Equation practice with angle addition hlp

∠AOB = 139°

Step-by-step explanation:

The 2 angles form a straight angle and sum to 180°, that is

∠AOB + ∠BOC = 180 ← substitute values

8x + 51 + 6x - 25 = 180, that is

14x + 26 = 180 ( subtract 26 from both sides )

14x = 154 ( divide both sides by 14 )

x = 11

Hence

∠AOB = 8x + 51 = (8 × 11) + 51 = 88 + 51 = 139°

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