Which fraction is equivalent to -1/6?

Mathematics

1 answer:

Scilla [17]3 years ago

5 0

Answer:

1/-6

Step-by-step explanation:

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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

Over [174]

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

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

7 0

3 years ago

Read 2 more answers

During a sale, a store offered a 20% discount on a TV that originally sold for $710. After the sale, the discounted price of the

Mademuasel [1]

Answer:

$681.60

Step-by-step explanation:

Given:

During a sale, a store offered a 20% discount on a TV that originally sold for $710. After the sale, the discounted price of the TV was marked up by 20%

To Find:

What was the price of the TV after the markup? Round to the nearest cent.

Solution:

$710 × (1 + 20%) × (1 - 20%)

$710 × 1.2 × (1-0.2)

$710 × 1.2 × 0.8

($710 × 1.2) × 0.8

852 × 0.8

= $681.60

Kavinsky

4 0

2 years ago