Give the measure of the requested angle.The complement of angle x is two times the angle. Find the measure of the angle and its complement.
A. 30° and 60°
B. 45° and 90°
C. 22.5° and 67.5°
D. 60° and 120°
Answer: A
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Write the compound statement in symbols. Then construct a truth table for the symbolicstatement.Let r = "The food is good," p = "I eat too much,"q = "I'll exercise."If the food is good or if I eat too much, I'll exercise.
A. (r ? p) ? q 
| T | T | T T |
| T | T | F F |
| T | F | T T |
| T | F | F T |
| F | T | T T |
| F | T | F T |
| F | F | T T |
| F | F | F T |
B. (r ? p) ? q
| T | T | T T |
| T | T | F F |
| T | F | T T |
| T | F | F F |
| F | T | T T |
| F | T | F F |
| F | F | T T |
| F | F | F T |
C. r ? (p ? q)
| T | T | T T |
| T | T | F T |
| T | F | T T |
| T | F | F F |
| F | T | T T |
| F | T | F T |
| F | F | T T |
| F | F | F T |
D. r ? p ? q
| T | T | T T |
| T | T | F T |
| T | F | T T |
| T | F | F F |
| F | T | T T |
| F | T | F T |
| F | F | T T |
Solve the problem. Use a calculator with an LN or a LOG key.An earthquake was recorded with an intensity which was 
times more powerful than a reference level earthquake, or 
What is the magnitude of this earthquake on the Richter scale (rounded to the nearest tenth)? The magnitude on the Richter scale of an earthquake of intensity I is 
A. 3.7 B. 4.7 C. 0.5 D. 10.8
Provide an appropriate response.Solve: (x + 1)2 - 2x = x2 + 2
Fill in the blank(s) with the appropriate word(s).
Which of the following expressions is equivalent to 3 sin2 ? - 3 sin4 ?? ?
A. 3 cos4 ? + cos2 ? B. -cos2 ? - 3 cos4 ?) C. 3 (cos2 ? + cos4 ?) D. 3 (cos2 ? - cos4 ?) E. -3 (cos2 ? - cos4 ?)