Which sequence of transformations will change figure PQRS to figure P′Q′R′S′? A coordinate grid is labeled from negative 5 to 0 to 5 on both x- and y-axes at increments of 1. Figure PQRS has P at ordered pair 1, negative 3, Q at 3, negative 2, R at 3, negative 3, S at 2, negative 4. Figure P prime Q prime R prime S prime has P prime at ordered pair negative 3,1 Q prime at negative 2,3 R prime at negative 3,3 S prime at negative 4, 2.

Counterclockwise rotation about the origin by 90 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis
Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis

What is the slope of the line shown below?

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true

According to the 2008 u. s. census, california had a population of approximately 4 × 10^7 people and florida had a population of approximately 2 × 10^7 people. which of the following is true? a. the population of california was approximately two times the population of florida. b. the population of florida was approximately twenty times the population of california. c. the population of florida was approximately two times the population of california. d. the population of california was approximately twenty times the population of florida.