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3 years ago

8

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

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

Read 2 more answers

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

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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>

8 0

3 years ago

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