The equal symbol with the wave meat "is Congeruent to" Show your work to find the measurement of angle 7 and angle 5​

angle 5 is 61°

angle 7 is 61°

Step-by-step explanation:

1. angle 7 + angle 8 = 90° Because they are complementary angles

2. Because of point 1 above, angle 5 + angle 6 = 90°

3. since given angle 6 = 29°

so, angle 5 = 90° - 29° = 61°

4. since given angle 5 = angle 8

so, angle 8 = 61°

5. from point 1 above,

angle 7 + 61° = 90°

so angle 7 = 29°

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