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sasho [114]
3 years ago
13

The measures of each exterior angle in a regular hexagon is (4x + 15)°. Find the value of x. Show equations and all work that le

ads to your answer.

Mathematics
1 answer:
stellarik [79]3 years ago
6 0

Answer:

x=11.25

Step-by-step explanation:

Given that the measures of each exterior angle in a regular hexagon is (4x + 15)°.

Hexagon means there are 6 sides.

We know that sum of all exterior angles of a regular polygon is always 360 degree.

So if there are n sides of polygon then we can write formula:

nA=360

where n= number of sides = 6

A=(4x + 15)°  {given each interior angle is equal to (4x + 15)°}


plug these into above formula:

6(4x + 15)°=360°

4x + 15=60

4x = 45

4x = 45

x=11.25

<u>Hence final answer is x=11.25.</u>

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Answer:

Regular type is called the form in which polynomials are mostly used. The parameters are calibrated to the lowest degree. The polynomial x4 + 2x3+x+11 is standard, for instance, because four are most strong and three and one are the strongest.

Step-by-step explanation:

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3 years ago
Can someone help me with this
zimovet [89]

Answer:

Step-by-step explanation:

It pretty simple, you need to read the sentence and match the number.

Ex:

Seven more than one half = 7 more than 1/2

= 7+ 1/2

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Quotient shows you’re dividing

And product shows you’re multiplying

And when it refers to ‘a number’ it means your variable which in this case is ‘n’.

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-23-10x ≤ 47 (Solving two step inequalities)
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Answer: x >= -7

(x is greater than or equal to negative seven)
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Explain how you decide wether to multiply or divide by 3 if you need to convert yards to feet.
Valentin [98]

Answer:

Step-by-step explanation:

Converting yards to feet means that we want the label of yards to cancel, leaving feet as our label. Use the factor-label method taught in chemistry.

???yds *\frac{3feet}{1yd}

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6 0
3 years ago
A survey in Men’s Health magazine reported that 39% of cardiologists said that they took vitamin E supplements. To see if this i
zzz [600]

Answer:

z=\frac{0.36 -0.39}{\sqrt{\frac{0.39(1-0.39)}{100}}}=-0.615  

The p value for this case would be:

p_v =2*P(z  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39

Step-by-step explanation:

Information given

n=100 represent the random sample taken

X=36 represent the number of people that take E supplement

\hat p=\frac{36}{100}=0.36 estimated proportion of people who take R supplement

p_o=0.39 is the value that we want to test

\alpha=0.05 represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true proportion is equatl to 0.39 or not, the system of hypothesis are.:  

Null hypothesis:p=0.39  

Alternative hypothesis:p \neq 0.39  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info we got:

z=\frac{0.36 -0.39}{\sqrt{\frac{0.39(1-0.39)}{100}}}=-0.615  

The p value for this case would be:

p_v =2*P(z  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39

8 0
3 years ago
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