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Alekssandra [29.7K]
3 years ago
9

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

Mathematics
1 answer:
beks73 [17]3 years ago
3 0
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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