Glven: AE = BD; CD=CE Prove: AC = BC

1) AE = BD; CD = CE

1)

Given

2) AE = AC + CE

2) Subtraction Property of Equality

3) AC +CD= BC + CD

3)

Segment Addition Postulate

4) AC +CD= BD

4) Symmetric Property of Equality

5) BD = AC + CD

5) Segment Addition Postulate

6) BD =BC+CD

3) Transitive Property of Equality

7) AC = BC

7) Substitution Property of Equality

Astudent received the following grades last semester. find the student's semester grade point average. an a is algebra (3 credits), a b in history ( 3 credits), a in sociology ( 3 credits) a d in english ( 3credits) and a c in seminar ( 2credits). an a is worth 4 points, a b is worth 3 points a c is worth 2 points and a d is worth 1 point.

Which statement is true? the given sides and angles cannot be used to show similarity by either the sss or sas similarity theorems. the given sides and angles can be used to show similarity by the sss similarity theorem only. the given sides and angles can be used to show similarity by the sas similarity theorem only. the given sides and angles can be used to show similarity by both the sss and sas similarity theorems.

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?