The proof shows that ABCD is a rectangle. Which of the following is the missing reason? B A Prove: ABCD is a rectangle. Salements 1 ABD is a paralelogram with congruent diagonals 20 and BD. Reasons 1. Given: definition of congruence 3. Symmetric property Side-side side postulate 5 DE ZARA BAD End CDA are supplementary. 7. BAD and LCDA are nght angles. 8. ABOD is rectangle. 6. Consecutive angles of a parallelooram are supplementary, 7. Angles that are congruent and supplementary are right angles. 8. A parallelogram with one noht angle is a rectangle. QED A. Opposite angles of a parallelogram are congruent. B. Consecutive angles of a parallelogram are congruent. C. Consecutive sides of a parallelogram are congruent. D. Opposite sides of a parallelogram are congruent

Atheater wants to build movable steps that they can use to go on and off the stage. they want the steps to have enough space inside so they can also be used to store props. how much space is inside the steps?

Michael split a rope that was 28 inches long into 5 equal parts. brenden split a rope that was 30 inches long into 6 equal parts. which boy's rope was cut into longer pieces?

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.