There are three types of ice cream cones - strawberry chocolate and peach. You and 25 of your closest friends are going to buy ice cream cones. If 15 people buy strawberry cones and 20 people buy peach cones, what was the experimental prohibity of buying chocolate cones?

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?

Two lines parallel to the same plane are parallel to eachother

Write each fraction as an equivalent fraction with a denominator of 120then write the original fractions in order from samllest to largest