Analyze the diagram below and complete the instructions that follow. Find the value of x and the value of y.
A. X= 23.y=413
B. 1 = 3, y = 613
C. = 6/3, y = 12
D. x= 23, y = 6

x = , y = ⇒ A

Step-by-step explanation:

In the 30°-60°-90° triangle, there is a ratio between its three sides

→  30°  :  60°  :  90°

→  1      :    :   2

In the given figure

∵ The length of the hypotenuse is y

∵ The length of the side opposite to the angle of measure 30° is x

∵ The length of the side opposite to the angle of measure 60° is 6

→ By using the ratio above

→  30°  :  60°  :  90°

→  1      :    :   2

→  x      :   6    :   y

→ By using cross multiplication

∵ x × = 1 × 6

∴ x  = 6

→ Divide both sides by

∴ x =

→ Simplify it by multiplying up and down by

∴ x =

∴ x =

∵ y × = 6 × 2

∴ y  = 12

→ Divide both sides by

∴ y =

→ Simplify it by multiplying up and down by

∴ y =

∴ y =

is only a line? i think so

3

step-by-step explanation: