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USPshnik [31]
3 years ago
7

2) The ratio of an exterior and an interior angle of regular polygon at a vertex is 2 : 7, the number of sides of the regular po

lygon is __________ *
Mathematics
2 answers:
mina [271]3 years ago
8 0

Answer:

Ext=2x

Int=7x

Int+ext=180

2x+7x=180

9x=180

x=20

Ext=2×20=40

No of sides =360/40

=9 sides.

I hope this helped you

Step-by-step explanation:

NemiM [27]3 years ago
3 0

Answer: the sides have to be the same length so an equilateral triangle a square a rhombus get what i am saying

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loris [4]

Answer: a. Radius of circle = \sqrt{85}

b. The equation of this circle : (x-3)^2+(y-10)^2=85

Step-by-step explanation:

Given : Center of the circle = (3,10)

Circle is passing through (12,12).

a. To find the radius we apply distance formula (∵ Radius is the distance from center to any point ion the circle.)

Radius of circle = \sqrt{(12-3)^2+(12-10)^2}

Radius of circle = \sqrt{(9)^2+(2)^2}=\sqrt{81+4}=\sqrt{85}

i.e. Radius of circle = \sqrt{85}

b. Equation of a circle = (x-h)^2+(y-k)^2=r^2 , where (h,k)=Center and r=radius of the circle.

Put the values of (h,k)= (3,10) and r= \sqrt{85} , we get

(x-3)^2+(y-10)^2=(\sqrt{85})^2

(x-3)^2+(y-10)^2=85

∴  The equation of this circle :(x-3)^2+(y-10)^2=85

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Alexeev081 [22]

Answer:

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Step-by-step explanation:

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let's plug the value of x and y as 5 and 4 respectively to find the value of given expression :

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