Your nephew rakes leaves in your neighborhood after school and earn at least 52 per yard how many yards will he need to rake to earn at least 52? Write an inequality to model this situation

Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?

Rectangle abcd is similar to rectangle rstu . what is the scale factor of a dilation from abcd to rstu ? enter your answer in the box.

Explain how you can show five less than a number using algebraic expression