edreecejan edreecejan
  • 10-08-2021
  • Mathematics
contestada

Find the lengths of AD, EF, and BC in the trapezoid below.

Find the lengths of AD EF and BC in the trapezoid below class=

Respuesta :

r3t40
r3t40 r3t40
  • 10-08-2021

We know that,

[tex]EF=\dfrac{AD+BC}{2}[/tex]

which is

[tex]x=\dfrac{x-5+2x-4}{2}[/tex]

Now solve for x,

[tex]x=\dfrac{3x-9}{2}[/tex]

[tex]2x=3x-9[/tex]

[tex]x=9[/tex]

Since x is 9, the lengths are,

[tex]AD=x-5=9-5=\boxed{4}[/tex]

[tex]EF=x=\boxed{9}[/tex]

[tex]BC=2x-4=18-4=\boxed{14}[/tex]

Hope this helps :)

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