I could be wrong (and I apologize if I am), but I believe these are the answers to your questions.
1.) Angle 4
2.) Angle 6
3.) Angle 10
4.) 30 degrees
5.) 48 degrees
6.) 55 degrees
7.) 68 degrees
8.) 148 degrees
9.) 102 degrees
10.) 38 degrees
If I turn out to be correct, then I am happy I was able to help you.
When it says x and y are directly related it means that x is multiplied by something to get y. To solve you divide y by x which is 840 divided by 6. Which is 140 then you multiply and solve so the y value for 5 is 700. The x value for 420 is 3 and the y value for 4 is 560.
In analytical geometry, there are already derived equations to find the distance of lines and points as well as the angle made between two lines. As special case is when the other line is one of the coordinate axis. Then, the formula can be simplified to
tan θ =m, where m is the slope of the equation
In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.
<span>y-2x=7
y = 2x+7
dy/dx = 2 =m
So,
tan </span>θ = 2
θ = tan⁻¹(2)
θ = 63.43°
Yeah honestly same it’s ok tho