Question

If EF = 2x - 12 FG = 3x - 15. and EG = 23, find the values of x. EF, and FG. The drawing is not to scale. x =3, EF = 8, FG = 15 Ox=10, EF = 32, FG = 45 O x =3, EF = -6, FG = -6 x =10, EF = 8, FG = 15

Answer 1

We have the next information

EF=2x-12

FG=3x-15

EG=23

With the information above we can have the next equation in order to find x

2x-12+3x-15=23

Then we sum similar terms

5x-27=23

then we isolate the x

5x=23+27

5x=50

x=10

then we substitute the value of x for each segment

EF=2x-12=2(10)-12=20-12=8

FG=3x-15=3(10)-15=30-15=15