Buy Preparing for Higher Math Geometry

Buy Preparing for Higher Math Geometry
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Buy Preparing for Higher Math Geometry
In a track and field competition, a particular track is designed according to —
the figure below. The inner dimensions of the track have two “straights” of
84 meters joined by two semicircles, each with a radius of 37 meters. For a —
6-lane track, the outer semicircle has a radius of 44 meters.
| 84m
37m
386. What is the approximate width of a single lane of the track?
(A) 1.0m
(is) ewes te
(Gr 15 in
(Dy20./ an
(E) 7.0m
siesta ci
ANIONS RS Y ANE MEEN CNNSI TAT :
> at
122
388.
389.
> McGraw-Hill Education 500 ACT Math Questions
The track itself (shown in the figure with gray) is paved with asphalt, at a
cost of $20 per square meter. The inner part of the track will be sodded
with grass, which costs $4 per square meter. What is the total cost for the
sod and the asphalt, rounded to the nearest thousand?
(A) $45,000
(B) $82,000
(C) $91,000 (D) $101,000 (E)° $312,000
Buy Preparing for Higher Math Geometry
If the area of the square ABCD in the following figure is 16, what is the
value of tan x?
B Cc
(Siel
(Dy?
(E) 4/2
In the standard (x, y) coordinate plane, what are the coordinates of the
midpoint of the line segment connecting (2, 7) and (5, 7)?
(A) 6,7)
(BT Da)
(C) (7, 14)
(D) (3, 0)
(E) 6, 2)
390.
391.
392.
Geometry ¢ 123
In the standard (x, y) coordinate plane, the coordinates of the midpoint of
a line segment AB are (2, 5). If the coordinates of the point A are (1, 0),
what is the length of the line segment AB?
(A) V2
(B) 3/3
(C) 43
(D) /26
(E) 2/26
In the standard (x, y) coordinate plane, at what point does the graph of the
line y — 7x = —10 cross the y-axis?
(A) y=—10
(B) -y=—7
(C) y=-3
(D) y=7
(BE) g=10
In the following figure, the midpoint of line MN is P, while the midpoint
of the line segment QP is R. If the length of QR is 6 and the length of MQ
is 4, what is the length of MN?
124 » McGraw-Hill Education 500 ACT Math Questions
393. In the following figure, lines m and 7 are parallel, and the value of x is 36.
What is the value of y?
(C) 64
(E) 144
394. The area of a rectangle in the (x, y) coordinate plane is 6. The corners of
the rectangle are the points A (1, 4), B (4, 4), C (4, 6), and D (x, y). What
are the coordinates of point D?
(A) (ino)
(B) (1, 6)
(C) (4, 1)
(D) (4, 3)
(E) (4, 7)
1 395. What is the slope of a line that passes through the points (—5. 2] and
(-1 > *) in the (x, y) coordinate plane?
(A) -—28
(B) —10 (©) -7
(ip 2
Geometry ¢ 125
396. In the following figure, the height of triangle MNP is 10 units larger
than the height of triangle ABC. Both triangles have a base of length x. If
the area of triangle ABC is 50 square units and x = 5, what is the area of
triangle MNP in square units?
N
397. The circle in the following figure is centered at the point O, and the points
A and B lie on its circumference. In degrees, what is the measure of angle
AOB?
B
126 )» McGraw-Hill Education 500 ACT Math Questions
398. Which of the following equations represents a line that is perpendicular to
the line 5x = 2y = 8?
Ce =2 ays 8 (B) 5x—2y=-12
(GC) Qe 59= 20
(DD) 2a 57 = 11 (E) -2x— Sy = 10
x 399. A line in the (x, y) coordinate plane has a slope of -2 and passes through
the point (—3, 5). What is the y-intercept of this line?
{A)i =5
(B) eo
4
5 Gy 2 (C) ?
(D) 14
(E) 20
400. A line in the (x, y) coordinate plane has a positive y-intercept c and a
negative slope. Which of the following statements MUST be true about
the x-intercept of this line?
(A) x<c
(B) x= 0
(CG) m=e
(1D) care
(Ex 0
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