Answered

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Sagot :

akposevictor

Answer:

GH = 15

Step-by-step explanation:

14. BC = 19

GH = 9x - 3

FE = 5x + 1

Given that GH is the midsegment of the trapezoid, therefore:

GH = (BC + FE)/2

Plug in the values

9x - 3 = (19 + 5x + 1)/2

9x - 3 = (20 + 5x)/2

Multiply both sides by 2

2(9x - 3) = 20 + 5x

18x - 6 = 20 + 5x

18x - 5x = 20 + 6

13x = 26

Divide both sides by 13

x = 2

✔️GH = 9x - 3

Plug in the value of x

GH = 9(2) - 3 = 18 - 3

GH = 15

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