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3 years ago

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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3 years ago

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According to statement

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2 years ago

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3 years ago

Read 2 more answers