👤
Answered

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=

Answer :

AKPOSEVICTORIN

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

In Trainings: Other Questions