Answer:7x
Step-by-step explanation:because you can’t multiply them like 2*2 so you just put them together
Hi there!
Since one of the angles in this set of 2 lines is a right angle, we know that every other angle is a right angle because vertical angles are congruent and that because each line has a total of 180 degrees.
Thus, Angle NDA and RDY are both 90 degrees and add up to 180 degrees.
Since the two angles add up to 180, they are supplementary angles.
Also, we should notice that those two angles are across each other. Thus, they are also vertical angles.
Your answers are choices B and C.
Have an awesome day! :)
Answer:
x = 8
Step-by-step explanation
Complimentary angles have a sum of 90*. Thus when adding the two equations together, we must get 90*.
7x + 17 + 3x - 7 = 90 Combine like terms
10x + 10 = 90 Subtract 10 on both sides
10x = 80 Divide both sides by 10
x = 8
ANSWER TO QUESTION 1
The given function is

The partial derivative of f with respect to x means we are treating y as a constant. The first derivative is

and the second derivative with respect to x is,

ANSWER TO QUESTION 2
The given function is

The partial derivative of f with respect to y means we are treating x as a constant. The first derivative is

and the second derivative with respect to y is

ANSWER TO QUESTION 3
Our first mixed partial is

We need to differentiate

again. But this time with respect to y.
Since this is a product of two functions of y, we apply the product rule of differentiation to obtain,


ANSWER TO QUESTION 4
The second mixed partial is

We need to differentiate

again. But this time with respect to x.
Since this is a product of two functions of x, we apply the product rule of differentiation to obtain,


Hence,