What is the measure of x?
Angles are not necessarily drawn to scale.

139°

Step-by-step explanation:

these angles are supplementary angles, meaning that when added together, they equal 180°

so you just need to subtract 41 from 180 which gets you 139.

139

Step-by-step explanation:

180-41 = 139

the answer

b. they are parallel and will never intersect.

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