Answer:



Step-by-step explanation:
First, let's look at the largest triangle (two smaller triangles are combined) to solve for
. Since the sum of the angles in a triangle adds up to
, we can write the equation:



Looking at the smaller triangle on the left,
(exterior angle) is the sum of the two opposite interior angles of the triangle on the left:


Since
is the exterior angle of the triangle on the right, it is equivalent to the sum of the opposite interior angles of that triangle:



Hope this helps :)
Answer:

Step-by-step explanation:
Slope intercept form of a line is given by:

Where
m is the slope and b is the y-intercept
Given slope is 
We can write:

Now to find b, we replace x with -3 and y with -4, given, so we have:

So, the equation is:

Now,
The standard form is given by:

So, we take x and y to left side and the constant to right side. Rearranging, we get:

The first answer choice is right.
Answer:
<h2>C. g(x) = x - 6</h2>
Step-by-step explanation:
For a parent function y = f(x) and n > 0:
f(x) + n : move the graph n units up
f(x) - n : move the graph n units down
f(x + n) : move the graph n units to the left
f(x - n) : move the graph n units to the right
===================================================
We have
f(x) = x
Transformation: 6 units down
f(x) - 6 = x - 6
The answer would be 32 miles (I think) if you set up a proportion you should get this answer.