Suppose J is between H and K. Use the Segment Addition Postulate to solve for x. Then find the length of each segment.


HJ=4x+9, JK=3x+3, KH=33








Answer:

It should be noted that:

HJ=4x+9,

Jk=3x+3,

HK=33







4x + 9 + 3x + 3 = 33 7x + 12 = 33

7x = 33 - 12

7x = 21




Divide

x = 21 / 7

x = 3




HJ=4x+9, = 4(3) + 9 = 21

Jk=3x+3 = 3(3) + 3 = 12




Therefore, the length of the segment when J is between H and K will be HJ = 21 and JK = 12.