Find the value of y.

y=8

This is a 30-60-90 triangle which follows a specific rule.

Under this rule; the side containing the 60 and 90 angles is x, the side containing the 30 and 90 angles is x sqr root 3, and the side containing the 60 and 30 angles is 2x.

We are given the side that contains the 30 and 90 angles and therefore we know that is the same as x sqr root 3. Since it’s given as 4 sqr root 3 we can solve for x and get 4 for x.

We need to know the side that contains the 30 and 60 angles. Since this is 2x we can multiply what we got for x by 2. 2*4 is 8.

Therefore, y=8.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

step-by-step explanation:

there's the chart