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xenn [34]
3 years ago
11

3x-7= 5x-19 justify the each step

Mathematics
2 answers:
Svetlanka [38]3 years ago
6 0
1. add a negative 5x to both sides
2. add seven to both sides
3. there is your answer.
Troyanec [42]3 years ago
6 0
3x-7=5x-19
-3x   -3x
-7=2x-19
19     +19
12=2x
/2   /2
6=x
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Check the picture below.

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\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\stackrel{\qquad degrees}{\cot\left( \frac{180}{n} \right)}~~ \begin{cases} n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{side}\\[-0.5em] \hrulefill\\ n=6\\ s=12 \end{cases}\implies A=\cfrac{1}{4}(6)(12)^2\cot\left( \frac{180}{6} \right) \\\\\\ A=216\cot(30^o)\implies A=216\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the hexagon}}{(216\sqrt{3})}~~\stackrel{height}{(10)}\implies 2160\sqrt{3}~~\approx ~~3741.2~cm^3

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