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1. |
Which triangle is similar to  |
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A. |
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B. |
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C. |
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D. |
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Hint |
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2. |
and are similar. Find x if z = 3, a = 6, and c = 4.5. |
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A. |
2.25 |
B. |
7.5 |
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C. |
9 |
D. |
4 |
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3. |
In a right triangle, the length c of the hypotenuse is 14 and the length b of one of the legs is 8. Find the length a of the other leg to the nearest hundredth. |
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A. |
16.12 |
B. |
21.23 |
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C. |
11.49 |
D. |
19.88 |
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Hint |
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4. |
Simplify  |
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A. |
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B. |
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C. |
72 |
D. |
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5. |
Simplify . |
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A. |
4 |
B. |
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C. |
16 |
D. |
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6. |
Simplify . |
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A. |
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B. |
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C. |
The expression is in simplest form. |
D. |
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7. |
Simplify . |
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A. |
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B. |
The expression is in simplest form |
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C. |
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D. |
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8. |
Solve . |
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A. |
0 |
B. |
-1 |
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C. |
2 |
D. |
no real solution |
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9. |
Solve . |
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A. |
-1, 3 |
B. |
3 |
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C. |
-1 |
D. |
1, 3 |
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Hint |
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10. |
The distance between the points with coordinates (3, 7) and (-2, a) is units. Find the value of a. |
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A. |
-1 or -13 |
B. |
-1 or 13 |
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C. |
1 or 13 |
D. |
-1 or 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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12. |
Tamotsu and Ryan each go to the same school. Tamotsu lives 5 miles north and 3 miles west of the school. Ryan lives 7 miles south and 4 miles east of the school. How far apart do they live? |
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A. |
13.9 miles |
B. |
2.24 miles |
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C. |
7.28 miles |
D. |
12.04 miles |
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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 52° |
B. |
sin 52° |
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C. |
tan 38° |
D. |
sin 38° |
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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. |
460.9 ft. |
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C. |
117.2 ft. |
D. |
155.3 ft. |
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Hint |
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