Answer:
a=109° b=71°
Step-by-step explanation:
All the angles in a parallelogram add up to 360. There are a few rules:
The opposite angles are congruent.
Consecutive angles are congruent.
We can apply these rules here.
71 is opposite to b
and a is consecutive to 71 so we can put together these equations.
180=71+a
71=b
we can simplify to get the answers
the end
A
this is a geometric sequence since there exists a common ratio r between the terms
r =
=
=
= 3
B
to obtain the next term in the sequence multiply the previous term by 3
= 3
← recursive rule
C
the n th term of a geometric sequence is
=

where
is the first term in the sequence
= 7 ×
← explicit rule
Answer:2 1/2 + 1/3 = 5/2 + 1/3 = 15/6 + 2/6 = 17/6 cup
(2/6)/(17/6) = (2/6)(6/17) = 2/17 (two parts in 17), or 11.8%
1 2/3 + 1/4 = 5/3 + 1/4 = 20/12 + 3/12 = 23/12 cup
(3/12)/(23/12) = (3/12)(12/23) = 3/23 (three parts in 23), or 13.04%
Step-by-step explanation:
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