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

Quadrilateral STUV is a rectangle, SU=z+53, and TV=2z. What is the value of z?TSVURz-example-1

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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.

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