Problem
Suppose that J is between H and K. If HJ=2x+4, JK=3x+3, and KH=22, find the lengths of HJ and JK. Remember to always draw an image first and to pay attention to what the question is asking for!



Solution
Find the Segment Addition Postulate
Use the Segment Addition Postulate and then substitute what we know. Do not use any spaces in your answers.

HJ+JK= Answer

( Answer
)+( Answer
)= Answer



Find x
Once we combine our like terms we get:

Answer
x+ Answer
= Answer

x= Answer



Find HJ and JK
Our questions asked us for the lengths of HJ and JK so we must plug in the value of x to solve for those values. We were given HJ=2x+4 and JK=3x+3.

HJ=2x+4

HJ=2( Answer
)+4

HJ= Answer

And

JK=3x+3

JK=3( Answer
)+3

JK= Answer
3x-4



Check Work
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