The total cost of 15 gallons of regular gasoline and premium gasoline are 35.50 premium costs .20 cents more what is the cost of each type?

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?

What is not true about kl and mn? what is mn? (show )

Paul’s car is 18 feet long. he is making a model of his car that is 1/6 the actual size. what is the length of the model?