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natka813 [3]
4 years ago
5

Two alternate exterior angles are formed by a transversal through two parallel lines. If one of these alternate exterior angles

has an angle measure of 5x-21 , and the other angle has a measure of 2x+12 , then what is the sum of their angle measures?
Physics
1 answer:
riadik2000 [5.3K]4 years ago
5 0

Answer:

SUM = 114+66= 180

Explanation:

The sum of the two exterior angles is 180° because the two exterior angles are lying on a straight line and straight line is 180°.

So,

(5x-21)+(2x+12) = 180°

5x-21+2x+12 = 180

5x+ 2x -21 +12 = 180

7x - 9 = 180

7x = 189

x = 189/7 = 27

So

5x-21 = (5*27) - 21 = 135 - 21 = 114

 2x+12 = 2 * 27 + 12 = 54+12 = 66

SUM = 114+66= 180      

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3 years ago
A parcel of land is in the shape of an isosceles triangle. The base has a length of 425 ft.; the other sides, which are of equal
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Answer:

The answer to your question is 636.6 ft    

Explanation:

Data

base = 425 ft

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See the picture below

1.- Divide the triangle to get two right triangles.

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2.- Use the trigonometric function sine to find the hypotenuse

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