Acarousel has 30 cars. determine the angle of rotation that maps #6 to car #19.

 The answer is 260°.

Step-by-step explanation: Given that a Carousel has 30 cars. We need to find the angle of rotation which maps car no. 6 to car no. 19.

Now, the Carousel will make a regular polygon with 30 sides and each car as a vertex.

So, angle of symmetry for the polygon is

Number of sides from car 6 to car 19 = 19 - 6 = 13.

Therefore, the angle of rotation that maps car 6 to car 19 is given by

Thus, the required angle of rotation is 260^\circ.

b

step-by-step explanation:

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11