Answer:
GH = 9
Step-by-step explanation:
Note:
GI = GH + HI
Plug in the corresponding terms to the corresponding variables:
3x + 8 = (x + 6) + (x + 5)
First, simplify. Combine like terms:
3x + 8 = (2x) + (11)
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 2x and 8 from both sides:
3x (-2x) + 8 (-8) = 2x (-2x) + 11 (-8)
3x - 2x = 11 - 8
x = 3
Plug in 3 for x in the length of GH.
GH = x + 6
GH = 3 + 6
GH = 9
9 is the numerical length of GH.
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