Question

Point F is on line segment EG. Given EF = 2x, EG = 5x, and FG = 2x + 4,

determine the numerical length of EG.

Answer 1

The numerical length of EG is 20 units

Explanation:

Here, we are told to determine the numerical length of EG

We are told in the question that point F is on the line segment EG

Thus, by mathematical conventions (

EG = EF + FG

inputing the values given in the question;

5x = 2x + 2x + 4

5x = 4x + 4

5x -4x = 4

x = 4

But EG = 5x

So EG = 5(4)

EG = 20 units