RS is perpendicular to MN and PQ.
We can use the slopes of these lines to determine the answer.
Slope is given by the formula
m=.
Using the coordinates for M and N, we have:
m=.
Since PQ is parallel to MN, its slope will be as well, since parallel lines have the same slope.
Using the coordinates for points T and V in the slope formula, we have
m=.
This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.
Using the coordinates for R and S in the slope formula, we have
m=. Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.
32.0 you just add the first and last numbers then muptily the middle number by you anwser and divdie your 2 anwsers to gether
The sampling distribution is illustrated below.
<h3>How to illustrate the sampling?</h3>
Based on the information given, the population is illustrated as 1, 4, 7. The sample without replacement will be:
<u>Sample Mean</u>
1 and 4. 2.5
1 and 7. 4
4 and 7. 5.5
The population mean will be:
= (1 + 4 + 7)/3
= 4
The sample mean is an unbiased estimator of the population mean.
The sampling with replacement illustrates that the mean will be:
= 36/9 = 4
Also, when n = 3, the number of samples will be:
= 3³ = 27
Learn more about sampling on:
brainly.com/question/17831271
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Answer:
RS ≈ 5.83 units
Step-by-step explanation:
Calculate RS using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = R(- 3, 1) and (x₂, y₂ ) = S(2, 4)
RS = 
= 
= 
= 
≈ 5.83 ( to 3 significant figures )
Answer:
11.5 in
Step-by-step explanation:
