In the figure shown below, bisects BAD, and bisects CAE What is the measure of CAD?
(A)30°
(B) 45°
(C) 60°
(D) 90°
(E) Cannot be determined from the given information
In the qualifying rounds for a race, Rusty and Dale drive their cars around a 6,000-foot oval track. Rusty and Dale each drive 8 laps in the qualifying rounds in lanes of identical length.
On day one of the qualifying rounds, Rusty and Dale start from the same point, but their cars are reversed and each drives opposite ways. Rusty drives at a constant speed that is 8 feet per second faster than Dale's constant speed. Rusty passes Dale for the first time in 150 seconds. Rusty drives at a constant rate of how many feet per second?
(A) 16 (B) 20 (C) 24 (D) 32 (E) 40
Correct Answer: C
Circle A has its center at point (-5,2) with a radius of 2, and circle B is represented by the equation (x + 4)2 + (y-- 2)2 = 9. Where is point (-2,2) located?
(F) Inside circle A only (G) Inside circle B only (H) Inside both circle A and circle B (J) Outside both circle A and circle B (K) Cannot be determined from given information
Correct Answer: G
For all nonzero real numbers a, b, and c, what is the value of a0 + b0 + c0?
(A) Undefined (B) a + b + c (C) 0 (D) 1 (E) 3
Correct Answer: E
More ACT Math Exam Questions
- 1If p and q are positive integers, and 6pq4 and 12p2q2 have a greatest common factor of 1,050, then which of the following is a possible value for the sum of p and q?
- 2 = ?
- 3
In the following figure, is a chord of the circle centered at O,with . If KL= 12 and MO= 6, what is the area of the circle?
- 4
The 8-sided figure below is divided into 12 congruent isosceles right triangles. The total area of the 12 triangles is 96 square centimeters. What is the perimeter, in centimeters, of the figure?
- 5
The coordinates of the vertices of MON are shown in the standard (x,y) coordinate plane below. Rectangle MPQR is shown shaded. Point P lies on , point Q lies on , and point R lies on .
What is the slope of MON?