Question

Help me please <33 i need work shown

Answer 1

JL = 54

Explanation:

JK = 8x + 11

KL = 14x - 1

Find x:

JK = KL

8x + 11 = 14x - 1

12 = 6x

x = 2

JL = JK + KL

JL = 8x + 11 + 14x -1

JL = 22x + 10

JL = 22(2) + 10

JL = 54

Answer 2

54

Explanation:

JL = JK+ KL

Since K is the midpoint

JK = KL

8x+11 = 14x-1

Subtract 8x from each ide

8x+11-8x = 14x-1-8x

11 = 6x-1

Add 1 to each side

11+1 = 6x-1+1

12 = 6x

Divide by 6

12/6 = 6x/6

2 = x

JL = JK+ KL

= 8x+11 + 14x-1

= 22x+10

= 22*2 + 10

= 44+10

= 54