Question

If EF = 5w + 20, FG = 7w + 28, and EG = 72, find the value of w. Find EF and FG

Answer 1

w = 2, EF = 30 , FG = 42

Step-by-step explanation:

We have EF = 5w + 20 and FG = 7w + 28

Since these points E, F and G are col-linear points we have.

EG = EF + FG

And given that EG = 72

So, EF+EG = 72

5w + 20 + 7w + 28 = 72

12w + 48 = 72

12 w = 24

w = 2

So EF = 5w + 20 = 5x2 + 20 = 30

FG = 7w + 28 = 7x2 + 28 = 42