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:
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Answer:
1352
Step-by-step explanation:
Firstly, we get the percentage growth last year. This is calculated as:
(1300-1250)/1250 * 100
= 4%
Now, we are assuming the growth rate is constant. So let’s calculate a 4% growth rate for this year. That would be:
4/100 * 1,300 = 52
The population this year would thus be 1300 + 52 = 1352
Answer:
Step-by-step explanation:
i 798
Answer:
x = -1
y = 2
Step-by-step explanation:
x + y = 1
y = -x + 1
y = -x + 1 (Multiply this by -1)
y = 3x +5
-y = x - 1
y = 3x +5
0 = 4x + 4
4x = -4
x = -1
x + y = 1
-1 + y = 1
y = 2