Supplement of angle z. z=42.1°
1 answer:
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Answer:
Aw don't cry <3
It would be easier if you use a website with a graph! There is a website called "desmos" and if you search up desmos graphing calculator you will find it. Type in the points in the website, and it would add in the points for you.
but here is a piece of key information:
Make into a decimal. That would be 0.75.
Since it says "of the way from", count the boxes in the graph from each point.
Hope this helps! ^.^
Answer:
see explanation
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
=
[2a + (n - 1)d ]
where d is the common difference and a is the first term
here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence
=
[(2 × 5) + 2(n - 1) ]
= (10 + 2n - 2)
= (2n + 8)
= n² + 4n
When sum = 165, then
n² + 4n = 165 ← rearrange into standard form
n² + 4n - 165 = 0 ← in standard form
(n + 15)(n - 11) = 0 ← in factored form
equate each factor to zero and solve for n
n + 15 = 0 ⇒ n = - 15
n - 11 = 0 ⇒ n = 11
but n > 0 ⇒ n = 11