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S_A_V [24]
4 years ago
15

I need help with this

Mathematics
1 answer:
Dafna11 [192]4 years ago
5 0

Answer:

  x = -9

Step-by-step explanation:

The attachment shows the labeling according to the problem statement.

The overall length is the sum of the constituent segment lengths, so ...

  FG + GH = FH

  (10 +x) +(7) = (2x +26)

  x +17 = 2x +26

  x -9 = 2x

  -9 = x

__

<em>Check</em>

Then the segment length FG is ...

  10 +x = 10 -9 = 1

and the overall length is ...

  2x +26 = 2(-9) +26 = -18 +26 = 8

That is, 1 + 7 = 8.

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