Question

10) Refer to - DEFG

Answer 1

Answer:

$EF = 12$

$DG = 12$

Step-by-step explanation:

See attachment for complete question.

From the attachment:

$EF = 4x$

$FG = 3y + 7$

$GD = x + 9$

$DE = 4y$

Required

Solve for EF and DG

EFGD is a parallelogram. So:

$EF = DG$ --- opposite sides

$FG = DE$ --- opposite sides

Substitute values for EF and DG in $EF = DG$

$4x = x + 9$

Collect Like Terms

$4x - x = 9$

$3x = 9$

Divide both sides by 3

$x = \frac{9}{3}$

$x = 3$

Substitute 3 for x in $EF = 4x$

$EF = 4 * 3$

$EF = 12$

$EF = DG$

$DG = EF$

$DG = 12$