steven82567 steven82567
  • 05-03-2021
  • Mathematics
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Find the lengths of the segments with variable expressions

Find the lengths of the segments with variable expressions class=

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essenceofay88
essenceofay88 essenceofay88
  • 05-03-2021

Answer:

EF = 7 units

AD =  3 units

BC =  11 units

Step-by-step explanation:

Since it is an isosceles trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.

x = 1/2(x-4 + 2x-3)

x = 1/2x - 2 + x - 1 1/2

x = 1 1/2 x - 3.5

-1/2 x = -3.5

x = 7 units

EF = 7 units

AD = 7-4 = 3 units

BC = 2(7) - 3 = 11 units

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