Question

if $zx = 74$ and $wy = 48$, find $vx$ and $zw$.
$vx =$
$zw =$
find $m\angle dbc$ and

Explanation:

Step1: Identify parallelogram diagonal property

In a parallelogram, diagonals bisect each other. So $VX = \frac{1}{2}ZX$, and $ZW$ is not determined by the given diagonal lengths (we assume the figure is a parallelogram, so $ZW=XY$, but we only can solve for $VX$ with given data; note: the problem may imply $ZW$ is not calculable, but based on diagonal bisector for $VX$):

Step2: Calculate VX

$VX = \frac{1}{2} \times ZX = \frac{1}{2} \times 74 = 37$

Step3: Assess ZW

No side length data is given, so $ZW$ cannot be determined with the provided information. However, if we assume the problem expects using the parallelogram side equality, but since no side is given, we state the calculable value first.

Answer:

$VX = 37$
$ZW$ cannot be determined with the given information.

Note: If the figure is confirmed as a parallelogram, $ZW$ is equal to $XY$, but no values for sides are provided to compute it. Only $VX$ can be found from the diagonal bisector property.