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pickupchik [31]
3 years ago
11

What is the value of x which proves that the runways are parallel? What is the measure of the larger angle? (evidently the answe

r is NOT 'b')
A) x = 20; 92 degrees

B) x = 40; 88 degrees

C) x = 25; 107 degrees

D) x = 30; 115 degrees
Mathematics
1 answer:
romanna [79]3 years ago
3 0
I feel like the answer is C
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So the picture below shows what the slant height is. It also shows that the pyramid can form a right triangle, in which we can use the pythagorean theorem, which is leg^2+leg^2=hypotenuse^2 .

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432=\frac{12*12*h}{3}\\ 1296=12*12*h\\ 1296=144*h\\ 9=h

So now we can use the pythagorean theorem (remember to split the 12 by 2, since the right triangle has only half the length of the base). Our equation will be solved as such:

6^2+9^2=s^2\\ 36+81=s^2\\ 117=s^2\\ 10.8=s

In short, the slant height is 10.8 ft.

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