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The two segments are equal

Thus, you can form an equation:

15 - x = 2x

Add x to both sides:

15 = 3x

Divide both sides by 3:

x = 5

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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

m∠a is 90°

m∠b is 40°