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\bigskip

Math Club

Meeting 0

January 25, 2007

\bigskip

\begin{enumerate}
\item We start with an isosceles triangle with angles 50 degree, 50 degree,
and 80 degree measures. From the base, we measure $10^{\circ }$ and 20
degrees as shown. What is the measure of the x angle?

\item 10 steps starway at any point, we 
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can step up 1 or two steps, ( we never step down). How many different ways
can we go up?

\item Let $m$ and $n$\textit{\ }be positive integers. Define set $\ 
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A=\{\U{3b1} m+\U{3b2} n$ where $\U{3b1} ,\U{3b2} $ are all integers\}.
\end{enumerate}

Let $a$ be the smallest positive number in $A$. Prove that $a$ is a divisor
of every element.

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