The calculated value of z using the theorem of intersecting chords is 5.6
How to determine the value of z
From the question, we have the following parameters that can be used in our computation:
The circle and the intersecting chords
Using the theory of intersecting chords, we have
z * 5 = 7 * 4
Evaluate the products
5z = 28
So, we have
z = 28/5
Evaluate
z = 5.6
hence. the value of z is 5.6