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Mandarinka [93]
3 years ago
13

Please help I need the right answer and I will mark you as brainlist if done right

Mathematics
1 answer:
Mademuasel [1]3 years ago
4 0
(-3,1) is the answer.
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3 years ago
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\bf \qquad \qquad \textit{sum of a finite arithmetic sequence}\\\\&#10;S_n=\cfrac{n}{2}(a_1+a_n)\quad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\ a_n=n^{th}~value\\&#10;----------\\&#10;\stackrel{least}{a_1}=128\\\\&#10;\stackrel{greatest}{a_n}=172&#10;\end{cases}

\bf S_n=\cfrac{n}{2}(128~+~172)\implies S_n=\cfrac{n}{2}(300)\implies S_n=150n&#10;\\\\\\&#10;\textit{but we also know that sum of all interior angles is }180(n-2)&#10;\\\\\\&#10;\stackrel{\textit{sum of the angles}}{S_n}=\stackrel{\textit{sum of the angles}}{180(n-2)}=150n&#10;\\\\\\&#10;180n-360=150n\implies 30n=360\implies n=\cfrac{360}{30}\implies n=12
7 0
3 years ago
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miskamm [114]

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Step-by-step explanation:

Hope this helps you! Have a good day!

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The oldest cousin should be 10. If their ages are consecutive even whole numbers, then the younger cousins should be 2 & 4. 2+4=6+10=16
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3 years ago
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