Question

BCDE is a parallelogram with diagonals EC¯¯¯¯¯¯¯¯ and BD¯¯¯¯¯¯¯¯ that intersect at point A.

If BA=4x and AD=15x−22, solve for x.

Answer 1

Explanation:

In a parallelogram, the diagonals bisect each other.

So, AD = BA

15x - 22 = 4x

Add 22 to both sides

15x = 4x + 22

Now, subtract 4x from both sides

15x - 4x = 22

11x = 22

Divide both sides by 11

x = 22/11

x = 2