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laiz [17]
4 years ago
10

Which construction is illustrated above?

Mathematics
2 answers:
mrs_skeptik [129]4 years ago
7 0

Answer:

The given construction is illustrating parallel lines.

Step-by-step explanation:

In the given figure ,

1) Let it be Δ ABC with base BC.

2) Mark point D on side AB.  

3) Taking B as  point to draw an angle and with same measurement draw an arc  at point D.

4) Extend D to join AC at point E such that ∠ ADE = ∠ABC

these are corresponding angles .

Therefore,  DE ║ BC

We obtained a line DE parallel to BC.

Thus, the given construction is illustrating parallel lines.

MariettaO [177]4 years ago
3 0
Corresponding angles
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Answer:

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

Information provided

represent the mean for sample 1  

represent the mean for sample 2  

represent the sample standard deviation for 1  

represent the sample standard deviation for 2  

sample size for the group 2  

sample size for the group 2  

Significance level provided

t would represent the statistic

Hypothesis to test

We want to verify if the true means for this case are significantly different, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

The statistic is given by:

(1)  

And the degrees of freedom are given by    

Replacing the info given we got:

 

The degreess of freedom are given by:

Now we can calculate the p value with the following probability:

 

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
Angels I need MAJOR HELP
Vlada [557]
<2 and <3 are supplementary angles...therefore they must equal 180°

since <2 = 125
you can find the measure of <3 by subtracting the measure of <2 from 180°

180 - 125 = 55° < answer

hope this helps :)







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4 years ago
Kevin wants to buy an area rug for his living room. He would like the area rug to be no smaller that 48 square feet and no bigge
mariarad [96]

Answer:

8-10 feet

Step-by-step explanation:

If the length of the carpet is two more than the width, the width can be expressed as x and the length can be expressed as x+2. This means that the area(x^2+2x) must be greater than 48 but no less than 80.

Now we can solve for both the maximum and minimum cases:

x^2+2x=48, x^2+2x-48=0, now we can factor, (x+8)(x-6)=0, and now we can use the Zero Product Property to find x=-8;x=6. Since we cant have negative width, x at least has to be equal to 6.

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Now since the length is two more than the width, x, you add two to both of these values and get a range of 8-10 feet.

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4 years ago
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Answer:

x=3/2

Step-by-step explanation:

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