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Nitella [24]
2 years ago
9

Classify the triangle as acute, right, or obtuse and classify it as equilateral, isoceles, or scalene.

Mathematics
2 answers:
julia-pushkina [17]2 years ago
8 0

Answer:

C

Step-by-step explanation:

An obtuse triangle has ONLY one greater-than-180 angle measure, so this fact rules out B. An equilateral triangle has 3 exact same sides and an isosceles triangle has 2 equal side lengths. Since the "tally marks" is all different, this mean it's neither equilateral nor isosceles, so this fact also rules out A and D. Since a scalene triangle has no equal side length, and the only option available is C. SO THE FINAL ANSWER IS C

Vsevolod [243]2 years ago
5 0
I think it’s the one with acute because it’s less than 90 degrees
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Find d for the arithmetic series with S17=-170 and a1=2
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So, we know the sum of the first 17 terms is -170, thus S₁₇ = -170, and we also know the first term is 2, well

\bf \textit{ sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
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\end{cases}
\\\\\\
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\\\\\\
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well, since the 17th term is that much, let's check what "d" is then anyway,

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=17\\
a_{17}=-22\\
a_1=2
\end{cases}
\\\\\\
-22=2+(17-1)d\implies -22=2+16d\implies -24=16d
\\\\\\
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