Eaglesrule11
Eaglesrule11 Eaglesrule11
  • 10-12-2020
  • Mathematics
contestada

In circle Z, the diameter XY = 12x – 4, ZY = 3x + 4.
Find the value of x and YZ.

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sqdancefan
sqdancefan sqdancefan
  • 10-12-2020

9514 1404 393

Answer:

  • x = 2
  • YZ = 10

Step-by-step explanation:

The diameter is twice the radius, so ...

  XY = 2·ZY

  12x -4 = 2(3x +4) . . . . substitute the given expressions

  12x -4 = 6x +8 . . . . . . eliminate parentheses

  6x = 12 . . . . . . . . . . . . add 4-6x

  x = 2

  YZ = 3x+4 = 3(2) +4

  YZ = 10

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