saabrrinnaaa
saabrrinnaaa saabrrinnaaa
  • 12-11-2018
  • Mathematics
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please help w/ this question

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please help w this question image attached class=

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sqdancefan
sqdancefan sqdancefan
  • 12-11-2018

Answer:

17

Explanation:

The median segment (HJ = 5x+2) has a length that is the average of the lengths of the other parallel segments, (KL = 4x+1, and NM = 27). Writing this relation as an equation, we have ...

... 5x + 2 = (4x + 1 + 27)/2

... 10x + 4 = 4x + 28 . . . . . . multiply by 2, collect terms

... 6x = 24 . . . . . . . . . . . . . . add -4x-4

... x = 4 . . . . . . . . . . . . . . . . . divide by 6

Then the length of KL is ...

... KL = 4x +1

... = 4·4 +1 = 17

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