Find the measure of each angle: complimentary angles with measures (5x) and (4x - 18)

60° and 30°

Step-by-step explanation:

I'm going to assume you mean complementary angles.

Complementary angles are angles that form 90° or a right angle

From the question, it is saying that

(5x) +(4x-18) = 90

To work out x, solve the equation

9x-18 = 90

9x = 108

x = 12

Therefore the angle of 5x is 5x12 or 60° and the angle of (4x-18) is going to be 4x12-18 = 30°

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