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

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M 9. If LK = MK, LK = 7x-10, KN = x + 3, MN = 9x - 11. and KJ = 28, find L. LK: 7-10 kn +3 INOX LJ = LK + KJ LJ= 7x 28 LJ = 78+ 38

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Roland Sarrazin · Answer 1 · 2018-06-11T22:59:32+0000

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

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

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