Which of the following equations are equivalent? Select three options.

Mathematics

1 answer:

sesenic [268]3 years ago

5 0

No matter how much life puts you down get back up and try again go with what your gut tells you. :) <3

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The measures of the angles of a convex polygon form an arithmetic sequence. The least measurement in the sequence is 128º. The g

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$\bf \qquad \qquad \textit{sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n}{2}(a_1+a_n)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\ a_n=n^{th}~value\\
----------\\
\stackrel{least}{a_1}=128\\\\
\stackrel{greatest}{a_n}=172
\end{cases}$

$\bf S_n=\cfrac{n}{2}(128~+~172)\implies S_n=\cfrac{n}{2}(300)\implies S_n=150n
\\\\\\
\textit{but we also know that sum of all interior angles is }180(n-2)
\\\\\\
\stackrel{\textit{sum of the angles}}{S_n}=\stackrel{\textit{sum of the angles}}{180(n-2)}=150n
\\\\\\
180n-360=150n\implies 30n=360\implies n=\cfrac{360}{30}\implies n=12$

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3 years ago

Read 2 more answers

In Triangle XYZ, X = 5.9 meters, y = 8.9 meters, and z = 5.8 meters. Find the remaining measurements of the triangle, and round

spayn [35]

The answers is 48.2. Because x=60.2 x 91.2=48.2

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2 years ago

My estimate was 2,808 is that a reasonable estimate and why

vova2212 [387]

<span>My estimate was 2,808 is that a reasonable estimate and why

312*9

9*2=18>>9*10=90>>9*300=2700

2700+18+90=>>2,808</span>

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