Question

If LM = MK, LK =7x-10, KN = x+3, MN = 9x-11, and KJ =28, find LJ

Answer 1

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 2

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=$9k-11-x-3$

MK=$8x-14$

LK=MK=8x-14

$7x-10=8x-14$

$14-10=8x-7x$

$x=4$

$LJ=LK+KJ$

Substitute x=4

LJ=$7(4)-10+28=46$

Hence, LJ=46