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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.

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!

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!

1

step-by-step explanation:

it's the only multiple of both and the least