As we are told that J is between H and K on line segment HK so HJ and JK becomes two different line segments on the same line segment HK
Using the segment addition postulate and the given values of line segments HJ, JK & HK, we first need to find out the value x first
As we know HJ + JK= HK
4x+9 + 3x+3 = 33
7x +12 = 33
7x= 33-12
7x=21
x= 21/7
x= 3
Hence the values of
Line segment HJ = 4x + 9 = 4× 3+ 9=21
Line segment HJ = 3x + 3 = 3× 3+ 3=12
To know more about segment addition postulate - https://brainly.com/question/14957499
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