Question

Can someone help me with this

Answer 1

FG=30

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!