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Nonamiya [84]
3 years ago
7

Point G is on line segment FH. Given FH = 4x, GH = x, and FG = 2x + 10,

Mathematics
2 answers:
sergeinik [125]3 years ago
8 0

Answer:

FG=11

Step-by-step explanation:

kondaur [170]3 years ago
4 0

Answer:

30 units

Step-by-step explanation:

If point G is on line segment FH, then point G lies between points F and H.

Segment Addition Postulate states that given 2 points F and H, a third point G lies on the line segment FH if and only if the distances between the points satisfy the equation FG + GH = FH.

By segment addition postulate,

FG+GH=FH

Given

FH = 4x,

GH = x,

FG = 2x + 10,

then

4x=x+2x+10\\ \\4x=3x+10\\ \\4x-3x=10\\ \\x=10\\ \\FG=2x+10=2\cdot 10+10=30\ units

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