Do these side lengths form a right triangle?: 7, 9, 15
No
200
Write the sine, cosine, and tangent ratios for angle C in the following triangle.
sin=30/34
cos=16/34
tan=30/16
200
A circle has a diameter of 36 inches. Find the area of the sector whose arc measures 200 degrees. Leave your answer in terms of pi.
180 pi
200
A pair of opposite sides in a parallelogram are 19 and 3x+1. What is x?
x=6
300
Which angle pairs are congruent and which angle pairs are supplementary? (with parallel lines)
Corresponding, alternate interior, alternate exterior, vertical are congruent.
Same-side interior angles are supplementary
300
Name all four triangle congruence theorems AND draw a picture illustrating each one.
SSS, SAS, ASA, AAS
300
In the following right triangle, find the missing side using one of the trig ratios.
x=8.9
300
A circle has a radius of 12 cm. Find the length of the arc whose measure is 75 degrees.
15.7 cm
300
In a parallelogram, one pair of opposite angles measure 75 degrees. What is the measure of the other pair of angles?
105 degrees
400
In the following picture, find x.
x=6
400
Three angles in a triangle are 125, 5x, and 6x. What is x?
x=5
400
A person standing 50 feet away from a building looking up to the top of the building. If the angle of elevation from the person to the top of the building is 42 degrees, how tall is the building?
45.02 feet
400
Assume the lines are tangent to the following circle. Find the missing angle.
55 degrees
400
The dimensions of a rectangle are 9.1 m, 9.1 m, 11.7 m, and 11.7 m. What is the area and perimeter of the rectangle?
A=106.47 meters squared
P= 41.6 meters
500
In the following picture, find the missing angle.
b=35 degrees
500
In the following right triangle, find the missing side.
x=15 feet
500
A helicopter is flying in a horizontal straight line towards the airport. If the height of the helicopter is 1,100 feet and the angle of depression from the helicopter to the airport is 25 degrees, how far is it from the airport?
2,602.8 feet
500
In the following picture, the circle is inscribed in the triangle. Find the perimeter of the triangle.
46.2
500
A trapezoid has bases 8.5 feet and 3.1 feet with a height of 3 feet. Find the area of the trapezoid.