Fill in the missing statement and reason in the proof of the Alternate Exterior Angles Theorem. Segment AB is parallel to segment CD, and transversal EF intersects segment AB at G and segment CD at H.

It is given that segment AB is parallel to segment CD and points E, G, H, and F are collinear. by the Vertical Angles Theorem. ∠AGF and ∠CHF are corresponding and congruent according to the Corresponding Angles Theorem. Finally, ∠EGB and ∠CHF are congruent by the .

∠EGB and ∠EGA are congruent; Transitive Property of Equality
∠EGB and ∠AGF are congruent; Transitive Property of Equality
∠EGB and ∠AGF are congruent; Subtraction Property
∠EGB and ∠EGA are congruent; Subtraction Property

Astudent simplified a rational expression as shown.

The price of a car has been reduced from $19,000 to $11,590. what is the percentage decrease of the price of the car?

Ascientist studied a population of workers to determine whether verbal praise and/or tangible rewards affect employee productivity. in the study, some workers were offered verbal praise, some were offered tangible rewards (gift cards, presents, and some were offered neither. the productivity of each participant was measured throughout the study by recording the number of daily tasks completed by each employee. which inference might the scientists make based on the given information? a.) the number of daily tasks completed by each employee may influence the dependent variable, which is whether the employee receives verbal praise, tangible rewards, or neither. b.) verbal praise and/or tangible rewards may influence the independent variable, which is the number of daily tasks completed by each employee. c.) verbal praise and/or tangible rewards may influence the dependent variable, which is the number of daily tasks completed by each employee. d.) the dependent variables, which are verbal praise and tangible rewards, may influence the number of daily tasks completed by each employee.