Home->ACT Math

In the following figure, line M and line N are parallel. Which of the answer choices does NOT necessarily add up to 180°?

(F) ∠a+ ∠b+ ∠f

(G) ∠a+ ∠d

(H) ∠b+ ∠e+ ∠f

(J) ∠d+ ∠e

(K) ∠e+ ∠g

In rectangle ABCD shown below, E is the midpoint of , and F is the midpoint of . Which of the following is the ratio of the area of quadrilateral AECF to the area of the entire rectangle?

（A）1:01 （B） 1:02 （C） 1:03 （D） 1:04 （E） 2:05

Correct Answer: B

At 3 p.m., the afternoon sun shines over a building and its rays hit the ground at a 34° angle. The building is 100 meters tall and is perpendicular to the ground. How long, to the nearest meter, is the building's shadow that is cast by the sun? (Note: sin 34° ≈ 0.56, cos 34° ≈ 0.83, tan 34° ≈ 0.67)

（A）56 （B） 67 （C） 83 （D） 120 （E） 148

Correct Answer: E

The slope of a line in the standard (x,y) coordinate plane is 4. What is the slope of a line perpendicular to that line?

(A) 4 (B) (C) - (D) -1 (E) -4

Correct Answer: C