How many sides does a regular polygon have, if each exterior angle measures 60?

1 answer:

7 0

In a regular polygon, each exterior angle equals each central angle.
central angle = 360 / #sides
#sides = 360 / central angle
#sides = 360 / 60
#sides = 6

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2 (10- 22x0) = (2x + 2)

Lorico [155]

Answer:

x=9

Step-by-step explanation:

2(10-22×0)=(2x+2)

Applying BODMAS

2(10-0)=(2x+2)

2(10)=2x+2

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2x=20-2

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3 years ago

What is 0.66666666666 as a fraction

stellarik [79]

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1 step. Set up an equation by representing the repeating decimal with a variable. Using your example, you will let x represent the repeating decimal 0.(6), so you have x=0.666... .

2 step. Identify how many digits are in the repeating pattern, or n digits. Multiply both sides of the equation from Step 1 by $10^n$ to create a new equation. Again, using your example, you see that the repeating pattern consists of just one digit: 6. Now multiply both sides of the equation by $10^1 = 10$ . Thus, you have $10x = 10 \cdot 0.666...$ or $10x = 6.666....$ .

3 step. Subtract the equation in Step 1 from the equation in Step 2. Notice that when we subtract these equations, our repeating pattern drops off. Therefore, $10x-x=6.666...-0.666...\\ 9x=6$ .

4 step. You now have an equation that you can solve for x and simplify as much as possible, using x as a fraction: $9x = 6$ . If you divide both sides by 9, you get $x=\dfrac{6}{9}$ . When simplified, you get that $x=\dfrac{2}{3}$ .