Find the value of x and y in the diagram below. A. X= 9/2, y = 9
B. x = 18, y = 9-13
C. X= 9/3, y = 4.5
D. = 6/3, y = 3/5

D) x=6√3, y=3√3

Step-by-step explanation:

Given both triangles are 30-60-90 triangles, this means that the length of y will be 9/√3=√81/√3=√(81/3)=√27=3√3

This also means that x will be twice the length of y which means x=2y=2(3√3)=6√3

This means that the correct answer is D) x=6√3, y=3√3

Refer to the diagram below to understand where I got these lengths.

linear pair postulates