Answer: 46
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Explanation:
LK = 7x-10 is given
MK = 7x-10 as well because LK = MK
KN = x+3 is given
MN = 9x-11 is given
MK+KN = MN due to the segment addition postulate
Let's plug in the expressions for MK, KN and MN. Then we'll solve for x.
MK+KN = MN
(7x-10)+(x+3) = 9x-11
8x-7 = 9x-11
-7+11 = 9x-8x
4 = 1x
x = 4
With this x value in mind, we can then say that:
LK = MK = 7x-10 = 7*4-10 = 18
LJ = LK+KJ = 18+28 = 46
