If ef = 2x – 12, fg = 3x – 15, and eg = 23, find the values of x, ef, and fg.

x = 10 , EF = 8 , FG = 15.

Step-by-step explanation:

Given : If EF = 2x – 12, FG = 3x – 15, and EG = 23.

To find :  find the values of x, EF, and FG.

Solution : We have given EF = 2x – 12, FG = 3x – 15, and EG = 23.

Let the line E ___F___G.

Here F is the mid point of EG . ( mid point divide the line EG cut the line EG in two equal parts)

We can say EF = FG.

EF + FG = EG (1)

Plug tha values EF = 2x -12  and FG = 3x - 15 , EG = 23 in equation (1).

2x - 12 + 3x -15 = 23 .

On combine like terms

2x + 3x -12 -15 = 23 .

5x - 27 + 23 .

on adding both side by 27.

5x = 23 +27.

5x = 50 .

On dividing both sides by 5.

x = 10.

Them, EF = 2 (10) -12

                   20 -12

              EF = 8

FG = 3 (10) -15 .

FG = 30 -15 .

FG = 15.

EG = 5 +18 = 23 .

Therefore, x = 10 , EF = 8 , FG = 15.

yes

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