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alex41 [277]
3 years ago
7

Which of the following statements about the relationship between an interior angle of a polygon and its adjacent exterior angle

are true? Choose all that apply.
A. They form a linear pair.
B. They are supplementary.
C. They are complementary.
D. They are alternate exterior angles.
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
4 0

Answer:

The sum of the interior angle measures of a triangle

is 180°. You can find the sum of the interior angle

measures of any n-gon, where n represents the

number of sides of the polygon, by multiplying

(n - 2) 180°. In a polygon, an exterior angle forms a

linear pair with its adjacent interior angle, so the

sum of their measures is 180°. In a triangle, the

measure of an exterior angle is equal to the sum of

the measures of its two remote interior angles.

Step-by-step explanation:

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blagie [28]
This is in 2 point form
(y2-y1)=m(x2-x1)
(9-5)=3/5(x-3)
x=29/3
4 0
3 years ago
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 180180 engin
tiny-mole [99]

Answer:

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

p_v =P(Z  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=4.6 represent the sample mean

\sigma=0.9 represent the population standard deviation

n=180 sample size  

\mu_o =4.8 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if thetrue mean is below the specifications, the system of hypothesis would be:  

Null hypothesis:\mu \geq 4.8  

Alternative hypothesis:\mu < 4.8  

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

P-value

Since is a one sided test the p value would be:  

p_v =P(Z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

4 0
3 years ago
Please help! will give brainliest. click for the picture
vesna_86 [32]

Answer:

Gimme some time

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Keisha says that all functions are relations but not all relations are functions. kevin says that all relations are functions bu
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Keisha is correct, because as per the definition <u>A function is a special relationship where each input has a single output</u>.

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3 0
3 years ago
Please help me. I suck at math
serg [7]

Answer:

Answer is ...Obtuse

Step-by-step explanation:

\frac{m

\frac{5x + 4}{2}  =  \frac{3}{2} x + 21

\frac{5x + 4}{2}  =  \frac{3x + 42}{2}

5x + 4 = 3x + 42

5x -  3x = 42 - 4

2x = 38

x = 19

substituting \: x = 19  \: \:in \:  \:  \:  \:  \:  \:  \: \\ m

We get,

m<ABC =

(5 \times 19) + 4 = 99

Hence <ABC is obtuse

4 0
3 years ago
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