Question

what is the value of z?
v
w
z+17
2z
u
x
z =
submit
work it out
not feeling ready yet? these can help:

Explanation:

Step1: Apply the property of equal chords

In a circle, equal - length chords are equidistant from the center. Here, chords \(UV\) and \(WX\) are marked as equal (by the tick - marks). So, their lengths are equal.
The length of chord \(UV=z + 17\) and the length of chord \(WX = 2z\).
Set up the equation \(z+17=2z\).

Step2: Solve the equation for \(z\)

Subtract \(z\) from both sides of the equation \(z+17=2z\).
\(z+17−z=2z−z\).

Answer:

\(17\)