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Please HELP I NEED TO GO TO SLEEP number 9(ignore my writing)

Please HELP I NEED TO GO TO SLEEP number 9(ignore my writing)-example-1
User Deketim
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2 Answers

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46. That is the correct answer
User Peilonrayz
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2 votes

Answer: 46

=========================================================

Step-by-step 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

User Stewsha
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