Question

Find EF in the trapezoid ? What is EF= equal too

Answer 1

Answer:

|EF|=18

Step-by-step explanation:

Using the mid-segment theorem of a trapezoid, $|EF|=\frac{1}{2}(|AD|+|BC|)$

We substitute the expressions for the sides and solve for x.

$4x+6=\frac{1}{2}(6+9x+4)$

This implies that:

$4x+6=\frac{1}{2}(9x+9)$

Multiply through by 2 to get:

$8x+12=9x+9$

Group and combine like terms to get:

$12-9=9x-8x$

$x=3$

$|EF|=4(3)+6=18$