Lines m and n are parallel.
what is angle 1?
35 degrees
50 degrees
55 degrees
75 degrees

55 degrees.

Step-by-step explanation:

We know that lines M and N are parallel.

The angle 1, is the angle in the first quadrant formed by the intersection of lines k and n.

we can see that in the quadrant 1 of the intersection between lines k and m, the angle is 55°

Then knowing that n and m are parallel, the angles in each quadrant of the intersection km must coincide with the angles in the corresponding quadrants of kn.

Then we have that the angle 1 must be equal to 55°

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

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step-by-step explanation:

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