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Vikki [24]
2 years ago
12

Find the measure of each angle indicated. Show work.​

Mathematics
1 answer:
kirza4 [7]2 years ago
3 0

Answer:

? = 109 degrees

Step-by-step explanation:

45 + 75 + _ = 180  ( look for vertical angles)

45 + 75 + 60 = 180

60 +79 + _ = 180 (look for a straight line that forms 180 degrees)

60 + 79 + 41 = 180

68 + 41 + _ = 180 (look for a triangle that adds up to 180)

68 + 41 + 71 =180

180 - 71 = 109 (look for a linear pair)

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HELP ASAP! WILL GIVE BRAINLIEST!!
Deffense [45]

Answer:

26.635

Step-by-step explanation:

6.28, the area of the biggest circle

2.355, the area of the little circle

18, the area of rectangular

6.28+2.355+18

5 0
3 years ago
3x + 3(x + y) ? <br><br> Help!
tatuchka [14]

Answer:

=6x+3y

Step-by-step explanation:

3X+3(X+Y)

Distribute:

=3X+(3)(X)+(3)(Y)

=3X+3X+3Y

Combine Like Terms:

=3x+3x+3y

=(3x+3x)+(3y)

=6x+3y

4 0
3 years ago
A random sample of 50 recent college graduates results in a mean time to graduate of 4.58 years, with a standard deviation of 1.
Anna007 [38]

Answer:

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

Yes, this confidence interval contradict the belief that it takes 4 years to complete a bachelor’s degree.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean <em>μ, </em>when the population standard deviation is not known is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

The information provided is:

\bar x=4.58\\s=1.10\\\alpha =0.10

Compute the critical value of <em>t</em> for 90% confidence interval and (n - 1) degrees of freedom as follows:

t_{\alpha/2, (n-1)}=t_{0.10/2, (50-1)}=t_{0.05, 49}=1.671

*Use a <em>t</em>-table for the probability.

Compute the 90% confidence interval for population mean <em>μ</em> as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

     =4.58\pm 1.671\times \frac{1.10}{\sqrt{50}}\\=4.58\pm 0.26\\=(4.32, 4.84)

Thus, the 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

If a hypothesis test is conducted to determine whether it takes 4 years to complete a bachelor’s degree or not, the hypothesis will be:

<em>Hₐ</em>:<em> </em>The mean time it takes to complete a bachelor’s degree is 4 years, i.e. <em>μ </em>= 4.

<em>Hₐ</em>:<em> </em>The mean time it takes to complete a bachelor’s degree is different from 4 years, i.e. <em>μ </em>≠ 4.

The decision rule based on a confidence interval will be:

Reject the null hypothesis if the null value is not included in the interval.

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32 years, 4.84 years).

The null value, i.e. <em>μ </em>= 4 is not included in the interval.

The null hypothesis will be rejected at 10% level of significance.

Thus, it can be concluded that that time it takes to complete a bachelor’s degree is different from 4 years.

4 0
3 years ago
C an somebody please tell me what 9+10 is?
Mekhanik [1.2K]

' 9 + 10 ' is a simple exercise in addition.  Its solution is  19 .

There is junk floating around the internet saying that 9+10=21.
That statement is false, and the arithmetic is wrong.
The whole thing is a joke.  If you ask someone to prove it, they will
perform a demonstration with Roman numerals, but the way they handle
the Roman numerals is itself defective, and they're hoping you won't notice.


5 0
3 years ago
I needdd helppp fast plzzz
Alexandra [31]

Answer:

Measure of ∠B = 51°.

Step-by-step explanation:

The sum of the measures of any triangle will always add up to 180°.  Also the sum of two supplementary angles, or angles that are side by side on a straight line, will also add up to 180°.  In order to find the measure of ∠B, you need to first find the measure of ∠C.  ∠C is supplementary to the angle of 113°, so we can find ∠C: 180 - 113 = 57°.  Now that we know ∠A and ∠C, we can solve for ∠B:  180 = 72 + 57 + ∠B or 180 = 129 + ∠B, subtracting 129 from both sides, we get ∠B = 51°.

4 0
3 years ago
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