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

Given f(t) = 282 - 53 +1, determine the function value f(2). do not include f(z) = in your answer

Acar travels at an average speed of 52 miles per hour. how long does it take to travel 299 miles

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?