When y varies inversely with x, we have the follow equation:
y = kx
k = constant of variation
To find k, plugin the values for y = -4 and x = 7 and then solve for k
y = kx
-4 = k7
-4 / 7 = k7/7
-4 / 7 = k
k = -4 / 7
Now that we found k, we write the equation that relates the variables like below
Since the sides are congruent so are the angles (SSS) so 3x+3x+3x=180 because all the angles in a triangle add up to 180 degrees
9x=180
X=20
So the answer is x =20
Answer:
Last Option moved 
units right
Step-by-step explanation:
If we have a function f(x) and we want to move it horizontally then we make the transformation:
If 
then the graph of f(x) moves horizontally h units to the right
If 
then the graph of f(x) moves horizontally h units to the left.
In this case we have the function 
and the transformation is performed to obtain 
Notice that in this transformation
<u><em>Then the graph of moves horizontally to the right</em></u>
The normal form of a line is given by the equation x * cos theta + y * sin theta = p where theta is the angle of the normal line from the positive x-axis and p is the length of the normal line. Converting to normal line form, the equation must first be converted into standard form: 2x + 7y = 4. Then dividing the whole equation by sqrt(a^2 + b^2): sqrt(2^2 + 7^2) = sqrt(53). Hence, the equation becomes 2 / sqrt(53) * x + 7 / sqrt(53) * y = 4 / sqrt(53). Therefore, the length of the normal line is 4 / sqrt(53), and the angle is arctan(7/2) = 74.05 degrees.
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