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3 years ago

Somebody please help me

Mathematics

1 answer:

Evgen [1.6K]3 years ago

5 0

I️ think it’s c not sure though

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8-35. Use your knowledge of polygons to answer the questions below, if possible.

Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is $1980^0$

Then:

$(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13$

The polygon has 13 sides.

II. If the Interior angle is $900^0$

Then:

$(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7$

The polygon has 7 sides.

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

If the exterior angle of a regular polygon is 90°

Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

The regular polygon has 4 sides and it is called a Square.

(c)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

For a pentagon, n=5

Then:

$\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0$

(d)The sum of the exterior angle of a polygon is 360 degrees.

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

The sum of the interior angle does not change either in a regular or irregular polygon.

3 0

3 years ago

NEED HELP ASAP, QUICK I NEED THE AREA PLZ!!!

pashok25 [27]

Use a= $\pi$ r^2 (r represents your radius of 4 feet)

$\pi$ (4^2)
Answer = 16 $\pi$ ^2

7 0

3 years ago

Liv hizo un ponche al mezclar 2,8 litros de jugo de naranja, 0,75 litros de jugo de piña y 1,2 litros de ginger ale. Liv dividir

Juli2301 [7.4K]

Answer is 24............

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3 years ago

What is the value of the function when x = 3? x −2 −1 1 3 4 y 4 3 6 5 8

Anon25 [30]

It tells us that:

(-2,4)
(-1,3)
(1,6)
(3,5)
(4,8)

Look at (3,5) ... it tells us that x = 3 and y = 5

So y = 5

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3 years ago

CAN SOMEONE HELP ME ASP ITS IS DUE IN 10 MINUTES?!?!?

e-lub [12.9K]

Answer:

x = 36

Step-by-step explanation:

6 0

3 years ago

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