Assume the two lines ab and xy intersect as in the diagram below. which of the following statements are true. check all that apply.

Correct answer options are A and D.

Step-by-step explanation:

Vertical angles are those that are opposite and equal formed when two lines cross.

∠ARY and ∠XRB are vertical angles

Perpendicular lines are those that intersect to form a right-angle at 90°

Line AB and Line XY are perpendicular lines

Option A and Option D.

Step-by-step explanation:

In the given question AB and XY are two lines which intersect each other at point P.

A). ∠ARY and ∠XRB are vertical angles. True.

B). ∠ARY and ∠XRB are supplementary. False.

∠ARY + ∠XRB = 180° but they are not the adjacent angles formed at a point.

They are the vertical angles.

C).∠ARY and ∠XRB are complementary. False.

Since these angle are vertical angles.

D). AB and XY are perpendicular. True.

It's given in the question ∠BRY = 90°

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