maddle7gamer maddle7gamer
  • 08-09-2022
  • Mathematics
contestada

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

Respuesta :

rafikiedu08 rafikiedu08
  • 13-09-2022

LJ = 18 + 28 = 46

LJ = 18 + 28 = 46

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

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

As 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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