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WINSTONCH [101]
3 years ago
9

Using the figure below find what m<_7 equals. (show work if possible)

Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0

Answer:

68

Step-by-step explanation:

m7 + m8 = Straight line = 180

So, m7 = 180 - 112 = 68

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\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad  \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1=\frac{1}{2}\\ n=8 \end{cases} \\\\\\ S_8=\cfrac{1}{2}\left( \cfrac{1-2^8}{1-2} \right)\implies S_8=\cfrac{1}{2}\left( \cfrac{-255}{-1} \right)\implies S_8=\cfrac{255}{2}

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