZYW$.
39
[ "images/train/173.png" ]
<image>Find $m\angle B$
90
[ "images/train/174.png" ]
<image>Find $x$ in each figure.
31
[ "images/train/175.png" ]
<image>Find $m \angle 6$.
45
[ "images/train/176.png" ]
<image>Find x
\frac { 17 \sqrt { 2 } } { 2 }
[ "images/train/177.png" ]
<image>If $FK = 3x - 1$, $KG = 4y + 3$, $JK = 6y - 2$, and $KH = 2x + 3$, find $x$ so that the quadrilateral is a parallelogram.
4
[ "images/train/178.png" ]
<image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$ Find $m\widehat{A B}$
80
[ "images/train/179.png" ]
<image>Find $m \angle Q$
70
[ "images/train/180.png" ]
<image>Triangle $WXY$ has an area of 248 square inches. Find the length of the base.
31
[ "images/train/181.png" ]
<image>Find $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
5.6
[ "images/train/182.png" ]
<image>Find $m \angle 4$.
125
[ "images/train/183.png" ]
<image>If WXYZ is a kite, find $YZ$
\sqrt { 89 }
[ "images/train/184.png" ]
<image>Find x. Round to the nearest tenth.
5.2
[ "images/train/185.png" ]
<image>Find the measure of $\angle B$
46
[ "images/train/186.png" ]
<image>Find $m \angle A G E$
120
[ "images/train/187.png" ]
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
665.1
[ "images/train/188.png" ]
<image>$a=14, b=48,$ and $c=50$, find $tanB$
3.43
[ "images/train/189.png" ]
<image>Find x
22.5
[ "images/train/190.png" ]
<image>Find $x$.
6
[ "images/train/191.png" ]
<image>Find $x$ so that the quadrilateral is a parallelogram
11
[ "images/train/192.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 XZ
8
[ "images/train/193.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 $m \angle X Y W$
53
[ "images/train/194.png" ]
<image>In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 7$.
49
[ "images/train/195.png" ]
<image>Find x
8 \sqrt { 3 }
[ "images/train/196.png" ]
<image>Find $x$.
25
[ "images/train/197.png" ]
<image>In the figure, $ \triangle ABC$ is isosceles, $ \triangle DCE$ is equilateral, and $ \triangle FCG$ is isosceles. Find the measures of the $\angle 3$ at vertex $C$.
26
[ "images/train/198.png" ]
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
103.9
[ "images/train/199.png" ]
<image>Find y.
\frac { 3 } { 2 }