Look at the figure shown below: A triangle RPQ is shown. S is a point on side PQ and T is a point on side PR. Points S and T are joined using a straight line.

Patricia is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 35.

StatementReason
1.Segment ST is parallel to segment QRGiven
2.Angle QRT is congruent to angle STPCorresponding angles formed by parallel lines and their transversal are congruent
3.Angle SPT is congruent to angle QPRReflexive property of angles
4.Triangle SPT is similar to triangle QPRAngle-Angle Similarity Postulate
5.28:40 =Corresponding sides of similar triangles are in proportion
Which of the following can she use to complete statement 5? (1 point)

x:15

x:(x + 15)

28:15

28:(x + 15)

What are the relative frequencies to the nearest hundredth of the columns of the two-way table? a b group 1 102 34 group 2 18 14

Write the slope intercept equation for line ab.

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.