J is the midpoint of HK. What are HJ, JK and HK? H___9x - 2_____J__4x + 13_____K *
Since J is the midpoint.....it must be that HJ = JK
So
9x - 2 = 4x + 13
9x - 4x = 13 + 2
5x = 15
x = 3
So HJ = 9(3) - 2 = 25
And if we did everything right....JK =4(3) + 13 = 25
And HK must = HJ + JK = 25 + 25 = 50
