When two secants intersect, the following property is satisfied:
[tex]ab=cd[/tex]Therefore, from the information provided on the diagram:
[tex]9z=14\times4[/tex]Solve for z:
[tex]\begin{gathered} z=\frac{14\times4}{9} \\ \Rightarrow z=\frac{56}{9} \end{gathered}[/tex]Therefore, the value of z is:
[tex]z=\frac{56}{9}[/tex]
