Question

If U is the midpoint of HG and HU = 4x + 1 and UG = 19 + 2x, then find the length of HG.

Answer 1

Answer: HG=74 units

Explanation:

4x+1=19+2x (definition of midpoint)

2x=18 (isolate x)

x=9 (simplify)

HU=4(9)+1 (substitute)

HU=37 (simplify)

HU=UG (definition of midpoint)

HG=HU+UG

HG=HU+HU

HG=37+37

HG=74