Question

Point H is between G and I and GI = 50. Use the segment addition postulate to solve x.

GH = 4x - 6
HI = 2x + 2

Answer 1

• x = 9

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The segment GI contains both GH and HI.

Using the segment addition postulate we set up an equation:

• GI = GH + HI

Substitute to get:

• 50 = 4x - 6 + 2x + 2
• 50 = 6x - 4
• 54 = 6x
• x = 54/6
• x = 9

So the value of x is 9.