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Rus_ich [418]
3 years ago
8

If an exterior angle of a regular polygon is 21.2°, how many sides does the polygon have?

Mathematics
1 answer:
sesenic [268]3 years ago
3 0
360 divided by x = 21.2 recurring
So rearrange that to get x = 360 divided by 21.2
Which rounds up to 17
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Solve the quadratic equation by factoring 9x2+24+20=4
AnnyKZ [126]

Answer:

Final answer is x=-\frac{4}{3} and x=-\frac{4}{3}.

Step-by-step explanation:

Given equation is 9x^2+24x+20=4.

Now we need to solve that by factoring.

9x^2+24x+20=4

9x^2+24x+20-4=0

9x^2+24x+16=0

9x^2+12x+12x+16=0

3x(3x+4)+4(3x+4)=0

(3x+4)(3x+4)=0

(3x+4)=0, (3x+4)=0

3x+4=0, 3x+4=0

3x=-4, 3x=-4

x=-\frac{4}{3}, x=-\frac{4}{3}

Hence final answer is x=-\frac{4}{3} and x=-\frac{4}{3}.

5 0
3 years ago
ASAP! I really need help with this question! No nonsense answers, and please attach the solution.
uysha [10]

Answer:

\boxed{\sf Option \ 4}

Step-by-step explanation:

\sqrt{2x-3} +x=3

Subtract x from both sides.

\sqrt{2x-3} +x-x=-x+3

\sqrt{2x-3}=-x+3

Square both sides.

( \sqrt{2x-3})^2 =(-x+3)^2

2x-3=x^2-6x+9

Subtract x²-6x+9 from both sides.

2x-3-(x^2-6x+9 )=x^2-6x+9-(x^2-6x+9)

-x^2 +8x-12=0

Factor left side of the equation.

(-x+2)(x-6)=0

Set factors equal to 0.

-x+2=0\\-x=-2\\x=2

x-6=0\\x=6

Check if the solutions are extraneous or not.

Plug x as 2.

\sqrt{2(2)-3} +2=3\\ \sqrt{4-3} +2=3\\\sqrt{1} +2=3\\3=3

x = 2 works in the equation.

Plug x as 6.

\sqrt{2(6)-3} +6=3\\ \sqrt{12-3} +6=3\\\sqrt{9} +6=3\\3+6=3\\9=3

x = 6 does not work in the equation.

5 0
4 years ago
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How do I solve this please help I will give Brainly
marysya [2.9K]

Answer: 2 1/2

Step-by-step explanation:

7 0
3 years ago
Leo drew a line that is perpendicular to the line shown on the grid and passes through point (F. G). Which of the following is t
tensa zangetsu [6.8K]

The equation of the perpendicular line drawn by Leo is  y-G=\dfrac{-1}{2}(x-F). Option C is the correct answer.

<h3>How to determine the equation of a line?</h3>

A line is drawn perpendicular to the line shown in the image. The perpendicular line passes through the coordinate point (F,G).

The slope of the line from the graph is-

m=\dfrac{y-intercept}{x-intercept}\\\\\\m=2

Therefore, the slope of the perpendicular line is \dfrac{-1}{2}.

Also, it is being given that Leo's line is passing through the coordinate point .

So, the equation of the Leo's line is-

y-G=\dfrac{-1}{2}(x-F)

Thus, the equation of the perpendicular line drawn by Leo is .

y-G=\dfrac{-1}{2}(x-F)

Learn more about the equation of line here- brainly.com/question/20632687

#SPJ1

7 0
2 years ago
Your office is raising money for charity by collecting aluminium cans for recycling. They get 36p per kilo of cans. A kilo is ap
Alina [70]
8645 cans divided by 72 per kilo is <span>120.069 kilos of cans
</span>120.069 kilos times 0.36 pounds= <span>43.22 pounds raised</span>
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3 years ago
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