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nekit [7.7K]
3 years ago
9

suris age is 4 less than 3 times her cousins age. suri is 17 years old. which method can be used to find c, her cousins age?

Mathematics
1 answer:
Vlad [161]3 years ago
3 0
The answer is: D
You have 3c (3 times her cousins age) -4 (4 less than)
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8-35. Use your knowledge of polygons to answer the questions below, if possible.
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Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

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(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 <u>13 sides.</u>

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

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If the exterior angle of a regular polygon is 90°

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90\°=\frac{360^0}{n}\\ 90n=360\\n=4

The regular polygon has 4 sides and it is called a <u>Square.</u>

<u>(c)</u>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 <u>sum of the exterior angle of a polygon is 360 degrees.</u>

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 <u>does not change either in a regular or irregular polygon.</u>

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3 years ago
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Tanzania [10]

Answer:

The slope is 8 and the y intercept is 0

Step-by-step explanation:

The equation is written in slope intercept form

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The slope is 8 and the y intercept is 0

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3 years ago
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The weight of a nickel is 80% of a quarter. If a nickel weighs 5 grams how much does a quarter weigh?
muminat

Answer:

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Step-by-step explanation:

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The weight of a quarter  or the weight of a nickel is 5 grams or weight of a quarter =50.8 = 6.25 grams

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Answer:

Step-by-step explanation:

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Pythagorean Theorem:a2 + b2 = c2 Re−write the formula solving for b2 .
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