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

Answer:

7.

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.

$25=x-5+5x-12\\6x=25+17\\x=\frac{42}{6} \\x=7$

Therefore the value of x is 7.