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Olin [163]
2 years ago
5

What is the value of n?

Mathematics
2 answers:
suter [353]2 years ago
5 0
133  = 38 + m angle adjacent to n  (exterior angle of triangle theorem)
so m this angle =  133 - 38 = 95 degrees
Thus m  n = 180 - 95  = 68 degress

Its option A.

erica [24]2 years ago
4 0
<span>An exterior angle of a triangle is equal to the sum of the opposite interior angles
</span>
so
n = (180 - 133) + (180 - 142)
n = 47 + 38
n = 85

answer is A. 85
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In A, the first term is 456 and the common difference is 10.  Each time we have a new term, the next one is the same except that 10 is added.

Suppose n were 1000.  Then we'd have 456 + (1000)(10) = 10456

In B, the first term is 5 and the common ratio is 3.  From 5 we get 15 by mult. 5 by 3.  Similarly, from 135 we get 405 by mult. 135 by 3.  This is a geom. series with first term 5 and common ratio 3.   a_n = a_0*(3)^(n-1).
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Can you now examine C and D in the same manner, and then choose the greatest final value?  Safe to continue using n = 1000.





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