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?
A.) 90° B.) 180° C.) 240° D.) 270° E.) 400°
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In the figure below, the lengths of right triangle BAC are shown. Side BD bisects side AC. What is the length of side CD ?
A.) √3
B.) 2 C.) 3 D.) 2√5 E.) 4
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 ?
A.) 4.5
B.) 4 C.) 3.5 D.) 3 E.) 2√2
In the figure below, lines a and b are parallel, and lines c and d are parallel.
What is the measure of ∠x ?
A.) 75°
B.) 95° C.) 100° D..) 105° E.) 113°
The legs of a right triangle are 4 cm and x cm. The hypotenuse is (2x - 1) cm. What is x?
A.) 7/6 B.) 4/3 C.) 5/3 D.) 3 E.) 5 If a circle's area is 16π, what is the length, in centimeters, of its diameter?
A.) 2 B.) 4 C.) 8 D.) 16 E.) 32 |
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