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a_sh-v [17]
3 years ago
14

If K is the midpoint of jl ,jk =9x-1 and kl =2x+27, find jl

Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

Answer:

JL = 70

Step-by-step explanation:

If K is the midpoint of the segment, then JK = KL

JK = KL

9x-1 = 2x+27

Subtract 2x from each side

9x-2x -1 = 2x+27-2x

7x-1 = 27

Add 1 to each side

7x-1+1 = 27+1

7x = 28

Divide each side by 7

7x/7 = 28/7

x =4


But we want to find JL

JL = JK + KL

JL = 9x-1 +2x+27

Combine like terms

JL =  11 x+ 26

Substitute x =4

JL = 11*4+26

JL = 44+26

JL = 70

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