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Mathematics

2 answers:

castortr0y [4]2 years ago

4 0

Answer:

x = 67°

Step-by-step explanation:

All angles inside a triangle add up to 180 so...

180 - 46 = 134

134 ÷ 2 = 67

Llana [10]2 years ago

3 0

180-46=134
134/2=67
x=67

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Find a_1 and d for an arithmetic sequence with these terms. a_4=9and a_7=18

jonny [76]

$\bf \begin{array}{llll}
term&value\\
-----&-----\\
a_4&9\\
a_5&9+d\\
a_6&(9+d)+d\\
&9+2d\\
a_7&(9+2d)+d\\
&9+3d=\underline{18}
\end{array}\\\\
-------------------------------\\\\
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$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=3
\end{cases}
\\\\\\
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\\\\\\
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