The coordinates of the vertices of the image are L' = (-4, 6), M' = (-5, 1) and N' = (-7, 3)
<h3>What are the coordinates of the vertices of the image?</h3>
The vertices of the preimage of the triangle are given as:
L = (4, -6)
M = (5, -1)
N = (7, -3)
The rotation is given as: 180 degrees counterclockwise
<h3 />
The rule of this rotation is
(x, y) => (-x, -y)
So, we have:
L' = (-4, 6)
M' = (-5, 1)
N' = (-7, 3)
Hence, the coordinates of the vertices of the image are L' = (-4, 6), M' = (-5, 1) and N' = (-7, 3)
Read more about rotation at:
brainly.com/question/4289712
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The answer to the second one is 243/2 but I'm not 100% positive
let the length of each shorter side be x
length of longer side= x+14
2(x+14) + 2x = 48
2x + 28 + 2x = 48
4x + 28 = 48
4x = 48-28
4x = 20
x = 5
shorter side = 5cm
The correct statement about the data collected by Ms. Pearson is that there is no association between a student's absences and the final average grades.
<h3>When do variables have a linear relationship?</h3>
The equation that represents a linear relationship is: a + bx
Where x represents the rate of increase. Thus, for linear equations, the functiion increases by a constant term.
Looking at the table, the average final grade does not increase by a constant term.
To learn more about linear functions, please check: brainly.com/question/26434260