Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Consider parallelogram ABCD with diagonal BD. What values of x and y prove that the parallelogram is a square if CD=20, AD=8x−4, and ∠CBD=4y−3?


a. X = 2, y = 12

b. X = 2, y = 23. 5

c. X = 3, y = 12

d. X = 3, y = 23. 5


Sagot :

Answer: C

Step-by-step explanation:

For the parallelogram to be a square, all sides must have equal measure and all angles must be right.

This means that CD=AD -> 20=8x-4 -> 24=8x -> x=3

And 4y-3=45 -> 4y=48 -> y=12