Answer:
, 
Step-by-step explanation:
we know that
In a parallelogram, opposite angles are congruent and consecutive angles are supplementary
so
----> equation A
-----> equation B
we have
substitute in the equation B and solve for m<R
-----> substitute in equation A
have an arithmetic sequence here....to find the common difference, subtract the first term from the second term. 13 - 3 = 10...so basically, ur adding 10 to each number to get to the next number.
before we find s5, we r going to find a5...because we need a5 to use in the sum formula.....a5 is the fifth term, and it is 43
sn = (n (a1 + a5) / 2
s5 = (5 (3 + 43) / 2
s5 = (5 (46)) / 2
s5 = 230/2
s5 = 115 <===
or, for this particular problem, s5 is the sum of the first 5 terms.
3 + 13 + 23 + 33 + 43 = 115.....u can do it this way for s5...but if u were asked to find s20, I suggest using the formula.
8.3% since 8.3 times 12 equals 100 you would multiply by 1 and that would make it the percent.
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Answer:
see explanation
Step-by-step explanation:
(1)
p + q
= 2i - j + i + j ← collect like terms
= 3i
(2)
p - q
= 2i - j - (i + j) ← distribute parenthesis by - 1
= 2i - j - i - j ← collect like terms
= i - 2j
(3)
2p - 3q
= 2(2i - j) - 3(i + j) ← distribute parenthesis
= 4i - 2j - 3i - 3j ← collect like terms
= i - 5j
