In the diagram below, ABC is isosceles and BCD is equilateral. = and the measure of ABC is half the measure of BAC. What is the measure of ABD?

(F) 36°

(G) 60°

(H) 72°

(J) 96°

(K) 150°

The Correct Answer

Explanation

If n = 10, then which of the following represents 552?

（A）5n + 2
（B） 5n^{2} + 2
（C） 5n^{2} + 5n + 2
（D） 5n^{3} + 5n + 2
（E） 5n^{4} + 5n + 2

**Correct Answer: C**

The area of the trapezoid below is 24 square inches, the altitude is 3 inches, and the length of one base is 5 inches. What is the length, b, of the other base, in inches?

（A）3 （B） 8 （C） 11 （D） 13 （E） 16

**Correct Answer: C**

If

(F) (G) (H) (J) (K)

**Correct Answer: J**

### More ACT Math Exam Questions

- 1If function f is defined by f(x) = -2x
^{3}, then what is the value of f(f(1))? - 2Point X is located at -15 on the real number line. If point Y is located at -11, what is the midpoint of line segment XY?
- 3Doris and Clyde volunteered to help paint their friend's apartment. Doris used gallons of paint and Clyde used gallons. If 5 gallons of paint were purchased, how many gallons were left?
- 4If the function f satisfies the equation f(x + y) = f(x) + f(y) for every pair of real numbers x and y, what is (are) the possible value(s) of f(1)?
- 5Antoine bought a new electric guitar that cost $588.60 after 9% sales tax was added. What was the price of the guitar without tax?