images
images listlengths 1
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| problem
stringlengths 16
729
| answer
stringlengths 8
30
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|---|---|---|
<image>Question: Find m \angle 3.
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\boxed{51}
|
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<image>Question: J H is a midsegment of \triangle K L M. Find x.
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\boxed{11}
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<image>Question: Find the area of the figure. Round to the nearest tenth if necessary.
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\boxed{310}
|
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<image>Question: A E is a tangent. If A D = 12 and F E = 18, how long is A E to the nearest tenth unit?
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\boxed{27.5}
|
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<image>Question: If b = 3, find c.
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\boxed{2\sqrt{3}}
|
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<image>Question: Find the exact circumference of the circle.
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\boxed{10\pi\sqrt{2}}
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<image>Question: Find x.
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\boxed{40}
|
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<image>Question: Polygon A B C D \sim polygon A E F G, m \angle A G F = 108, G F = 14, A D = 12, D G = 4.5, E F = 8, and A B = 26. Find scale factor of trapezoid A B C D to trapezoid A E F G.
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\boxed{1.6}
|
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<image>Question: Find the exact circumference of the circle.
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\boxed{8\pi}
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<image>Question: Find the measure of \angle 3.
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\boxed{49}
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<image>Question: If Q R \parallel X Y, X Q \cong Q Z, and Q R = 9.5 units, what is the length of X Y.
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\boxed{19}
|
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<image>Question: Express the ratio of \tan A as a decimal to the nearest hundredth.
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\boxed{0.42}
|
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<image>Question: Find R T.
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\boxed{24}
|
|
<image>Question: Each pair of polygons is similar. Find x.
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\boxed{10}
|
|
<image>Question: Find the value of x in the diagram.
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\boxed{52}
|
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<image>Question: For trapezoid A B C D, S and T are midpoints of the legs. If A B = 3 x, S T = 15, and C D = 9 x, find x.
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\boxed{2.5}
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<image>Question: Find x.
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\boxed{\frac{\sqrt{10}}{5}}
|
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<image>Question: In the figure, F J \cong F H and G F \cong G H. If m \angle G H J = 152 and m \angle G = 32, find m \angle J F H.
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\boxed{24}
|
|
<image>Question: Find y so that the quadrilateral is a parallelogram.
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\boxed{7}
|
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<image>Question: Each pair of polygons is similar. Find y.
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\boxed{14}
|
|
<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.
|
\boxed{4.1}
|
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<image>Question: Find x. Assume that segments that appear to be tangent are tangent.
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\boxed{9.6}
|
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<image>Question: Triangle J K L is circumscribed about \odot R. Find the perimeter of \triangle J K L.
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\boxed{52}
|
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<image>Question: If m \angle A E D = 95 and m \widehat A D = 120, what is m \angle B A C?
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\boxed{35}
|
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<image>Question: Find the measure of the altitude drawn to the hypotenuse.
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\boxed{12}
|
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<image>Question: Find x. Round to the nearest degree.
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\boxed{122}
|
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<image>Question: Find the base of the parallelogram given its area with 100 square units.
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\boxed{20}
|
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<image>Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.
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\boxed{727.5}
|
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<image>Question: Find x.
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\boxed{\frac{17\sqrt{2}}{2}}
|
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<image>Question: m \angle 19 = 100 + 20 x, m \angle 20 = 20 x. Find the measure of \angle 19.
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\boxed{140}
|
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<image>Question: If K H is parallel to J I, find the measure of \angle 2.
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\boxed{54}
|
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<image>Question: For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure.
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\boxed{\frac{6}{5}}
|
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<image>Question: In the figure, Q R \parallel T S, Q T \parallel R S, and m \angle 1 = 131. Find the measure of \angle 6.
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\boxed{131}
|
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<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 and A E is equal to 4 \sqrt { 3 }, then what is the area of square A B C D?
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\boxed{64}
|
|
<image>Question: A D and C G are diameters of \odot B. Find m \widehat G C F.
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\boxed{325}
|
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<image>Question: Find y so that B E and A D are perpendicular.
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\boxed{8.3}
|
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<image>Question: Find y.
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\boxed{6\sqrt{3}}
|
|
<image>Question: Use parallelogram to, find a.
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\boxed{2}
|
|
<image>Question: Suppose B D = 12 millimeters. Find the radius of the circle.
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\boxed{6}
|
|
<image>Question: In the figure, m \angle 11 = 62 and m \angle 14 = 38. Find the measure of \angle 12.
|
\boxed{118}
|
|
<image>Question: J is the incenter of \angle A B C. Find J F.
|
\boxed{9}
|
|
<image>Question: Find the area of the triangle. Round to the nearest tenth if necessary.
|
\boxed{96}
|
|
<image>Question: Quadrilateral D E F G is a rectangle. If D E = 14 + 2 x and G F = 4(x - 3) + 6, find G F.
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\boxed{34}
|
|
<image>Question: Find y.
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\boxed{\frac{2}{3}\sqrt{5}}
|
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<image>Question: In \odot F, G K = 14 and m \widehat G H K = 142. Find m \widehat K M.
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\boxed{109}
|
|
<image>Question: Find m \angle C.
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\boxed{127}
|
|
<image>Question: Find R S.
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\boxed{31}
|
|
<image>Question: Find C D.
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\boxed{4}
|
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<image>Question: If T R = 8, L R = 3, and R W = 6, find W S.
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\boxed{10}
|
|
<image>Question: Find x so that G J \parallel F K. G F = 12, H G = 6, H J = 8, J K = x - 4.
