In the figure below, the lengths of right triangle BAC are shown. Side BD bisects side AC. What is the length of side CD ?
In parallelogram ABCD, AC is a diagonal, the measure of ∠ABC is 40°, and the measure of ∠ACD is 57°. What is the
measure of ∠CAD?
The measures of two angles of a triangle are x and 4x. Which of these expressions represents the measure of the third angle?
A.) 180 + x + 4x
B.) 180 - x - 4x
C.) 180 - x + 4x
D.) 180 + x - 4x
In the figure below, M is the midpoint of segment RS. What is the area of ∆MOP ?
In the figure below, lines a and b are parallel, and lines c and d are parallel.
What is the measure of ∠x ?
The legs of a right triangle are 4 cm and x cm. The hypotenuse is (2x - 1) cm. What is x?
A restaurant occupying the top floor of a skyscraper rotates as diners enjoy the view. Ling and Sarah notice that they began their meal at 7:00 P.M. looking due north. At 7:45 P.M. they had rotated 180° to a view that was due south. At this rate, how many degrees will the restaurant rotate in 1 hour?
If a circle's area is 16π, what is the length, in centimeters, of its diameter?