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
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Answer:
x = 1\2 and y = 0
Step-by-step explanation:
8x + 3y = 4 * 5\3
14x - 5y = 7 * 1
40\3x + 5y = 20\3 -------- 1
14x - 5y = 7 ----------------- 2
add equation 1 and 2
82\3x = 41\3
x = <u>4</u><u>1</u><u> </u> <u>3</u>
3 * 82
x = 1\2
subtitute 1\2 for x in equation 2
14\2 - 5y = 7
7 - 5y = 7
5y = 7 - 7
y = 0\5
y = 0
thus x = 1\2 and y = 0
The answers to the questions on how she would use the colored chips are given here:
- writing a new article 6 yellow chips
- designing a computer presentation 10 red chips
<h3>How to solve for the values</h3>
For the first percentage
20 / 100 = x/20
= 20 * 20 = 100x
400 = 100x
divide through by 100
x = 400/100
x = 4
For the second percentage
30/100 = x/20
600 = 100x
x = 600/100
x = 6
For the last
50/100 = x/20
1000 = 100x
x = 10
The proof is that 6 + 4 + 10 still gives us 20
Read more on percentages here: brainly.com/question/24877689
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