Question

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

Answer 1

9514 1404 393

Answer:

• x = 2
• YZ = 10

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