geometry skills

Question

if k is the midpoint if er, ek = x + 5, and er = 4x + 2, then what is the length of kr?

Answer 1

e---------------------k----------------------r

From the Segment Addition Postulate:

ek + kr = er

Also, since k is the midpoint, ek = kr = x + 5

ek + kr = er

x+5 + x+5 = 4x + 2

2x + 10 = 4x + 2

Solve for x. Once tyou have x, kr = x+5.