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3 years ago

Will make brainliest, please help

Mathematics

1 answer:

andrew11 [14]3 years ago

8 0

-5x+4y=2
9x-4y=6

eliminate the 4y as a positive 4 + negative 4 =0
this will leave you with
-5x=2
9x=6
add them
4x=8
divide both sides by 4

x=2

to find y, plug in x=2 for any one of the original equations

-5(2)+4y=2
-10+4y=2

add 10 to both sides

4y=12

divide both sides by 4

y=3

the final answer is (2,3)

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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.

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3 years ago

The circle below has center C, and its radius is 5 in. Given that m

yan [13]

What is the question bruh not everybody know what you talkin bout

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3 years ago

What is 1,364 divided by 62

zzz [600]

The answer is ...... 22

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3 years ago

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Sifa has $156 in the bank. He needs to have at least $400 for spending money on his trip. Write and solve an inequality to find

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Sifa needs to earn $244

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2 years ago

Find the radius of the circle if the center is at (1, 2) and the point (-3, 4) lies on the circle.

Anton [14]

Answer:

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Step-by-step explanation:

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3 years ago

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Will make brainliest, please help​

Will make brainliest, please help