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16 votes
16 votes
Find EF in the trapezoid. What is EF?

Find EF in the trapezoid. What is EF?-example-1
User XTheWolf
by
3.4k points

1 Answer

24 votes
24 votes

The middle line is equal to 1/2(top + bottom)

3x + 6 = 1/2(5 + 7x + 5)

3x + 6 = 1/2(7x + 10)

Expand the right side:

3x + 6 = 7x/2 + 5

Subtract 6 from both sides:

3x = 7x/2 -1

Multiply both sides by 2

6x = 7x -2

Subtract 7x from both sides

-x = -2

Multiply both sides by -1

X = 2

Now you have a value for x solve for EF:

EF = 3(2) + 6 = 6 + 6 = 12

Answer: EF = 12

User Juzer Ali
by
2.3k points