images images listlengths 1 1 | problem stringlengths 23 244 | answer stringlengths 1 34 |
|---|---|---|
<image>Question: Find the measure of $\angle 1$. | 70 | |
<image>Question: Find $x$. $A = 78$ cm$^2$. | 8.0 | |
<image>Question: Find x. | 5 \sqrt { 3 } | |
<image>Question: Find $x$ so that the quadrilateral is a parallelogram | 2 | |
<image>Question: In $\odot C$, $m \angle HCG=2x$ and $m \angle HCD=6x+28$, find $m \widehat {HD}$. | 142 | |
<image>Question: 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 | |
<image>Question: Find the measure of $XT$. | 7 | |
<image>Question: In $\odot A, m \angle E A D=42$. Find $m \widehat{E D B}$ | 222 | |
<image>Question: $m \widehat{J H}=114$ Find $m\angle 1$ | 33 | |
<image>Question: Find the value of the variable w. | 8 | |
<image>Question: Find y. | 14 | |
<image>Question: Given $a ∥ b$, find $m∠1$. | 79 | |
<image>Question: 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 | |
<image>Question: 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 | |
<image>Question: Find $x$. | 8 | |
<image>Question: Find $m \angle A G D$ | 90 | |
<image>Question: Find the measure of $∠T$ to the nearest tenth. | 64.6 | |
<image>Question: Find the perimeter of the triangle. Round to the nearest tenth if necessary. | 80 | |
<image>Question: 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 | |
<image>Question: Find the area of the figure. Round to the nearest tenth. | 12 | |
<image>Question: Find $m \angle 2$. | 39 | |
<image>Question: Find the area of the parallelogram. Round to the nearest tenth if necessary. | 153 | |
<image>Question: Find $m\angle X$ | 36 | |
<image>Question: 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 | |
<image>Question: Find the area of the figure. | 150 | |
<image>Question: 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 | |
<image>Question: In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 8$. | 116 | |
<image>Question: Each pair of polygons is similar. Find AB | \frac { 16 } { 3 } | |
<image>Question: Find $y$. | 8 | |
<image>Question: The diameters of $\odot A, \odot B,$ and $\odot C$ are $8$ inches, $18$ inches, and $11$ inches, respectively. Find $FB$. | 5 | |
<image>Question: Find y so that $e || f$. | 20 | |
<image>Question: In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$.
Find $m \widehat{B C D}$ | 150 | |
<image>Question: In the figure, $m∠1 = 123$. Find the measure of $\angle 11$. | 123 | |
<image>Question: MNQR is a rectangle. If $N R=2 x+10$ and $N P=2 x-30$
find $M P$ | 40 | |
<image>Question: Find x. Round side measures to the nearest tenth. | 4.1 | |
<image>Question: Find the measure of the altitude drawn to the hypotenuse. | \sqrt { 26 } | |
<image>Question: $\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {ACF}$. | 270 | |
<image>Question: Find $m \angle ACB$. | 136 | |
<image>Question: Find y. | 3 \sqrt { 13 } | |
<image>Question: Find the area of the figure. Round to the nearest tenth if necessary. | 39.4 | |
<image>Question: Find the measure of $\angle 6$. | 140 | |
<image>Question: What is the value of x in the figure? | 26 | |
<image>Question: 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 | |
<image>Question: If $EN=13$, what is the diameter of the circle? | 26 | |
<image>Question: In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 3$. | 116 | |
<image>Question: Find the area of the trapezoid. | 272 | |
<image>Question: In right triangle $ABC$ shown below, what is the measure of $∠ A$ to the nearest tenth of a degree? | 38.9 | |
<image>Question: Find x. Assume that any segment that appears to be tangent is tangent. | 9 | |
<image>Question: 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 | |
<image>Question: In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$.
