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Evgen [1.6K]
3 years ago
8

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

Mathematics
2 answers:
marusya05 [52]3 years ago
8 0

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


Read more on Brainly.com - brainly.com/question/5067118#readmore

dusya [7]3 years ago
4 0

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

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These are two linear equations that you must solve at the same time, meaning you must use both equations to solve both equations.

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