Question

This is for geometry so if anyone knows it can they please help as soon as possible

Answer 1

I would assume the question is finding x, so this is how you do it:

The distance of Line DF = 15

E is a point that divides the line to make DE and EF to make:

DF = DE + EF

Substitute the values. And perform algebra.

15 = (x + 2) + (x + 5)

15 = x + x + 2 + 5

15 = 2x + 7

15 - 7 = 2x

8 = 2x

8/2 = x

4 = x

To make sure of the answer, substitute the x value with 4.

15 = (4 + 2) + (4 + 5)

15 = 6 + 9

15 = 15

Glad to help.

Answer 2

The overall length is given as 15.

Add the two equations together to equal 15:

x +2 + x +5 = 15

Combine like terms:

2x + 7 = 15

Subtract 7 from both sides:

2x = 8

Divide both sides by 2:

x = 8/2

X = 4

Now replace x with 4 to solve for each equation:

DE = x+2 = 4+2 = 6

EF = x+5 = 4+5 = 9