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\boxed{20}
|
|
<image>Question: If J, P, and L are the midpoints of K H, H M and M K, respectively. Find x.
|
\boxed{4.75}
|
|
<image>Question: Find x.
|
\boxed{102}
|
|
<image>Question: Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
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\boxed{5}
|
|
<image>Question: Use parallelogram A B C D to find y.
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\boxed{11}
|
|
<image>Question: If P R \parallel W X, W X = 10, X Y = 6, W Y = 8, R Y = 5, and P S = 3, find S Y.
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\boxed{4}
|
|
<image>Question: J K L M is a rectangle. M L P R is a rhombus. \angle J M K \cong \angle R M P, m \angle J M K = 55 and m \angle M R P = 70. Find m \angle M P R.
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\boxed{55}
|
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<image>Question: Find \angle V.
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\boxed{46}
|
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<image>Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.
|
\boxed{480}
|
|
<image>Question: Find x.
|
\boxed{3\sqrt{5}}
|
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<image>Question: find \tan R.
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\boxed{\frac{4}{3}}
|
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<image>Question: Find m \angle J.
|
\boxed{112}
|
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<image>Question: In the figure, J M \cong P M and M L \cong P L. If m \angle P L J = 34, find m \angle J P M.
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\boxed{36.5}
|
|
<image>Question: Q S is a diameter of \odot V. Find m \widehat Q R T.
|
\boxed{255}
|
|
<image>Question: A C D F \sim V W Y Z. Find y.
|
\boxed{3}
|
|
<image>Question: Use parallelogram to, find y.
|
\boxed{17}
|
|
<image>Question: Find m \widehat R Q.
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\boxed{28}
|
|
<image>Question: \triangle D F G and \triangle F G H are isosceles, m \angle F D H = 28 and D G \cong F G \cong F H. Find the measure of \angle G F H.
|
\boxed{68}
|
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<image>Question: Find m \angle M.
|
\boxed{96}
|
|
<image>Question: Find x.
|
\boxed{9\sqrt{2}}
|
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<image>Question: Find J N if \triangle J M N is an isosceles triangle with J M \cong M N.
|
\boxed{2}
|
|
<image>Question: Find x.
|
\boxed{4\sqrt{3}}
|
|
<image>Question: Use parallelogram N Q R M to find w.
|
\boxed{12}
|
|
<image>Question: In the figure, m \angle 3 = 43. Find the measure of \angle 13.
|
\boxed{43}
|
|
<image>Question: Find m \angle 3.
|
\boxed{26}
|
|
<image>Question: Find the area of the rhombus.
|
\boxed{60}
|
|
<image>Question: Find the perimeter of the triangle.
|
\boxed{71.7}
|
|
<image>Question: Find x.
|
\boxed{\frac{39\sqrt{2}}{2}}
|
|
<image>Question: The lengths of the bases of an isosceles trapezoid are shown below. If the perimeter is 74 meters, what is its area?
|
\boxed{162}
|
|
<image>Question: Quadrilateral A B C D is a rectangle. m \angle 2 = 40. Find m \angle 7.
|
\boxed{40}
|
|
<image>Question: m is the perpendicular bisector of X Z, W Z = 4 a - 15 and W Z = a + 12. Find W X.
|
\boxed{21}
|
|
<image>Question: Find the area of the composite figure. Round to the nearest tenth.
|
\boxed{357.0}
|
|
<image>Question: Assume that the segment is tangent, find the value of x.
|
\boxed{3}
|
|
<image>Question: A square with 5 - centimeter sides is inscribed in a circle. What is the circumference of the circle? Round your answer to the nearest tenth of a centimeter.
|
\boxed{22.2}
|
|
<image>Question: Find a.
|
\boxed{15}
|
|
<image>Question: Find the length of F G.
|
\boxed{39}
|
|
<image>Question: In the figure, m \angle 11 = 62 and m \angle 14 = 38. Find the measure of \angle 8.
|
\boxed{62}
|
|
<image>Question: Quadrilateral A B C D is inscribed in \odot Z such that m \angle B Z A = 104, m \widehat C B = 94, and A B \parallel D C. Find m \widehat A D C.
|
\boxed{162}
|
|
<image>Question: W X Y Z is a square. If W T = 3, find m \angle W T Z.
|
\boxed{90}
|
|
<image>Question: In the figure, m \angle 1 = 58, m \angle 2 = 47, and m \angle 3 = 26. Find the measure of \angle 7.
|
\boxed{58}
|
|
<image>Question: Use the Pythagorean Theorem to find the length of the hypotenuse of the right triangle.
|
\boxed{5}
|
|
<image>Question: Find y.
|
\boxed{73.5}
|
|
<image>Question: Find J L.
|
\boxed{12}
|
|
<image>Question: In the figure, Q R \parallel T S, Q T \parallel R S, and m \angle 1 = 131. Find the measure of \angle 2.
|
\boxed{49}
|
|
<image>Question: Find the perimeter of \triangle P Q R, if \triangle P Q M \sim \triangle P R Q.
|
\boxed{78}
|
|
<image>Question: Find \angle 6.
|
\boxed{123}
|
|
<image>Question: Find the measure of \angle 1.
|
\boxed{56}
|
|
<image>Question: Find x. Round the side measure to the nearest tenth.
|
\boxed{50.6}
|
|
<image>Question: Find x. Assume that segments that appear to be tangent are tangent.
|
\boxed{18}
|
|
<image>Question: Find x.
|
\boxed{\sqrt{15}}
|
|
<image>Question: Use rectangle L M N P, parallelogram L K M J to solve the problem. If m \angle P L K = 110, find m \angle L K M.
|
\boxed{140}
|
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