Respuesta :

Answer:


Step-by-step explanation:

Suppose J, K, L, M, N are points on the same line.


MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14


Since LK = MK and LK = 7x - 10, then


7x - 10 = 8x - 14


8x - 7x = -10 + 14


x = 4


LJ = MK + KJ


MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18


LJ = 18 + 28 = 46


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Answer:

LJ=46

Step-by-step explanation:

Suppose J,K,L,M,N are all point lie on the same line

We are given tha LM=MK

LK=7x-10

KN=x+3

MN=9x-11

KJ=28

We have to find LJ

MK=MN+NK=MN+(-KN)=MN-KN

MK=[tex]9k-11-x-3[/tex]

MK=[tex]8x-14[/tex]

LK=MK=8x-14

[tex]7x-10=8x-14[/tex]

[tex]14-10=8x-7x[/tex]

[tex]x=4[/tex]

[tex]LJ=LK+KJ[/tex]

Substitute x=4

LJ=[tex]7(4)-10+28=46[/tex]

Hence, LJ=46