Question

What is the value of z?

Answer 1

Hi there!

Your question is mistaken. You must have meant to ask for the value of x.

By definition of a parallelogram, we know that there must be two pairs of parallel sides. We also know that a parallelogram will follow this form:

See attachment.

Therefore, we know that $6x-15=x+15$. Let's solve:

$6x-15=x+15$

$5x-15=15$ Subtract x from both sides.

$5x=30$ Add 15 to both sides. Now the variable is isolated.

$x=6$ Divide both sides by 5.

So as you can see, x = 6. If you tried to solve this and got a negative solution, remember that lengths and distances can never be negative (e.g. I can't go -5 miles; a square can't have a length of -3 feet, etc.).

Hope this helps! :^)

Answer 2

Answer:

x=6

Step-by-step explanation:since the opposite triangles are congruent, they are equal. so 6x-15=x+15. Then i cancelled the negative 15 on the the left by adding 15. So i was left with 6x=x+30. Then you subtract the x on the right from the 6 x and you are left with 5x=30. 30 divided by 5 is 6. X=6