KaleesiZ394653 KaleesiZ394653
  • 25-10-2022
  • Mathematics
contestada

Point I is between points G and H. GH=13 (x-1). IG=16+4x and HI=25. Find GH

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CarlieeS151598 CarlieeS151598
  • 25-10-2022

GH = 13(x-1) = 13x - 13

Suppose I is between point G and H, then

GH = GI + IH

13x - 13 = 16 + 4x + 25

Let's solve for x

First, collect like term.

13x - 4x = 16 + 25 + 13

9x =54

Divide both-side of the equation by 9

x = 54/9

x= 6

We can now find GH by simply substituting x = 6 into GH = 13x -13

GH = 13(6) - 13

=78 - 13

=65

Therefore, the length of GH = 65

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