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1. |
and are similar. Find b if x = 15, y = 6, and a = 7.5. |
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 |
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A. |
7.5 |
B. |
12 |
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C. |
3 |
D. |
6 |
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Hint |
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2. |
and are similar. Find a if x = 7, y = 1, and  |
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A. |
 |
B. |
 |
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C. |
1 |
D. |
 |
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Hint |
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3. |
Find the length of the missing side to the nearest hundredth. |
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 |
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A. |
3 |
B. |
6.24 |
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C. |
9.43 |
D. |
4.87 |
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Hint |
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4. |
Simplify . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Simplify  |
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A. |
72 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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6. |
Simplify . |
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A. |
 |
B. |
7 |
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C. |
 |
D. |
 |
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Hint |
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7. |
Which are the vertices of an isosceles triangle? |
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A. |
G(5, 1), H(-4, 3), I(2, 6) |
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B. |
D(2, -6), E(1, -5), F(8, 0) |
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C. |
J(0, 4), K(-3, -4), L(1, -5) |
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D. |
A(6, 3), B(-2, 4), C(2, 11) |
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Hint |
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8. |
What is the area of a square whose sides measure meters? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Solve . |
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A. |
15 |
B. |
125 |
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C. |
25 |
D. |
445 |
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Hint |
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10. |
Solve . |
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A. |
1 |
B. |
{1, –1} |
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C. |
no solution |
D. |
–1 |
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Hint |
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11. |
Consider a right triangle whose height is 12 feet and whose hypotenuse is 15 feet. What is the area of the triangle? |
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A. |
90 feet |
B. |
54 feet |
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C. |
108 feet |
D. |
180 feet |
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Hint |
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12. |
Greta and her grandmother planned to attend a downtown play. Greta lives 10 miles south and 4 miles west of downtown, while her grandmother lives 2 miles south and 2 miles east of downtown. If Greta picks up her grandmother on the way (rather than meet her at the play), how many miles does that add to her trip? |
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A. |
 |
B. |
 |
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C. |
2 |
D. |
 |
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Hint |
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13. |
Using the figure, which expression is equal to cos 38°? |
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A. |
tan 38° |
B. |
sin 38° |
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C. |
tan 52° |
D. |
sin 52° |
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Hint |
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14. |
John wanted to see the flag as he sang the national anthem, so he looked up at it at an angle of 38°. Then, he decided to get a closer look, so he walked 150 feet toward the flag. If his angle of elevation was now 46°, how high was the flag? |
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A. |
117.2 ft. |
B. |
460.9 ft. |
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C. |
477.3 ft. |
D. |
155.3 ft. |
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Hint |
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