Hj = 2x+4 jk=3x+3 kh=22

Question

Find the length of each segment 

Answer 1

Here, you have to use the "Segment Addition Postulate" for line segments : AB + BC = AC

 

In this case  HJ + JK = HK 

 (2x+4) + (3x+3) = 22 

Next, combine liked terms: 5x+7= 22

Subtract 7 from both sides of the equation: 5x = 15

Divide both sides of the equation by 5: x=3

 

Now, replace each "x" with 3

HJ: 2(3)+4 = 10

JK: 3(3)+3 = 12                    

KH: 22