Can someone plz answer and explain this?

Hi,

First let's find the unknown degree in the triangle. We know an entire triangle is 180 degrees so all we have to do is add the sum of the other two interior angles. 55 + 72 = 127. Now let's subtract 127 from 180 to get 53. Now let's solve for x. Since we know the angle beside it is 53, we subtract that from 180 degrees (a line segment is 180 degrees) to get 127.

x = 127 degrees

Have a great day!

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