Question

Paint A, B, and C are collinear Point B is between A and C. Find the lengths indicated.

1.
AB = 2x-1
BC= 3x +11
AC = 125
Find:
a. x =
b. AB =
C. BC =

Answer 1

• x=25

• AB = 2x-1 = 2(25)-1 = 49

• BC = 3x+11 = 3(25)+11 = 86

Explanation:

Given that Points A, B, and C are collinear.

AB = 2x-1

BC= 3x +11

AC = 125

Point B is between A and C.

so

AC = AB + BC

substituting the values

125 = 2x-11 + 3x+11

125 + 11 = 2x+3x+11

136 = 5x+11

136-11 = 5x

125 = 5x

x = 25

Thus,

• x=25

• AB = 2x-1 = 2(25)-1 = 49

• BC = 3x+11 = 3(25)+11 = 86