Question

BD=BC, BD= 5x +26, BC= 2x+1, and AC = 43, find AB

Answer 1

Imagine that points A, B, C and D are collinear and appears in that order from the left to the right. You want to find the measure of the first line segment AB. First, let's find the value of x.

BD = BC
5x + 26 = 2x + 1
5x - 2x = 1 - 26
3x = -25
x = -8.33

2(-8.33) + 1 = -15.67
So, BD=BC= -15.67

To find AB, the solution is as follows:
AC = AB + BC
43 = AB + (-15.67)
AB = 58.67