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2 years ago

Can someone help me with this

Mathematics

1 answer:

Morgarella [4.7K]2 years ago

6 0

Answer:

FG=30

Step-by-step explanation:

Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:

$FH=FG+GH$

We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:

$4x=(2x+10)+x$

Solve for x. On the right, combine like terms:

$4x=3x+10$

Subtract 3x from both sides:

$x=10$

So, the value of x is 10.

To find the value of FG, substitute 10 into its x:

$FG=2x+10\\FG=2(10)+10$

Multiply:

$FG=20+10$

Add:

$FG=30$

And we're done!

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