Quadrilateral STUV is a rectangle, SU=z+53, and TV=2z. What is the value of z?TSVURz=Submit

Recall that the diagonals of a rectangle are congruent. Therefore, we can set the following equation:
[tex]z+53=2z.[/tex]Solving the above equation for z, we get:
[tex]\begin{gathered} 2z-z=53, \\ z=53. \end{gathered}[/tex]