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In the figure above, Error converting from MathML to accessible text. , and Error converting from MathML to accessible text. are parallel. Points B and E lie on Error converting from MathML to accessible text. and Error converting from MathML to accessible text., respectively. If AB = 9 , BC = 18.5 , and FE = 8.5, what is the length of Error converting from MathML to accessible text. to the nearest tenth?

  1. 16.8
  2. 17.5
  3. 18.4
  4. 19.6

The correct answer is: 17.5


    HINT :-  we know that the line intersecting the non parallel side  trapezium and is parallel to the parallel sides of trapezium then it divides the non parallel side in the same ratio. Using this we find ratio and find the length of ED .
    Given , AB = 9 ,BC = 18.5 and FE = 8.5
    The line intersecting the non parallel side  trapezium and is parallel to the parallel sides of trapezium then it divides the non parallel side in the same ratio. As AF , BE and CD are parallel.  Let the  be the line intersecting non parallel sides of trapezium ACDF .
    Then, We getfraction numerator AB with bar on top over denominator stack B C with bar on top end fraction equals fraction numerator FE with bar on top over denominator stack E D with bar on top end fraction
    Error converting from MathML to accessible text.
    Error converting from MathML to accessible text.

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