Question

given:Point K is between points H and J, HK= x-5, KJ=5x-12 and HJ=25. Find the value of x

Answer 1

Add the values of \(\overline{HK}\) and \(\overline{KJ}\). set them equal to \(\overline{HJ}\) because the smaller line segments make up the larger line segment.
\(\overline{HK} + \overline{KJ} = \overline{HJ}\)
\(x-5+5x-12=25\)
solve for \(x\).