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what is the measure of the indicated central angle?

a) 10 degrees

b) 15 degrees

c) 20 degrees

d) 25 degrees

e) none of the above

Explanation:

The radius of the circle is 24, so the circumference is

C = 2*pi*r

C = 2*pi*24

C = 48pi

The whole distance around the circle (perimeter) is exactly 48pi units

However, we only want 2pi of those units as the arc length shows

Divide 2pi over 48pi, and reduce

(2pi)/(48pi) = 1/24

So the arc shown is 1/24th of a full 360 degree revolution. Meaning we multiply the fraction 1/24 by 360 to get

(1/24)*360 = 360/24 = 15

The arc measure is 15 degrees which is equal to the measure of the central angle as well.

answer:  

step-by-step explanation:

odd numbers are only divisible by 1 and itself.

even numbers are divisible by more than 1 and itself.

for example 6 is even because it is divisible by more than 1 and its self. 1 x 6= 6 ; 2 x 3= 6

and 7 is odd because only 7 x 1 equals seveb

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

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this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years