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3 years ago

What’s the length of the segments variable expressions ??

Mathematics

1 answer:

maxonik [38]3 years ago

4 0

Answer:

$EF=9\ units$

Step-by-step explanation:

we know that

The <u><em>Trapezoid Mid-segment Theorem</em></u> states that: A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases

so In this problem

$EF=\frac{1}{2}[AD+BC]$

substitute the given values

$x=\frac{1}{2}[(x-6)+(2x-3)]$

$x=\frac{1}{2}[3x-9]$

$2x=(3x-9)\\3x-2x=9\\x=9$

$AD=x-6=9-6=3\ units$

$EF=x=9\ units$

$BC=2x-3=2(9)-3=15\ units$

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4 years ago

(04.06 LC)

zepelin [54]

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Naily [24]

Answer:

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Step-by-step explanation:

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