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Find the lengths of the segments with variable expressions ​

Find the lengths of the segments with variable expressions ​-example-1
User Dersimn
by
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1 Answer

10 votes
10 votes

Answer:

EF = 10; AD = 3 ; BC = 17

Explanation:

The median (EF) of a trapezoid equal half the sum of the length of the two bases of the trapezoid (AD and BC)

EF = 1/2 (AD + BC)

x = 1/2( x - 7 + 2x - 3)

x = 1/2 (3x - 10)

2x = 3x - 10 Multiply all terms by 2 or x = 3/2x - 5

-x = -10 x - 3/2x = -5

x = 10 -1/2x = -5

x = 10

So EF = 10

AD = x - 7 BC = 2x - 3

AD = 10 - 7 BC = 2(10) - 3

AD = 3 BC = 20 - 3

BC = 17

User George Armhold
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