The answer for this equation is -2
Answer:
From the given triangle figure;
Labelled the triangle as A , B and C.
The coordinates of this triangle ABC are;
A = (1, 10) ,
B = (-2, 4)
C = (7, 4).
Given : Scale factor(k) = and centered at point (4, -2).
The rule of dilation with and center at point (4,-2) is:
or
then, the dilation of the given figure are;
= = = A'(3 , 2)
= = =B'(2 , 0)
= = = C'(5 , 0)
The coordinates of dilation images are:
A' = (3,2) , B' = (2, 0) and C' = (5, 0)
You can see the graph of the dilated image as shown below:
80 feet would be it cause 6 + 4 = 10 and 10 x 8 = 80
Because the angles are vertical, we can create an equation and than solve for x.
x + 40 = 3x
We subtract x from both sides to get the variable on one side.
40 = 2x
Next, we can divide both sides by 2 and reverse the equation to get it into proper form.
x = 20
Remember, the opposite angles in a vertical angle are always equal.
Hope this helps!