2. Find the value of x.

3

Step-by-step explanation:

Angle 10x + 2 and angle E are supplementary, so they add up to 180

so 10x + 2 + E = 180

solve for E to get

E = 178 - 10x

Angles G, E, and F add up to 180 because all three angles in a triangle always add up to 180

so G + E + F = 180

plug in 2x + 1 for G, 178 - 10x for E, and 25 for F

2x + 1 + 178 - 10x + 25 = 180

combine like terms and solve for x

204 - 8x = 180

-8x = -24

x = 3

answer: 59

step-by-step explanation:

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