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Norma-Jean [14]
3 years ago
15

M is the MIDPOINT OF FG. FG = 26 AND GM = (3X - 2)

Mathematics
1 answer:
vova2212 [387]3 years ago
3 0

It is given in the question that

M is the MIDPOINT OF FG.

FG = 26 \  AND \  GM = (3X - 2)

Since M is the midpoint of FG, therefore GM is half of FG. That is

3X-2 = \frac{1}{2} (26)

3X-2 =13
\\
3X = 15
\\
X =5

Therefore

GM = 3(5) -2 = 13

And FM is 13 too .

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Answer: 52 degrees

Explanation:
For this problem, we must know that the complement of an angle is the measure of which will make a 90 degree sum.

So in this problem we simply solve the equation as follows:

38 + x = 90
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Hence the complement of 38 is 52.

Cheers.
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