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Misha Larkins [42]
3 years ago
13

Which pair of lines are perpendicular lines?

Mathematics
1 answer:
Evgen [1.6K]3 years ago
4 0

Answer:

Lines that cross one another.

Step-by-step explanation:

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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 <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

The polygon has <u>7 sides.</u>

(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 <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>

3 0
2 years ago
Earl gets a commission of 20% on all sales. He sold $1,580.00 worth of goods. What was the amount of his paycheck?
Anni [7]
The answwer

20%  of <span>$1,580.00 is   X= 1,580 x20/ 100 = $316
</span> 
the amount of his paycheck was <span> $316</span>



7 0
3 years ago
Read 2 more answers
The formula AequalsPleft parenthesis 1 plus r right parenthesis squared gives the amount A in dollars that P dollars will grow t
Volgvan

Answer:

9

Step-by-step explanation:

you get an L

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2 years ago
What is 56,291.8 rounded to the nearest thousand
Lorico [155]

Answer:

56,000

Step-by-step explanation:

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2 years ago
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Please help anyone please?
DiKsa [7]
The answer should be 2 1/2 inches over the 2 weeks

hope this helps
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3 years ago
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