Me answer this question!

boyd (b) is trapped in a soccer training circle. albert (a) and carlos (c) kick the ball to boyd in rotation. determine how far boyd needs to kick the ball to carlos if he is located in the center of his training circle and carlos is located at the outer rim.

Here we have right-angle triangle. Sides are:
AB = 19+x
BC= x
AC= 30

From the picture we can see that side AB is hypothenuze. We are given number 19 as part of length of that hypothenuze. Other part is equal to distance from center to edge of circle. This length is same as side BC.

We will use Pythagorean theorem to solve this:

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c