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N76 [4]
3 years ago
5

Angle 2 is 60. Find angle 8. Options: 140 100 40 60

Mathematics
1 answer:
pav-90 [236]3 years ago
5 0
Angle 8 is 60 too
eee
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Find the sum of the measures of exterior angles, one at each vertex, of an octagon.
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A rule of polygons is that the sum<span> of the </span>exterior angles<span> always equals 360 degrees, but lets prove this for a regular </span>octagon<span> (8-sides). First we must figure out what </span>each<span>of the interior </span>angles<span> equal. To do this we use the </span>formula<span>: ((n-2)*180)/n where n is the number of sides of the polygon</span>
3 0
3 years ago
Read 2 more answers
A random sample of 40 college students has a mean earnings of​ $3120 over the summer months. Assume the population standard devi
PSYCHO15rus [73]

Answer:

A normal distribution or z-test is used to construct a confidence interval.

Step-by-step explanation:

We are given the following in the question:

Sample mean, \bar{x} = $3120

Sample size, n = 40

Population standard deviation, σ = $677

The distribution of earnings of college is a normal distribution.

Conditions:

  • Since we are given the population standard deviation and the the sample size is also greater than 30.

Conclusion:

Thus, we use a normal distribution or z-test to construct a confidence interval.

4 0
3 years ago
__________________________________________
xz_007 [3.2K]

Answer:

3.3 x 10⁻⁴

Step-by-step explanation:

Given expression:

           \frac{2.64 x 10^{-3} }{8.0 x 10^{0} }

 To solve this problem;

    10°   = 1

So;

             \frac{2.64 x 10^{-3} }{8.0}

    =  \frac{2.64}{8}  x 10⁻³

    = 0.33 x 10⁻³

    = 3.3 x 10⁻¹  x 10⁻³

     = 3.3 x 10⁻⁴

4 0
3 years ago
Angelina makes 70% of her free throws. What is the probability tha she will make her next two free throws?
Vesna [10]
15 % on her next free throws because a percent is always out of a 100. leftover is 30 half of 30 is 15 do it is 15%
6 0
3 years ago
Anita invested $6000, some at 5% and the rest at 6%. If the yearly income is $337.50, what is the amount invested at each rate?
Pepsi [2]

Let the amount invested with 5% interest be x

Therefore, the amount invested with 6% interest will be (6000-x)

It is given that the total interest earned yearly is $337.5. Thus, the equation of interest will be:

\frac{5}{100}x+\frac{6}{100}(6000-x)=337.5

Multiplying both sides by 100 we get:

5x+6(6000-x)=33750

5x+36000-6x=33750

Subtracting both sides by 36000 we get:

-x=-2250

\therefore x=2250

Thus, the amount invested at 5% is $2250

Therefore, the amount invested at 6% will be $(6000-2250)=$3750

6 0
3 years ago
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