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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To solve this, we need to know how to find the mean of a set of data and how to find the median of a set of data.
To find the mean, or often called the average, we should add all of the values up, and then divide it by the number of values.
588+838+691+818+846+725+605+732+750 = 6593
6593/9=732.556
The problem tells us we should round to the nearest point, so our mean credit score is 733.
To find the median, we need to order the data from lowest to highest and find out which credit score(s) are right in the middle. If there are 2 in the middle, we simply should add them and divide by 2 to get our median. An easy way to do this is after you order them, you simply cross off one on each side until there is only 1 (or 2) left.
588 605 691 725 732 750 818 838 846
605 691 725 732 750 818 838
691 725 732 750 818
725 732 750
732
Since we only have one number in the middle, we are done with the median! We know our median is 732.
Now we simply need to compare them and subtract the lower one from the higher one.
Mean:733
Median: 732
733>732
We know the mean is bigger, so we should subtract the median from the mean.
733=732=1
Using the logic above, we can see that the mean is 1 point higher than the median.
Given:
The slope of the line is m=0.
The line passes through the point P(-9,-3).
To find:
The equation of the line in standard form.
Solution:
Standard form of a line is:

The slope intercept form of the line is

Where, m is the slope and
is the point on the line.
It is given that the slope of the line is 3 and it passes through the point (-9,-3), so the equation of the line is



Therefore, the standard form of the given line is
.
What we know:
we know that there are <u>75</u> chicks in the hen house, we also know that in all there are 108 chicks
What we need to find:
we need to find out how many chicks were outside
Answer equation:
108 - 75 = 33
Answer:
Volume of a circle = approximatley 25.12
Step-by-step explanation:
1. Volume of a circle= 4/3*pi*radius
2. Radius equals 1/2 of diameter
3. 12/2=6
4. radius=6
5. 4/3*3.14*6=25.12
6. Volume of a circle = approximatley 25.12