Question

FWML is a parallelogram. Find the values of x and y. Solve for the value of z, if z=x−y

Answer 1

Answer:

$x=5$

$y=8$

$z=-3$

Step-by-step explanation:

We have been given a parallelogram. We are asked to solve for the values of x and y.

We know that opposite sides of parallelogram are equal, so we can set equation as:

$3x-3=x+7$

$3x-x-3=x-x+7$

$2x-3=7$

$2x-3+3=7+3$

$2x=10$

$\frac{2x}{2}=\frac{10}{2}$

$x=5$

Similarly, we will solve for y.

$2y-6=y+2$

$2y-y-6=y-y+2$

$y-6=2$

$y-6+6=2+6$

$y=8$

To solve for z, we will subtract y from x as:

$z=x-y\\z=5-8\\z=-3$

Therefore, the value of z is negative 3.