Answer:
step 3: place the tip of the compass at point x and strike the arc at point y
Step-by-step explanation:
congruent triangles are triangles that have equal shape and size. They are the same in every way. this is the reason why they are called CONGRUENT
we have been asked to construct an angle MNT congruent to angle PQR. this means we are to construct angle that is the same as that at PQR.
with a ruler and a compass we can easily make a replica of the angle at PQR.
following the steps given in the question including step 3 that i have just added, the angle MNT will be the same as the angle PQR
Answer:
The angle of depression from Platform A to Platform B is 
Step-by-step explanation:
Refer the attached figure
The horizontal distance between the platforms is 500 feet i.e. BC = 500
The length of the zip-line is 685 feet i.e. AB = 685
We are supposed to find the angle of depression from Platform A to Platform B
Hypotenuse = 685
Base = 500

Hence the angle of depression from Platform A to Platform B is 
I don't know, what did the policeman shout to the math professor as a mob of excited calculus students crowded around these displays on his graphing calculator?
Answer: THE GRAPH IS ATTACHED.
Step-by-step explanation:
We know that the lines are:

Solving for "y" from the first line, we get:

In order to graph them, we can find the x-intercepts and the y-intercepts.
For the line
the x-intercepts is:

And the y-intercept is:

For the line
the x-intercepts is:

And the y-intercept is:

Now we can graph both lines, as you can observe in the image attached (The symbols
and
indicates that the lines must be dashed).
By definition, the solution is the intersection region of all the solutions in the system of inequalities.