Answer:
Step-by-step explanation:
You only need two points on a line to find the equation for that line.
We are going to use 2 points that cross that line or at least come close to. You don't have to use the green points... just any point on the line will work. You might have to approximate a little.
I see ~(67.5,67.5) and ~(64,65).
Now once you have your points, we need to find the slope.
You may use 
where 
are points on the line.
Or you can line up the points vertically and subtract then put 2nd difference over 1st difference.
Like this:
( 64 , 65 )
-( 67.5, 67.5 )
--------------------
-3.5 -2.5
So the slope is -2.5/-3.5=2.5/3.5=25/35=5/7.
Now use point-slope form to find the equation:
where 
is the slope and 
is a point on the line.
Distribute:
Simplify:
Add 65 on both sides:
Simplify:
Your vertex is (8,7)
First find the x intercept
-2/2a
X = 16/2
X = 8
Substitute the value x and solve for y
Youd get 7
Hence
(8,7)
Let the width be x, then the length is x + 12.
Area = length x width = x(x + 12) = 589
Solving the quadratic equation, we have that
x = 19 feet
i.e. the width is 19 feet.
Answer:
C. AB/XY = AC/XZ
Step-by-step explanation:
Dilation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The original figure either stretches or shrinks by a certain factor.
In the problem, the dilation is by a factor of 5 and we can see that ABC shrinks to form XYZ.
So, ABC and XYZ are similar triangles which means that the ratio of their corresponding sides will be equal:
AB/XY = AC/XZ = BC/YZ = 5
You can't reduce 3/8, it's in the lowest form.
