If 5/6 of her collection is hip-hop, then 1/6 of her collection is not hip-hop. So 1/4 of the remaining music is country so 1/6 times 1/4 is 1/24.
a. What conjecture is being made?
The Conjecture being made is that is it is possible to measure the larger angle of the second fence based on the smaller angle.
b. What key details are given?
That the lines are parallel and the smaller angle is 35 degrees.
c. What is your plan of action?
My plan is to multiply 35 and 2 then subtract 35 times 2 with 360 and the answer is 290 and divide 290 by 2 to get 145 degrees as the larger angle.
What you should do first is simplify the equation into the y = mx + b format. Move 2x to the other side. Know that in doing this, 2x must become the opposite of what it currently is (-2) in order for the equation to remain true. We also have to take away the '10' because the line is parallel, not exactly the same, which means a different y intercept. This looks like:

Next, simplify y to make things easier. This can be done by dividing both sides by 5, like so:

What you should also know is that if a line is parallel to another, then this means the slope has to be the same because they both have the same changes in rise and run. With this in mind, simply plug in the x and y values.



Add 2 to both sides to isolate b.

Which means that -2 = b.
Now that we have the y intercept, we can write the equation of the line, which is
.
Hope this was helpful.