Which of the following correctly justifies statement 4 of the two-column proof? Lines JK and LM are intersected by transversal JL; the intersection of JK and JL creates angles 2, 4, 3, and 1 clockwise beginning at the top right; the intersection of LM and JL creates angles 6, 8, 7, and 5 clockwise beginning at the top right.

Given: line JK is parallel to line LM

Prove: ∠3 ≅ ∠6

Statement Justification
1. line JK is parallel to line LM 1. Given
2. ∠7 ≅ ∠6 2.
3. ∠3 ≅ ∠7 3.
4. ∠3 ≅ ∠6 4.
Corresponding Angles Theorem
Vertical Angles Theorem
Substitution Property of Equality
Transitive Property of Equality

The multiplicative property of equality states that for real numbers a, b, c, and d, if a = b and c = d, then ac = bd. true false

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Which is the graph of this function 3 square root of x plus one if