In the figure below, all line segments that intersect are
perpendicular. Using only the segments and vertices in the figure, how
many distinct rectangles are there with areas less than the area of ADLI?
(Note: If 2 rectangles have all four vertices in common, then they are not distinct.)
(A)7
(B) 8
(C) 17
(D) 18
(E) 19
On an xy-graph, three corners of a parallelogram are located at (3, 3), (4, – 4), and (–2, –1). Which of the following points could be the remaining corner?
(A) (8, 0)(B) (8, –1)(C) (–1, 9)(D) (–3, 6)(E) (–5, 7)
Correct Answer: D
What is the median of the data given below?
18, 25, 19, 41, 23, 29, 35, 19
(A) 32 (B) 26 (C) 25 (D) 24 (E) 19
Correct Answer: D
Melissa attaches her dog's leash to a metal anchor in the grass so that the dog can roam only within a radius of 12 feet in any direction from the anchor. A map of the area accessible to the dog is shown below in the standard (x,y) coordinate plane, with the anchor at the origin and 1 coordinate unit representing 1 foot.
Which of the following is closest to the area, in square feet, the dog can roam?
（A）75 （B） 144 （C） 452 （D） 904 （E） 1,420
Correct Answer: C
More ACT Math Exam Questions
- 1
Rectangle ABCD lies in the standard (x,y) coordinate plane with corners at A(4,2), B(6,-1), C(1,-4), and D(-1,-1), and is represented by the 2 × 4 matrix
. ABCD is then translated, with the corners of the translated rectangle represented by the matrix 
. What is the value of n? - 2
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?
- 3
If
, what is the value of cos a? - 4
In the real numbers, which of the following is the domain of the function
? - 5Which of the following expressions is equivalent to the inequality 6x – 8 > 8x + 14?