What is the slope of the line determined by the equation ?
In ΔABC, shown below, the measure of b is 40°, the measure of c is 35°, and is 27 units long. Which one of the following is an expression of the length, in units, of ? (Note: The law of sines states that for any triangle, the ratio between the sine of an angle and the length of the side opposite that angle is the same for all of the interior angles in the triangle.)
（A） （B） （C） （D） （E）
Correct Answer: B
In the figure below, ABCD is a rectangle, AB = AE, and E, F, G, and H lie on AD. Of the angles BEA, BFA, BGA, BHA, and ∠BDA, which one has the greatest tangent?
(F) ∠BEA (G) ∠BFA (H) ∠BGA (J) ∠BHA (K) ∠BDA
Correct Answer: F
Damien played golf on each of the four days of his vacation. His scores on the first three days were 93, 92, and 89, and his average for the four days was 90. What was his score on the fourth day?
(F) 84(G) 85(H) 86(J) 87(K) 88
Correct Answer: H
More ACT Math Exam Questions
If a = 5 and b = -, which of the following expressions will be the greatest?
- 2In the figure below, is a line segment and all distances are given in inches. What is the ratio of the area of quadrilateral RBCS to the area of quadrilateral SCFT?
For all real values of a and b, the equation |a - b| = 5 can be interpreted as "the positive difference of a and b is 5." What is the positive difference between the 2 solutions for a?
Which of the following inequalities is equivalent to ?
Triangle ACE, shown in the figure below, is isosceles with base . B lies on and D lies on . Segments and bisect AEC and CAE respectively. Which one of the following angle congruences is necessarily true?