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ser-zykov [4K]
3 years ago
5

BRAINLIEST!!!! Please say yes or no for number 13 and explain why. +15 points

Mathematics
1 answer:
WINSTONCH [101]3 years ago
8 0

Answer:

yes (answer in the comments) U^U

Step-by-step explanation:

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Step-by-step explanation:

By the midsegment theorem,

AB=\dfrac{KN+LM}{2}

Since the ratio LM:KN=1:5, then LM=x,\ KN=5x and

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Trapezoid KLMN is isosceles trapezoid (KL = MN), then KE = FN and

KE=FN=\dfrac{KN-EF}{2}=\dfrac{30-6}{2}=12\ units

Consider right triangle KLE. By the Pythagorean theorem,

KL^2=LE^2+KE^2\\ \\15^2=LE^2+12^2\\ \\LE^2=15^2-12^2\\ \\LE^2=225-144=81\\ \\LE=9\ units

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