The figure shows how one side street intersects the main road to form two angles.

x=31

Step-by-step explanation:

Hey There!

Those angles are a pair of supplementary angles meaning that they will add up to equal

So to find what x equal we have to set up an equation and because those angles are supplementary we use the equation of 180=4x+x+25 because like before the sum of supplementary angles is equal to 180

Now that we have the equation it is time to solve for x

180=4x+x+25

Step 1 combine any like terms

Like terms are any similar variables or constants and in this case we have two like terms 4x and x so we should add them together

4x+x=5x

Now we have

180=5x+25

Step 2 our goal is to get the variable (x) on one side and the constant on the other. What we want to do is get rid of the 25 and to do that we subtract 25 but whatever we do to one side we have to do to the other

180-25=155

25-25 cancels out

now we have 155=5x

Our final step is to divide each side by 5

5/5 cancels out

155/5=31

We can conclude that x=31

given hc ∥ gd.¯¯¯¯¯¯which statement is true

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles

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