In the figure below, the circle with center O is tangent to 
, 
, 
, and 
. The measure of angle 
BDE is 75° and the measure of DEA is 105°.
The lines in which of the following pairs of lines are necessarily parallel?
I. 
and
II. and
III. and
(F) I only
(G) II only
(H) III only
(J) I and II only
(K) I, II, and III
The table below details a recent census report about the commuting habits of U.S. workers age 16 or over for the years 2004, 2005, and 2006.
To the nearest percent, what percent of all U.S. workers age 16 or over in 2004 was female?
(F) 50% (G) 48% (H) 46% (J) 44% (K) 15%
Correct Answer: H
What is the slope of the line given by the equation 8 = 3y - 5x?
(A) -5
(B) -
(C) -
(D)
(E)
Correct Answer: E
Given that m and n are parallel lines, T is a transversal crossing both m and n, and m 
b = 100°, what is the measure of e?
（A）40° （B） 50° （C） 80° （D） 100° （E） 120°
Correct Answer: C
More ACT Math Exam Questions
- 1The membership fees for WebFilms consist of a monthly charge of $14 and a one-time new-member fee of $16. Sherwood made a credit card payment of $100 to pay his WebFilms fees for a certain number of months, including the new-member fee. How many months of membership did Sherwood include in his credit card payment?
- 2For all real numbers a, b, and c such that a < b and c > 0, which of the following inequalities, if any, must be true?
- 3Given that a = (3, 2) and b = (15, 8) in the standard (x, y) coordinate plane, what is the distance from a to b?
- 4In the figure below,
and 
bisect each other at e. The measure of 
CAE is 80° and the measure of BDE is 60°. What is the measure of CEA?
- 5Kaylee is planning to purchase a car. She will need to borrow some of
the money and has a chart, shown below, that will help her to
approximate her monthly payment. The chart gives the approximate monthly
payment per $1,000 borrowed.
A
local dealership is having an end-of-the-modelyear clearance sale and
is offering 5% annual interest on new-car loans for 36, 48, or 60
months. The maximum amount that Kaylee can budget for her monthly car
payment is $300. Of the following loan amounts, which one represents the
maximum amount that Kaylee can borrow at 5% annual interest while
staying within her budget?