Question

If EF = 5x, FG = 10, and EG = 10x, what is EF?
geometry

Answer 1

EF = 10

Explanation:

EF = 5x

FG = 10

EG = 10x

Answer 2

If points E,F,G are collinear, then,

EF+FG = EG

5x+10 = 10x

10 = 10x-5x

10 = 5x

5x = 10

x = 10/5

x = 2

So,

• EF = 5x = 5*2 = 10
• EG = 10x = 10*2 = 20

As a check, EF+FG = 10+10 = 20 = EG to help confirm the answer

Final Answer: EF = 10