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alina1380 [7]
3 years ago
14

Given that 99°, 153°, 162° are 3 of the interior angles of a n-sided polygon and that the remaining interior angles are 141° eac

h, find n.
Mathematics
1 answer:
Helen [10]3 years ago
8 0

Answer:

n = 9

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Given 3 angles and the remaining angle of 141° then there are

141(n - 3) angles of this size

Then

99 + 153 + 162 + 141(n - 3) = 180(n - 2) , that is

414 + 141n - 423 = 180n - 360

141n - 9 = 180n - 360 ( subtract 141n from both sides )

- 9 = 39n - 360 ( add 360 to both sides )

351 = 39n ( divide both sides by 39 )

9 = n

The polygon has 9 sides

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Answer:

12.56 (13 if rounded)

Step-by-step explanation:

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A=2 squared multiplied by pi

A=4 times pi

plug into calculator should be about 12.56

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3 years ago
Which translation rule describes the translation that is 2 units to the left and 8 units down?
lisov135 [29]

Answer: (x,y) → (x - 2, y - 8)

Step-by-step explanation:

Two units to the left would mean decreasing value on the x-axis, making it -2.

Eight units down would, again, mean decreasing value on the y-axis, making it -8.

Therefore, (x,y) → (x - 2, y - 8) is the correct translation rule.

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2 years ago
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3 years ago
You buy a car for $25,000. It depreciates at the rate of 23% per year.
Juliette [100K]

The worth of the car in 10 years is $1,831.67 using an exponential equation approach.

What is an exponential equation?

An exponential equation is the one with exponents such X^3(the 3 is the exponent)

The exponential equation required here is the one where the future value would be lower than current value because the car reduces in value year-in-year-out.

FV=PV*(1-r)^N

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The fact that r is negative means the car is depreciating not appreciating.

FV=$25,000*(1-23%)^10

FV=$1,831.67

Find further explanation on exponential equation below in the link:

brainly.com/question/11832081

#SPJ1

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Hope this helps!! :)

3 0
2 years ago
Read 2 more answers
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