Answer:
₂₁C₉ = 293930
Step-by-step explanation:
9 members out of 21 senators will be selected on the subcommittee on Economy Policy
So we are in case of combinations of 21 people in groups of 9
₂₁C₉ =21! /( (21-9)!) *9! ⇒21*20*19*18*17*16+15*14*13*12! /(21-9)! *9!
=21*20*19*18*17*16*15*14*13/ 9! ⇒ = 19*2*17*15*14*13/6 ⇒ =293930
Answer:
A. n = 5
Step-by-step explanation:
S = n² + n
When S = 30:
n² + n = 30
Subtract 30 from both sides: n² + n - 30 = 0
Factorize: (n - 5)(n + 6) = 0
Therefore n = 5 or -6
As n > 2, then n = 5 only
Answer:
Step-by-step explanation:
Supplementary angles are angles equal to 180°.
Therefore:
Now that we have our equation, let's distribute the 
and the 
into the parentheses they are next to:
Combine like terms:
Subtract 
from both sides of the equation:
Divide by the coefficient of 
, which is 
:
~
Check your work by substituting 
into one of the equations above:
It's correct!
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