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xz_007 [3.2K]
3 years ago
14

50 POINTS!!

Mathematics
1 answer:
Charra [1.4K]3 years ago
8 0

Answer:

FH=73

Step-by-step explanation:

We are given that a segment FH and G is the midpoint of FH.

FH=14x-4

FG=5x+9

We have to find the measure of FH.

When G is the midpoint of segment FH

Then , FG=GH

FH=FG+GH

Segment addition property

14x-4=FG+FG

Substitution property

14x-4=2FG

14x-4=2(5x+9)

14x-4=10x+18

14x-10x=18+4

4x=22

x=\frac{22}{4}=5.5

Substitute the values then we get

FG=5(5.5)+9=36.5

FG=GH=36.5

FH=14(5.5)-4=73

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