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Vsevolod [243]
2 years ago
7

Find the measure of one exterior angle in a regular 11-gon to the nearest 10th

Mathematics
1 answer:
DerKrebs [107]2 years ago
3 0
S= (n-2) * 180
s= (11-2) * 180
s= 1620
1620/11 = 147.3
180 - 147.3 = 32.7
The answer is C.
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A train covers a distance of 80 miles in 2 hours. At this rate, about how many hours will it take to cover a distance of 200 mil
Vadim26 [7]
Let's write miles over hours
80 / 2 = 200/ x
cross multiply
80x = 400
divide both sides by 80
x = 5

It will take 5 hours to cover 200 miles

Hope this helps :)
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Simplify xz³ × 4x⁴z⁵​
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4x⁵z8

Step-by-step explanation:

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Carl has three lengths of cables, 5/6 yard long, and 2/3 yard long. If he uses 1 yard of cable, how much cable is left?
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8 0
3 years ago
Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66
Ipatiy [6.2K]

Answer:

Summation notation is:

\sum_{n=1}^{16}[5(x-1)-9]

If you prefer it a little more simplified:

\sum_{n=1}^{16}(5x-14)

Step-by-step explanation:

First my favorite part, finding a pattern between the consecutive terms.

This is an arithmetic series because the terms are going up by 5 each time.

So arithmetic sequence, think linear equations:

x     |      y

1            -9

2           -4

3             1

4             6

..................

n             66

We are going to have to find that n but will will eventually...

The equation for a line in point slope form is y-y_1=m(x_x_1) where (x_1,y_1) is a point on the line and m is the slope.

We are already have the slope is 5 (the slope is the common difference in arithmetic sequence).

I'm going to use the first point (1,-9).

So the equation in point slope form is y-(-9)=5(x-1)

Subtract 9 on both sides:

y=5(x-1)-9

Now we need to know how many terms we are adding so what is x if y=66.

66=5(x-1)-9

Add 9 on both sides:

75=5(x-1)

Divide both sides by 5:

15=x-1

Add 1 on both sides:

16=x

We have 16 terms in this sequence where the 16th term is 66.

Summation notation is:

\sum_{n=1}^{16}[5(x-1)-9]

You could simplify the 5(x-1)-9.

Distribute:  5x-5-9

Add like terms:  5x-14

3 0
3 years ago
Read 2 more answers
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