By the binomial theorem,

I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that
12 - 3k = 0 ===> 3k = 12 ===> k = 4
which corresponds to the constant coefficient

Answer:
C
Step-by-step explanation:
You are choosing 3 from a total of 12. Order does not matter. So you are working with combinations. The answer symbolically is
12C3
12C3 = 12!/(9!3!)
12C3 = 12 * 11 * 10 * 9!/(9! 3!)
12C3 = 12 * 11 * 10/6
12C3 = 2 * 11 * 10
12C3 = 220
Supplementary angles add to 180
4+5=9
180/9=20
4*20=80
5*20=100
the angles are 80 degrees and 100 degrees
Answer:
The sun is 9.2549 x 10^-7 miles from the earth
NOTE: I don't know how many significant figures you are needing/given.
Step-by-step explanation:
The earth is 92.549 million miles from the sun.
92 549 000 miles from the sun.
Move the decimal place left until you're right after the first significant figure.
9.2549 x 10^-7