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Flauer [41]
3 years ago
5

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

so

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

EF=x=9\ units

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

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