Which statement can be used to prove that a given parallelogram is a rectangle? the opposite sides of the parallelogram are congruent. the diagonals of the parallelogram are congruent. the opposite angles of the parallelogram are congruent. the diagonals of the parallelogram bisect the angles.

The diagonals of the parallelogram are congruent.

Step-by-step explanation:

In every parallelogram the opposite angles are congruent, this means that opposing angles measure the same, a rombus,a  square, every parallelogram has congruent opposite angles, as well as diagonal isecting the angles and its opposite sides are congruent, the only thing that would tell us that the parallelogram is definetly a rectangle is that the diagonals of the parallelogram are congruent, because only in that way we know that we have four 90º angles, that form a rectangle.

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

answer: the is put the 450

step-by-step explanation: