Use these tables. What is the value of f(g(2))? A. -2

B. -3

C. 16

D. 0

 16 (choice C)

Explanation:

The second table shows that g(2) = -3. Simply locate 2 in the x column, then read directly across to determine its output.

The notation f( g(2) ) then updates to f( -3 ) after replacing g(2) with -3.

Then we use the first table to see that f(-3) = 16

Ultimately, f( g(2) ) = 16

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 :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value