Respuesta :

Answer:   x = 8

Work Shown:

I think your teacher meant to say "CA is the perpendicular bisector of BD"

BD is cut in half getting the two equal smaller pieces BC and CD

BC = CD

5x-11 = 3x+5

5x-3x = 5+11

2x = 16

x = 16/2

x = 8

As a check,

BC = 5x-11 = 5*8-11 = 40-11 = 29

CD = 3x+5 = 3*8+5 = 24+5 = 29

Both BC and CD are 29 units long, so this confirms our answer.

Answer:

x = 8

Step-by-step explanation:

The two sides are going to be the same measure.

Do this to find x.

5x - 11 = 3x + 5 (subtract 3x on both sides)

2x - 11 = 5 (add 11 on both sides)

2x = 16 (divide by 2 on both sides)

x = 8

Hope this helps ya!