Answer:
∠7 = 34°
Step-by-step explanation:
Since a and b are parallel lines then
∠3 and ∠7 are corresponding angles and congruent, so
∠7 = ∠3 = 34°
Answer:
x = 2
Step-by-step explanation:
First, let's write out our equation:

I want to isolate x on one side, so first, I'll add 4 to both sides to remove the -4 from next to 2x:

Notice that I combined like terms with the -4 and 4 (to get 0) and the 6 and 4 on the right side (to get 10). Next, I'll add 3x to both sides:

And then I'll add like terms:

Now, all we have to do is divide both sides by 5:

And there's our answer. Hopefully that's helpful! :)
Answer:
a. 
b. 
c.


Step-by-step explanation:
a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:

b) The income function is given by the relation
.
The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:

(c) The profit function of the company is given by the relation
, and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:

When q = 2000, the marginal utility is:

When q = 7000, the marginal utility is:

Answer:
B
Step-by-step explanation:
I added all of then and then subtracted 47 from the 50.
Answer:
80
Step-by-step explanation:
in the figure above, angle 100 degrees is corresponding to the angle co - interior to angle x
that is
if we put an angle that is at the upper left of x, we can call that y which is corresponding to 100 degrees
since y is corresponding to 100 degrees, it automatically becomes the same as 100 degrees
therefore y=100
now, from the first line above, we know that x and y are co-interior which means that they both add up to 180 degrees
that is
x+y=180
we know that y = 100
therefore,
x+100=180
collect like terms and
x = 180-100
therefore,
x= 80
thank you!!