Find $m \widehat{A B}$ | 30 | |
<image>Question: Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent. | 5 | |
<image>Question: Find z | 25 | |
<image>Question: Find the area of the figure. Round to the nearest tenth if necessary. | 54 | |
<image>Question: Find x | 18 | |
<image>Question: Find x | 6 | |
<image>Question: Quadrilateral $ABCD$ is a rhombus. If $m\angle DPC = 3x – 15$, find $x$. | 35 | |
<image>Question: $∠6$ and $∠8$ are complementary, $m∠8 = 47$. Find the measure of $\angle 6$. | 43 | |
<image>Question: Find $m \angle K$. | 117 | |
<image>Question: Find $y$ if $m∠5 = 68$ and $m∠3 = 3y - 2$. | 38 | |
<image>Question: Find x so that $GJ \parallel FK$. GF = 12, HG = 6, HJ = 8, JK = x - 4. | 20 | |
<image>Question: 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 | |
<image>Question: Find $m\angle R$ | 150 | |
<image>Question: $\ln \odot K$, $ M N=16$ and $m \widehat{M N}=98$. Find the measure of $m \widehat{NJ}$. Round to the nearest hundredth. | 131.00 | |
<image>Question: 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 | |
<image>Question: Find x. Assume that segments that appear to be tangent are tangent. | 9 | |
<image>Question: $m \angle 2=2 x, m \angle 3=x$ Find $m\angle 1$ | 30 | |
<image>Question: If $\overline{PR} \| \overline{KL}, KN=9, LN=16,$ and $PM=2KP$, find $ML$. | 20 | |
<image>Question: Find $SW$. | 16 | |
<image>Question: $\overline{GJ}$ is a diameter of $\odot K$. Find $m \widehat {GLH}$. | 238 | |
<image>Question: If $ABCD$ is a kite, Find $m \angle C$ | 70 | |
<image>Question: Find the perimeter of the triangle. Round to the nearest tenth if necessary. | 13.2 | |
<image>Question: Triangle RST is circumscribed about the circle below. What is the perimeter of the triangle? | 36 | |
<image>Question: Find $m \angle PQS$. | 42 | |
<image>Question: Find x. Round to the nearest tenth if necessary. | 2 | |
<image>Question: Find $x$ in the figure. | 34 | |
<image>Question: Find y in the parallelogram | 8 | |
<image>Question: Find the variable of $b$ to the nearest tenth. Assume that segments that appear to be tangent are tangent. | 11.3 | |
<image>Question: Find y. | 15 | |
<image>Question: Find x. | 4 \sqrt { 3 } | |
<image>Question: Find the area of the triangle. Round to the nearest hundredth. | 23.39 | |
<image>Question: Find the perimeter of $▱ ABCD$. | 28 | |
<image>Question: Solve for x in the figure. | 4 | |
<image>Question: In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠15$. | 55 | |
<image>Question: In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠7$. | 58 | |
<image>Question: For trapezoid QRST, M and P are midpoints of the legs. If TS = 2x + 2, QR = 5x + 3, and PM = 13, find TS. | 8 | |
<image>Question: Find the measure of $\angle R$ | 122 | |
<image>Question: Find the circumference of $\odot S$. Round to the nearest hundredth. | 40.83 | |
<image>Question: 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 | |
<image>Question: $\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {GCF}$. | 325 | |
<image>Question: Find the measure of $\angle 3$. | 49 | |
<image>Question: Find $JK$. | 24 | |
<image>Question: In the figure, $m∠4 = 104$, $m∠14 = 118$. Find the measure of $\angle 7$. | 76 | |
<image>Question: Find x. Assume that segments that appear to be tangent are tangent. | 13 | |
<image>Question: Find $x$. | 71 | |
<image>Question: Find x. | \frac { 15 } { 2 } \sqrt { 3 } | |
<image>Question: $\overline{QS}$ is a diameter of $\odot V$. Find $m \widehat {QRT}$. | 255 | |
<image>Question: Find $BC$. | 10 | |
<image>Question: Find x. Assume that segments that appear to be tangent are tangent. | 18 | |
<image>Question: Find the measure of $\angle 1$ if $m∠DGF = 53$ and $m∠AGC = 40$. | 37 | |
<image>Question: Find $KL$. | 14 |
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