rylanmiller2004 rylanmiller2004
  • 21-07-2020
  • Mathematics
contestada

EF is a median of trapezoid ABCD. What is the value of x?

EF is a median of trapezoid ABCD What is the value of x class=

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jimrgrant1 jimrgrant1
  • 21-07-2020

Answer:

x = 4

Step-by-step explanation:

The midsegment ( median is equal to half the sum of the parallel bases, that is

[tex]\frac{AB+CD}{2}[/tex] = EF, substitute values

[tex]\frac{4x-10+3x+8}{2}[/tex] = 13 ( multiply both sides by 2

7x - 2 = 26 ( add 2 to both sides )

7x = 28 ( divide both sides by 7 )

x = 4

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