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 \HK and \KJ set them equal to \HJ

because the smaller line segments make up the larger line segment.
\HK + \KJ = \HJ

x-5+5x-12=25
solve for x.

Answer 2

7.

Step-by-step explanation:

Given that the point K lies in between the points H and J.

and the value of
`HK` is
`x-5` and the value of
`KJ` is
`5x-12` and the value of
`HJ` is
`25`.

Therefore the line segment
`HJ` is the larger and we can equate it as,

`HJ=HK+KJ`

Put all the given values in the above equation.

`25=x-5+5x-12\\6x=25+17\\x=(42)/(6) \\x=7`

Therefore the value of x is 7.