What is the angle of rotation counterclockwise about the spinner's center that maps label g to label b?
108
144
180
216

The answer is:

The angle of rotation counterclockwise about the spinner's center that maps label g to label B is 180° .

Step-by-step explanation:

The angle of rotation counterclockwise about the spinner's center that maps label g to label B is 180° .

Look at the attached picture of a spinner:

We know that the angle formed by a straight line is  equal to 180°

So, in order to map label g to label B we have to set the needle of the spinner straight. Hence the angle formed by the needle is 180°

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)