Line FG would be tangent because it touches the circle without crossing over, or going through the circle
Answer:

Step-by-step explanation:
Choices aren't given, so i will solve this equation and find the first positive x-intercept angle.
First, x-intercept means the x-cutting point of the graph. This occurs when y = 0. So we will solve the equation for x. Shown below:

Inverse Cotangent (ArcCot) of 0 is at
, so we can now solve for x:

So, the x-intercept is at x = pi/6
Answer:
See below
Step-by-step explanation:
(a) 4x - 22 = 74
(b) 
(c) 24
Answer:
1) A system of two linear equations to represent this problem
x+y=20 and x-y=12
2) The numbers are x=16 and y=4
Step-by-step explanation:
Let x and y be the two numbers
Given that the sum of the two numbers is 20
That is 
and the difference is 12
That is 
1) A system of two linear equations to represent this problem


2). Noe Solve the system to find the 2 numbers:
Adding the equations (1) and (2) we get


_____________
2x=32

Therfore x=16
Now substitute x=16 in equation (1) we get


Therefore y=4
Therefore the numbers are x=16 and y=4
If you have two equations, you will multiply one of them so it cancels out the other one. For Example, 2x-y=16 3x-y=28You will multiply the second equation by -1 which brings us to 2x-y=16 -3x+y=-28you will add both equations together which will leave you with-x=-12x=12Then, you plug that in. 2x12=24. 24-16=8. 3x12=36 36-8=28 And, You're done!