Explain the mistake in each proof in Problems 1-2. Then describe a correct way to prove that the triangles are congruent. Identify any
additional information that is needed.
1. Given: FD || BC, AB | DE, and AC = FE
Since FD || BC, ZDFE - ZACB by the Alt. Int.
Thm. Since AB || DE, ZABC = ZEDF by
the Alt. Int. _ Thm. Also, AC = FE is given.
Therefore, A ABC = AEDF by AAS Congruence
Theorem.
E
B

Carson has only $20 bills and $10 bill in her wallet. the total value of the bills is $50. she has 1 more $20 bill than $10 bills. how many each kind of bill does carson have? a. one $20 and two $10 bills b. two $20 bills and one $10 bill c. one $20 bills and three $10 bills d. two $20 bills and two $10 bills

The box plot shows the number of raisins found in sample boxes from brand c and from brand d. each box weighs the same. what could you infer by comparing the range of the data for each brand? a) a box of raisins from either brand has about 28 raisins. b) the number of raisins in boxes from brand c varies more than boxes from brand d. c) the number of raisins in boxes from brand d varies more than boxes from brand c. d) the number of raisins in boxes from either brand varies about the same.

Tod does not have any cookies. david gives jeff 8 cookies. then he splits half of the cookies he has left with tod. david let’s c represent the number of cookies that he starts with. he finds the number of cookies that tod has is 1/2 the difference of c and 8. write an expression to represent the number of cookies that tod has.