Answer
1.2
Work Step by Step
We see that angle VWZ equals angle Y, for right angles are congruent. In addition, angle Z is congruent to itself by the identity property. Thus, by AA, triangles XYZ and WVZ are similar. Since CSSTP, we can make a proportion. Since V is a midpoint, we obtain:
$\frac{5}{2} = \frac{3}{VW} \\ VW = 1.2$