Question

value: 2
find the length of vz.
z w
5x - 8
3x
v
2x + 10
y x
a. 10
b. 60
c. 42
d. 30

Explanation:

Step1: Set up an equation

Since the diagonals of a parallelogram bisect each other, we have $3x=2x + 10$.
$3x-2x=2x + 10-2x$
$x = 10$

Step2: Find the length of VZ

The length of VZ is given by $5x-8$. Substitute $x = 10$ into the expression.
$VZ=5\times10-8=50 - 8=42$

Answer:

C. 42