iipikachunarwhal iipikachunarwhal
  • 09-02-2021
  • Mathematics
contestada

Please answer!
Find the lengths of the segments with variable expressions.

Please answer Find the lengths of the segments with variable expressions class=

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jimrgrant1 jimrgrant1
  • 09-02-2021

Answer:

EF = 8

Step-by-step explanation:

The midsegment EF is half the sum of the parallel bases , that is

x = [tex]\frac{x-5+2x-3}{2}[/tex] ( multiply both sides by 2 to clear the fraction )

2x = 3x - 8 ( subtract 2x from both sides )

0 = x - 8 ( add 8 to both sides )

8 = x

Thus

EF = x = 8

AD = x - 5 = 8 - 5 = 3

BC = 2x - 3 = 2(8) - 3 = 16 - 3 = 13

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