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

Verified Answer :

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\(HK\) 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.

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