Respuesta :

Given that A, B, and C are collinear and B lies between A and C, then:

AB + BC = AC

Replacing with data:

(2x + 2) + (3x + 6) = 48

(2x + 3x) + (2 + 6) = 48

5x + 8 = 48

5x = 48 - 8

5x = 40

x = 40/5

x = 8

Then,

BC = 3x + 6

BC = 3(8) + 6

BC = 24 + 6

BC = 30