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
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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)
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Step-by-step explanation:
0.75a + 2(0.90) = 27.60
is the correct answer
The tens digit is 3; the units digit is 3-1 = 2; and the number itself is 32.
<em>Lets simplify the problem,</em>
Let assume the "tens" digit be x
Then the "units" difference = (x-1), according to the condition.
Hence, the number itself is N = 10x + (x-1).
Then the number N+8 is 10x + (x-1) + 8 = 10x + x + 7 = 11x + 7.
From the last statement of the problem, we have this equation

Simplify and find "x"
.
Thus the tens digit is 3; the units digit is 3-1 = 2; and the number itself is 32.
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Answer:
Step-by-step explanation:
Difference in the distance = 50 yards
Difference in speed = 8 - 6 = 2 y/s
<u>Time to cover the gap is:</u>
<u>Sandra will run the distance:</u>
If u add up 15,17, and 19 they add up to 51