A right triangle has side lengths of 12 inches and 5 inches. What is the length of the hypotenuse, in inches?
13
Two angles are complementary. If m∠A is twice the sum of m∠B plus 15°, how many degrees is m∠B?
20 degrees
How many degrees is the sum of the measures of the interior angles of a regular polygon with 20 sides?
3,240 degrees
The three side lengths of four triangles are given. Which triangle is a right triangle?
Triangle 1: 10, 265, 14
Triangle 2: 6, 8, 10
Triangle 3: 4, 14, 15
Triangle 4: 9, 2140, 14
Triangle 2
In the figure, m∠1 = 56.2°, m∠2 = 68.7° and m∠4 = 124.9°. What is m∠3, in degrees?
55.1 degrees
How many degrees is the sum of the measures of the interior angles of a regular polygon with 14 sides?
2,160 degrees
Maliki is building a ramp with a base of 4 feet and a vertical height of 2 feet. What is the length of the ramp? Round to the nearest tenth.
4.47 feet
What is the measure of ∠1, interior angle, when the exterior angle is 112.6 degrees?
A m∠1 = 58.2°
B m∠1 = 67.4°
C m∠1 = 75.5°
D m∠1 = 104.5°
67.4 degrees
Find the number of degrees for the sum of the interior angles of a Hendecagon (11-sided figure polygon).
1,620 degrees
A triangular bookshelf has a base of 10 inches, 11 inches, and 15 inches. Will the bookshelf fit in the corner of a square living room? Explain.
No. It's not a right triangle.
Two angles lie along a straight line. If m∠A is four times the sum of m∠B plus 12.5°, how many degrees is m∠B?
65 degrees
What polygon has interior angle measure of 135 degrees?
Octagon
What are opposite angles with equal measure called?
What are vertical angles?
Calvin’s house is located at (0, 0) on a coordinate plane. The school is 3 miles directly south of his house. After school, he takes a bus 2 miles directly west to the sports complex. How many miles long is a straight line between Calvin’s house and the sports complex? Round to the nearest tenth.
3.6 miles
In the figure, m∠1 = (5x + 4)°, m∠2 = (6x - 6)° and m∠4 = (10x + 12)°. What is m∠4, exterior angle, in degrees?
152 degrees
If each angle of a dodecagon is 23x-12, what is the value of x?
x=6