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1. |
and are similar. Find b if x = 15, y = 6, and a = 7.5. |
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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. The ratio of to is Find if is 12. |
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A. |
16 |
B. |
12 |
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C. |
9 |
D. |
 |
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Hint |
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3. |
Find the measure of in the triangle below to the nearest hundredth. |
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A. |
1.29° |
B. |
70° |
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C. |
6.71° |
D. |
74.05° |
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Hint |
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4. |
In a right triangle, the legs have measures a = 11 and b = 19. Find the length c of the hypotenuse to the nearest hundredth. |
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A. |
21.95 |
B. |
27.63 |
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C. |
15.49 |
D. |
28.17 |
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Hint |
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5. |
Simplify . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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6. |
Simplify  |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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7. |
Simplify . |
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A. |
 |
B. |
 |
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C. |
The expression is in simplest form |
D. |
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Hint |
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8. |
Find the distance between points with coordinates (3, -4) and (-6, 5). |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
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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10. |
Solve . |
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A. |
8 only |
B. |
{5, 8} |
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C. |
7 only |
D. |
{6, 7} |
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Hint |
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11. |
Solve . |
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A. |
–13 |
B. |
13 |
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C. |
no solution |
D. |
19 |
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Hint |
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12. |
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. |
54 feet |
B. |
180 feet |
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C. |
108 feet |
D. |
90 feet |
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Hint |
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13. |
What is the perimeter of a triangle whose vertices are the points (–1, 4), (–1, –2), (5, –2)? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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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. |
477.3 ft. |
B. |
117.2 ft. |
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C. |
155.3 ft. |
D. |
460.9 ft. |
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Hint |
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