Let
S------> The sum of the measures of the interior angles of a polygon
n-------> number of sides of a polygon
we know that
The formula to find the sum of the measures of the interior angles of a polygon is equal to
°
in this problem
°
Solve for n
therefore
the answer is
So average=(total of scores)/(number of tests)
needs at least average of 70
at least is represented as greater than or equal to or the sign (<u>></u>)
70<u>></u>(total)/(number oftests)
since we have 3 tests, we have to have 3 scores so
70<u>></u>(x+y+z)/3
he scored 85 and 60
70<u>></u>(x+85+60)/3 (doesn't matter which to subsitute)
70<u>></u>(x+145)/3
multiply obht sides by 3
210<u>></u>x+145
subtract 145 from both sides
65<u>></u>x
he needs to get at leas 65 on his third test
D
the n th term (explicit ) formula for a geometric sequence is
= 
The given explicit formula therefore has
= 5 and r = - 
The recursive formula, allows us to find the next term in the sequence from the previous term
Here the next term in the sequence is obtained by multiplying the previous term by -
= 
(- ) with = 5
Assuming this question is trying to enquire as to how many bottle of
water there are in each case, you simply need to divide 162 by 9 to find
the answer, which is that there are 18 bottles of water in each case.
