In the figure below, AB and GE are parallel. Triangle ACD is isosceles with the lengths of CA and CD equal. The measures of angles FDE and GDH are 60° and 65° respectively. What is the measure of angle CAB?
A) 55° B) 6° C) 10° D) 15° E) 5°
2. If a, b and y are positive real numbers with su...
1. In the figure below, AB and GE are parallel. Triangle ACD is
isosceles with the lengths of CA and CD equal. The measures of angles
FDE and GDH are 60° and 65° respectively. What is the measure of
angle CAB?
A) 55°
B) 6°
C) 10°
D) 15°
E) 5°
2. If a, b and y are positive real numbers with such that none of them is
equal to 1 and b
2a + 6
= y 2, which of these must be true?
A) y = b a + 3
B) 2a + 6 = 2
C) b = y
D) b = 2
E) b(2a + 6) = 2y
3. What is true about the graph of function f defined by
f(x) = 4 + | | x | - 3 |
, (I) Symmetric with respect to y-axis
(II) Has no x intercepts
(III) Has a y intercept at (0 , 7)
A) (I) and (II) only
B) (I) and (III) only
C) (I), (II) and (III)
D) None
E) (II) and (III) only
4. A number x is divided by 0.71 and the result decreased by 0.2. If the
fifth root of the final result equals -0.15, what is the value of x rounded to
the nearest thousandth?
A) 0.141
B) 0.71
C) 0.143
D) 0.142
E) 0.036
5. Find the constant k so that the perpendicular bisector of the line
segment with end points (k , 0) and (4 , 6) has a slope 0f -3.
A) 4
B) -14
C) 6
D) 22
E) 0
6. Forty students are each registered to study one or more of three
courses. 23 students are registered in one course only and 14 students
are registered in two courses only. How many are registered in all 3
courses?
A) 3
B) 11
C) 37
D) 17
E) 26
7. Which of the statements below are true about the graphs of the
equations x 2 + y 2 = 9 and (x + 6) 2 + y 2 = 9?
(I) Both graphs are circles.
(II) The two graphs touch at one point.
(I) The two graphs have two distinct points of intersection.
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