M∠ABD is a straight angle m∠CBD=8x+16 m∠ABC=6x−60

Step-by-step explanation:

A straight angle means that the angle has a measure of 180 degrees. Therefore:

Hope this helps!

m∠ABC = 36 degrees

Step-by-step explanation:

8x + 16 + 6x - 60 = 180       Add both angles to equal 180

14x - 44 = 180

     + 44   + 44                     Add 44 to both sides

14x = 224                            Divide both sides by 14

x = 16

Plug this into the equation for angle ABC

6(16) - 60                             Multiply

96 - 60                                Subtract

m∠ABC = 36

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

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.