If J is the midpoint of line segment HK, and HJ=3x+5 and JK=9x-3, what is HJ, JK, and HK?

Answer 1

Since J is the midpoint of HK, then HJ=JK and 3x+5=9x-3 solve for x

6x=8 x=8/6=4/3 so HJ=3x+5=3(4/3)+5=9 = JK HK=2(9)=18

the full segment HK is 18, each half of it is 9 =HJ=JK