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given H is the midpoint of GI. the length of GH is represented by 4x-5 and the length of HI is represented by 3x+20. find the value of x and the measures of GI, Gh, and HI.

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The two parts are equal, so ...
4x-5 = 3x + 20
x = 25

so GH = 4x-5 = 4(25) - 5 = 95
HI = 3(25) + 20 = 95

I guess GI = 190

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