If ef = 4x − 16, fg = 3x − 6, and eg = 27, find the values of x, ef, and fg.

By the segment addition postulate:

If  F is on segment EG, then

As per the statement:

If EF = 4x − 16, FG = 3x − 6, and EG = 27

then by above definition we have;

Combine like terms;

Add 22 to both sides we have;

Divide both sides by 7 we have;

x = 7

EF = 4x-16 = 4(7)-16 = 28-16 = 12

FG = 3x-6 = 3(7)-6 = 21-6 = 15

Therefore, the values are x = 7, EF = 12 and FG = 15.

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23

0.02040816326