So.. let's say ∡AGB and ∡BGC are say "a" units wide, and ∡CGD and ∡DGE are "b" units wide
notice the picture below
all angles added up together, will make up just a flat line, or 180°
now, notice in the picture, the ∡BGD is really just " a + b " wide, notice the green angle in the picture of ∡BGD, well, we know what a + b is
A dozen is 12 and since 4 is a multiple of 12, I did 12 divided by 4 which is three. So i did 3.50 multiplied by 3 and the answer is 10.50
To find the dividend per share, we divide the total dividend amount by the total shares.
Dividend per share = 40,000 / 60,000
Dividend per share = $0.67
Your share = 100 x 0.67
Your share = $66.67
Answer: ![\displaystyle y= \frac{2\text{x}}{4\text{x} - 1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3D%20%5Cfrac%7B2%5Ctext%7Bx%7D%7D%7B4%5Ctext%7Bx%7D%20-%201%7D)
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Work Shown:
![8\text{x}y= 2(2\text{x} + y)\\\\8\text{x}y= 4\text{x} + 2y\\\\8\text{x}y - 2y= 4\text{x}\\\\y(8\text{x} - 2)= 4\text{x}\\\\y= \frac{4\text{x}}{8\text{x} - 2}\\\\y= \frac{2*2\text{x}}{2(4\text{x} - 1)}\\\\y= \frac{2\text{x}}{4\text{x} - 1}\\\\](https://tex.z-dn.net/?f=8%5Ctext%7Bx%7Dy%3D%202%282%5Ctext%7Bx%7D%20%2B%20y%29%5C%5C%5C%5C8%5Ctext%7Bx%7Dy%3D%204%5Ctext%7Bx%7D%20%2B%202y%5C%5C%5C%5C8%5Ctext%7Bx%7Dy%20-%202y%3D%204%5Ctext%7Bx%7D%5C%5C%5C%5Cy%288%5Ctext%7Bx%7D%20-%202%29%3D%204%5Ctext%7Bx%7D%5C%5C%5C%5Cy%3D%20%5Cfrac%7B4%5Ctext%7Bx%7D%7D%7B8%5Ctext%7Bx%7D%20-%202%7D%5C%5C%5C%5Cy%3D%20%5Cfrac%7B2%2A2%5Ctext%7Bx%7D%7D%7B2%284%5Ctext%7Bx%7D%20-%201%29%7D%5C%5C%5C%5Cy%3D%20%5Cfrac%7B2%5Ctext%7Bx%7D%7D%7B4%5Ctext%7Bx%7D%20-%201%7D%5C%5C%5C%5C)
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Explanation:
The idea is to first get all the y terms to one side. I did this by subtracting 2y from both sides in the third step.
Then factor out y and divide both sides by (8x-2)
Afterward there's the optional steps of simplifying (as shown in the final two steps).
Answer:
Step-by-step explanation:
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