SOLUTION: Suppose M is the midpoint of Line FG. FM = 3x-4, MG = 5x-26, FG = ? The answer is 58. How do you get that?

Algebra ->  Angles -> SOLUTION: Suppose M is the midpoint of Line FG. FM = 3x-4, MG = 5x-26, FG = ? The answer is 58. How do you get that?      Log On


   

Question 638535: Suppose M is the midpoint of Line FG.
FM = 3x-4, MG = 5x-26, FG = ?
The answer is 58. How do you get that?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint:

Since M is the midpoint of Line FG, we know that

FM + MG = FG

which means

3x - 4 + 5x - 26 = FG

-----------------------------------------------------------

and we also know that FM = MG (since the midpoint cuts the line segment exactly in half)

So

3x - 4 = 5x - 26

Solve this for x. Once you find x, use it in the equation 3x - 4 + 5x - 26 = FG to find FG.