SOLUTION: If EF=2x-12, FG=3x-15,and EG=23, find the values of x, EF , and FG.

Algebra ->  Formulas -> SOLUTION: If EF=2x-12, FG=3x-15,and EG=23, find the values of x, EF , and FG.      Log On


   

Question 592284: If EF=2x-12, FG=3x-15,and EG=23, find the values of x, EF , and FG.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: By the segment addition postulate, because F is on segment EG, we can say that


EF + FG = EG


therefore,

(2x-12)+(3x-15) = 23


or


2x-12 + 3x - 15 = 23


Solve this equation for x and use it to find the lengths of EF and FG