## If 5k = 9m 18, then m =

(A) 5k + 18

(B) (5k+18) / 9

(C) 9 + 5k

(D) (5k + 9 ) / 9

(E) 9k + 18

The length of the hypotenuse of the right triangle figured below is 16, and the length of one of its legs is 12. What is the cosine of angle θ?

（A） （B） （C） （D） （E）

**Correct Answer: A**

Which of the following represents the values of x that are solutions for the inequality (x - 1)(4 - x) < 0?

（A） （B） x < 1 or x > 4 （C） （D） -4 < x < 1 （E）

**Correct Answer: B**

In the figure shown below, points A, B, C, and D are collinear, and distances marked are in feet. Rectangle ADEG has an area of 48 square feet. What is the area, in square feet, of the trapezoid BCEF?

（A）16 （B） 20 （C） 26 （D） 36 （E） 58

Quadrilateral FGHJ is shown below in the standard (x,y) coordinate plane. For this quadrilateral, = 10, = 6, = , and = 12.

**Correct Answer: C**

### More ACT Math Exam Questions

- 1In the standard (x,y) coordinate plane, line segment has end points C(-3,5) and D(11,-7). What is the midpoint of ?
- 2Natalie starts at the finish line of a straight 1,300-foot track and runs to the left toward the starting line at a constant rate of 12 feet per second. Jonathon starts 150 feet to the right of the starting line and runs to the right toward the finish line at a constant rate of 9 feet per second. To the nearest tenth of a second, after how many seconds will Natalie and Jonathon be at the same point on the track?
- 3
What is the degree measure of an angle that measures radians?

- 4Which of the following is equal to ?
- 5The circle shown below has a radius of 5 meters, and the length of chord XY is 8 meters. If C marks the center of the circle, what is the length, in meters, of segment CZ?