There are
ways of building a subset of
elements from
, so the total number of subsets you can build is

Recalling the binomial theorem, the above sum is equal to

as required.
20 bags of popcorn they were sharing
Answer:

Step-by-step explanation:
According to trapezoid mid-segment theorem:


LM = 22/2
LM = 11
Answer:

Step-by-step explanation:
Let y = m∠Y.
Then 90 - y = the complement of ∠Y
And 3(90 - y) = three times the complement of ∠Y
And 3(90 - y) + 6 = six more than three times the complement of ∠Y.

Answer:
q = 0
Step-by-step explanation:
8q + 12 = 4( 3 + 3q )
Distributive property
8q + 12 = 4 ( 3 + 3q )
8q + 12 = 12 + 12q
Inverse operations
8q + 12 = 12 + 12q
-8q -8q
12 = 12 + 4q
-12 -12
0 = q
q = 0