roxrowl roxrowl
  • 04-05-2021
  • Mathematics
contestada

HELP PLEASE!

In this figure shown, EF is the mid segment of trapezoid ABCD. Find EF.

HELP PLEASE In this figure shown EF is the mid segment of trapezoid ABCD Find EF class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 09-05-2021

Answer:

x = 2

Step-by-step explanation:

EF = ½(BC + AD) => Trapezoid Midsegment theorem

Substitute

5x + 4 = ½((4x + 1) + (7x + 5))

5x + 4 = ½(4x + 1 + 7x + 5)

Multiply both side by 2

2(5x + 4) = 4x + 1 + 7x + 5

10x + 8 = 4x + 1 + 7x + 5

10x + 8 = 11x + 6

Collect like terms

10x - 11x = -8 + 6

-x = -2

Divide both sides by -1

x = 2

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