The diagram shows squares 1, 2, and 3 constructed on the sides of a right triangle. . . which statement about the squares must be true? . a.(perimeter of 1) + (perimeter of 2) = (perimeter of 3). b.(area of 1) + (area of 2) = (perimeter of 3). c.(area of 1) + (area of 2) = (area of 3). d.(perimeter of 1) + (perimeter of 2) = (area of 3).

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?

The class wants to raise a total of $750.if they receive a profit of $1.25 from each candybar sold, how many bars must they sell to reachtheir goal

Identify a1 and r for the geometric sequence an= -256(-1/4) n-1