SOLUTION: Find the value of z. Then find GE and EH and state whether E is the midpoint of GH. GH=z+6, EH=2z-4, GE=z

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Question 207180This question is from textbook Geometry
: Find the value of z. Then find GE and EH and state whether E is the midpoint of GH.
GH=z+6, EH=2z-4, GE=z This question is from textbook Geometry

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

  GH  = GE +    EH

z + 6 =  z + (2z - 4)

z + 6 =  z + 2z - 4

z + 6 =  3z - 4

  -2z = -10

    z = 5

So GE = z = 5
   EH = 2z - 4 = 2(5) - 4 = 10 - 4 = 6
   GH = z + 6 = 5 + 6 = 11

No E is not the midpoint of GH since GEEH,
they would have had to be  each, but one
is 5 an the other 6.

Edwin
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