point G is the midpoint of EF EG= 4x+12 and EF= 2x+30. How do i find GF?

jiskha(dot)com/display.cgi?id=1284407331

EF is the entire line.

E------G-------F

EG is half the line (or EF is twice as large as EG)

so, EF = 2(EG)

I still don't understand.

EF = 2(EG)

2x+30 = 2 (4x+12)

EG is essentially equal to GF, since G is the midpoint.

once you solve for x, plug it back into 4x+12 and that will give you GF

i got it now, thx!

p-4=-9-p

I came here for answers and im wondering how do you find x if you don't have a full equation since you don't know GF already?

To find the length of GF, we need to use the fact that point G is the midpoint of line segment EF.

Since G is the midpoint, we can set up the equation:

GF = EF - EG

But we need to find the values of EF and EG in terms of x first. Given that EG = 4x + 12 and EF = 2x + 30, substitute these values into the equation:

GF = (2x + 30) - (4x + 12)

Let's simplify this expression:

GF = 2x + 30 - 4x - 12

Combine like terms:

GF = -2x + 18

So, GF is equal to -2x + 18.