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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The solution of the equation (√x-8) + 2 = 7 is x = 13.
According to the given question.
We have an equation

Since, we solve the above equation for x .
Therefore,

⇒ (√x - 8) = 7 - 2
⇒ (√x - 8) = 5
Squarring both the sides.
⇒ x - 8 = 5
⇒ x = 5 + 8
⇒ x = 13
Hence, the solution of the equation (√x-8) + 2 = 7 is x = 13.
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Answer: 12.75 inches
Step-by-step explanation:
Let x represent last year's rainfall.
Multiply by 0.8 since this year was 20% less.
x(0.8)= 10.2
x = 12.75