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iris [78.8K]
3 years ago
10

Amy, who is 17 years old, is 5 years older than twice moe's age

Mathematics
1 answer:
Semenov [28]3 years ago
4 0
17+x5=22
22/2=11 years old
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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 
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\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
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180n-360=150n\implies 30n=360\implies n=\cfrac{360}{30}\implies n=12
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