Question

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

Answer 1

Recall that the diagonals of a rectangle are congruent. Therefore, we can set the following equation:

$z+53=2z.$

Solving the above equation for z, we get:

$\begin{gathered} 2z-z=53, \\ z=53. \end{gathered}$

Answer:

$z=53.$