WILL MARK BRAINLIEST RIGHT ANSWERS ONLY PLS

11

Step-by-step explanation:

Since ΔNOP is a traingle, all the angles added up together equal 180 degrees.

(5x-8) + (x-5) + (6x+1) = 180

Now simplify by adding like terms

12x-12 = 180

Solve for x by adding 12 to both sides and then dividing both sides by 12

12x=192

x=16

Once you solved for x, plug it into the angle you need to find.

m∠O=(x-5)

=(16-5)

=11

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204