In the figure below, if C is the center of the circle and 30 < C < 60, then which of the following expresses all possible values of a?

Select one:

A. 50
B. 60 < a < 70

C. 60 < a < 75

D. 75 < a < 90

E. 100 < a < 115

Option C.

Step-by-step explanation:

In the given figure C is the center of the circle.  

Let A and B are two points on the circle, such that

Since CA and CB are radius of the circle, therefore ABC is an isosceles triangle.

Using angle sum property,

Divide both sides by 2.

It is given that

    (Subtract from 180)

     (Divide by 2)

Hence, the correct option is C.

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours

1.) 21

2.) 0.453

3.) 1.5

4.) 48

5.) $ 22

step-by-step explanation: