Below represents the proof that the quadrilateral QRST is a parallelogram
<h3>How to prove that QRST is a parallelogram?</h3>
The coordinates are given as:
Q = (-1,-1)
R = (2,9)
S = (-4,5)
T = (-7,-5)
Calculate the length of each side using:

So, we have:




The above computations show that opposite sides are equal.
Next, we determine the slope of each side using:

So, we have:




The above computations show that opposite sides are parallel, because they have equal slope
Hence, the quadrilateral QRST is a parallelogram
Read more about parallelograms at:
brainly.com/question/3050890
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The absolute value of a real number is a positive value of the number. Which means that the absolute value is the distance from zero of the number line. However, that of the complex numbers is the distance from the origin to the point in a complex plane,
Using the dot plot and statistical concepts, it is found that the correct option is:
- Their means will be most affected because this value will be an outlier.
<h3>What is a dot plot?</h3>
- The dot plot shows the <u>number of times each measure appears in the data-set.</u>
In this problem, for both Walter and Janine, the dot plots are cluster between 80 and 90, which means that their grades are in this range.
- Hence, for both, a grade of 65 would be an outlier, and the measure that is most affected by outliers is the mean.
Hence, the correct option is:
- Their means will be most affected because this value will be an outlier.
You can learn more about dot plot at brainly.com/question/24912483