Respuesta :

johnkellock
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:

7.

Explanation:

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

and the value of[tex]HK[/tex] is [tex]x-5[/tex] and the value of[tex]KJ[/tex] is [tex]5x-12[/tex] and the value of [tex]HJ[/tex] is [tex]25[/tex].

Therefore the line segment [tex]HJ[/tex] is the larger and we can equate it as,

[tex]HJ=HK+KJ[/tex]

Put all the given values in the above equation.

[tex]25=x-5+5x-12\\6x=25+17\\x=\frac{42}{6} \\x=7[/tex]

Therefore the value of x is 7.

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