(a)
= 4n + 8
(b) row 13 has 60 seats
(a)
the sequence of seats is an arithmetic sequence whose n th term is
=
+ (n - 1 )d
where
is the first term and d the common difference
here the sequence is 12, 16, ....
with
= 12 and d = 16 - 12 = 4, thus
= 12 + 4( n - 1 ) = 12 + 4n - 4 = 4n + 8
(b)
calculate the number of rows n when 60 seats
solve 4n + 8 = 60 ( subtract 8 from both sides )
4n = 52 ( divide both sides by 4 )
n = 13 ← number of rows
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
First, let's establish that, they are co-interior angles on parallel lines. We can identify this as they form a 'C' shape on parallel lines.
Co-interior angles add up to 180°.
Therefore:
( x + 27 )° + ( 3x - 25 )° = 180°
x + 3x = 180 - 27 + 25
4x = 178
x = 178 / 4
x = 89 / 2
x = 44.5°
Hope this helps! <3
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