Use similar triangles

  OX ≈ 7.09 units

Step-by-step explanation:

Triangles OBX and OPD are similar, so corresponding sides are proportional.

  OX/OD = OB/OP

We are given that OD +OX = 13, so we can write this proportion as ...

  OX/(13 -OX) = 12/10

  10·OX = 12(13 -OX) . . . . multiply by 10(13 -OX)

  22·OX = 156 . . . . . . add 12·OX and simplify

  OX = 156/22 = 7 1/11 ≈ 7.09091

  OX ≈ 7.09 units

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!