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Readme [11.4K]
3 years ago
12

Given:3x-4=8 prove x=4

Mathematics
1 answer:
anastassius [24]3 years ago
3 0

Hi!

Okay, so to prove that x = 4, all you have to do is insert 4 into the equation by replacing x with 4.

3x-4=8

3(4)-4=8

Now solve:

12-4=8

8=8

This is true, so x does equal 4.

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So... let's say the smaller regular octagon has sides of "x" long, then the larger octagon will have sides of 5x.

\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
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\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\

\bf \cfrac{small}{large}\quad \stackrel{area~ratio}{\cfrac{s^2}{s^2}}\implies \stackrel{area~ratio}{\cfrac{x^2}{(5x)^2}}\implies \stackrel{area~ratio}{\cfrac{x^2}{5^2x^2}}\implies \stackrel{area~ratio}{\cfrac{\underline{x^2}}{25\underline{x^2}}}=\stackrel{area~ratio}{\cfrac{35}{a}}
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\cfrac{1}{25}=\cfrac{35}{a}\implies a=\cfrac{25\cdot 35}{1}
3 0
4 years ago
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Black_prince [1.1K]

Answer:

A. 4+ 13w and C. 2(2+6w) + w

Step-by-step explanation:

Hope this helps! They equal the same answer which is 13w + 4

6 0
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