At 30 miles an hour how long does it take to travel 180 miles from
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The missing statements with regard to the mathematical proof are:
- "inscribed angles; one half the measure of their intercepted arcs" (Option D); and
- inscribed angles; equal to the measure of their intercepted arcs (Option B).
It is to be noted that an intercepted arc is the arc that sits inside the inscribed angle. See the attached image.
Thus, it is correct to state that
The missing statements with regard to the mathematical proof are:
- "inscribed angles; one half the measure of their intercepted arcs" (Option D); and
- inscribed angles; equal to the measure of their intercepted arcs (Option B).
Learn more about mathematical proof at:
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Answer:
B
Step-by-step explanation:
Given
7 | 3f + 4 | = 91 ← divide both sides by 7
| 3f + 4 | = 13
The absolute value function always returns a positive value, but the expression inside can be positive or negative. Thus there are 2 possible solutions.
Solve 3f + 4 = 13 → 3f = 13 - 4 = 9 ⇒ f = 3
Solve 3f + 4 = - 13 ⇒ 3f = - 13 - 4 = - 17 ⇒ f = -
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
f = 3 : 7| 9 + 4| = 7| 13| = 7 × 13 = 91 ← True
f = -
7 | - 17 + 4| = 7| - 13| = 7 × 13 = 91 ← True
Hence the correct solutions are B