You are riding your bike and notice the square sign above. you mentally draw a straight line from point a to c. 1. describe the angle relationship between ∠dca and ∠bca 2. your sister says that the angles ∠dca and ∠bca are supplementary angles. is she correct? explain your reasoning (both questions are separate)

1. The angles DCA and BCA are the same.

2. Angles DCA and BCA are not supplementary. Since the both of them add up to 90° (we know that angle c is equal to 90° because in a right square all angles are 90°) the angles would be complementary, not supplementary. Supplementary angles add up to 180°

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

the 3rd on is correct

step-by-step explanation: