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Bad White [126]
3 years ago
11

Find the measure of HG¯¯¯¯¯¯¯¯. A. 12 B. 16 C. 14 D. 7

Mathematics
1 answer:
Paraphin [41]3 years ago
3 0

HG^2 = FG * (FG + EF)

Fill in the values:

(x+3)^2 = x * (7+x)

Simplify the right side:

(x+3)^2 = 7x +x^2

Rewrite the left side using the FOIL method

x^2 + 6x + 9 = 7x +x^2

Subtract x^2 from both sides:

6x +9 = 7x

Subtract 6x from both sides:

x = 9

Now you have x solve for HG

HG = x +3 = 9+3 = 12

The answer is A.

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