Answer: z=5.6
Step-by-step explanation:
In the given picture there are 2 chords in the circle intersecting each other.
By intersecting chord theorem
[tex]7\times4=5\times\ z\\\\\Rightarrow\ z=\frac{7\times4}{5}\\\\\Rightarrow\ z=\frac{28}{5}\\\Rightarrow\ z=5.6[/tex]
- Intersecting chord theorem tells that when two chords intersect each other inside a circle, the products of their segments are equal.
