Point J is between H and K on HK. Use the given information to write an equation in terms of x. Solve the equation then find HJ and JK

Question

#28. HJ=2x #29. HJ=x/4

JK=3x JK=3x-4

KH=25 KH=22

#30. HJ=5x-4 #29. HJ=5x-3

JK=8x-10 JK=x-9

KH=38 KH=5x

Answer 1

#28) HJ +JK = HK

2x + 3x = 25

5x = 25

x = 5

#30) 5x-4 + 8x-10 = 38

13x - 14 = 38

13x = 52

x = 4

#29) x/4 + 3x - 4 = 22

x + 12x - 16 = 88

13x - 16 = 88

13x = 104

x=8

#31) 5x - 3 +x - 9 = 5x

6x - 12 = 5x

x - 12 = 0

x = 12