Answer:
Each shade has a 22.5 degree angle from the middle
Each unshaded has a 67.5 degree angle from the middle.
Step-by-step explanation:
You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:
x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360
Combine Like terms:
16/3x = 360
Multiply both sides by the opposite:
(3/16) (16/3x) = (360) (3/16)
x=135/2 or x=67.5
Then you can plug 67.5 in for x:
1/3x ---> 1/3(67.5) = 22.5
Answer:
A. 
Step-by-step explanation:
We have been given a diagram. We are asked to find the measure of angle ABC.
First of all, we will find measure of major arc AC by subtracting 146 from 360 degrees.


Now, we will use tangent-tangent angle theorem to solve for ABC.
Tangent-Tangent angle theorem states that angle formed by two tangents outside a circle is half the difference of intercepted arcs.



Therefore, the measure of angle ABC is 34 degrees and option A is the correct choice.
Answer: 
Step-by-step explanation:
The given geometric series are:
a)
on simplifying in decimals, we get

b) 
on simplifying in decimals, we get

c)
on simplifying in decimals, we get

Thus, this geometric series represent 0.4444.
d)
on simplifying in decimals, we get

His conclusion wouldn't be valid because he didn't apply them on the same day. So, Brand A if applied first would be ahead of brand B which was applied 5 days later. Hope this helped!