The Rose Bowl is played between the champions of the PAC-10 and BIG-10 conferences. USC is the PAC-10 champion with probability 0.6 and they win the rose bowl 90% of the times that they represent the PAC-10. UCLA wins the PAC-10 20% of the time and given that they make it to the Rose Bowl, they win it with probability 0.2. When one of the other PAC-10 teams win the conference championship, they are equally likely to win or lose in the Rose Bowl. There are 10 teams in the Pac-10. Required:
a. What is the probability that USC wins the Rose Bowl?
b. What is the probability that the Big-10 representative wins the Rose Bowl?

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)