Drag the tiles to the correct boxes to complete the pairs. The figure shows ∆ABC with m∠ABC = 90°. The first 10 steps to prove that AB2 + BC2 = AC2 are given in the table. Match the remaining steps to their correct sequence in the proof. Statement Reason 1. Draw . construction 2. ∠ABC ≅ ∠BDC Angles with the same measure are congruent. 4. ∠BCA ≅ ∠DCB Reflexive Property of Congruence 4. AA criterion for similarity 5. Corresponding sides of similar triangles are proportional. 6. BC2 = AC × DC cross multiplication 7. ∠ABC ≅ ∠ADB Angles with the same measure are congruent. 8. ∠BAC ≅ ∠DAB Reflexive Property of Congruence 9. AA criterion for similarity 10. Corresponding sides of similar triangles are proportional. 11. 12. 13. 14. 15. AB2 + BC2 = AC2 Reason: multiplication AB2 + BC2 = AC × AC Reason: segment addition AB2 = AC × AD Reason: cross multiplication AB2 + BC2 = AC(AD + DC) Reason: Distributive Property AB2 + BC2 = AC × AD + AC × DC Reason: addition

1. the manager of collins import autos believes the number of cars sold in a day (q) depends on two factors: (1) the number of hours the dealership is open (h) and (2) the number of salespersons working that day (s). after collecting data for two months (53 days), the manager estimates the following log-linear model: q 4 equation 1 a. explain, how to transform the log-linear model into linear form that can be estimated using multiple regression analysis. the computer output for the multiple regression analysis is shown below: q4 table b. how do you interpret coefficients b and c? if the dealership increases the number of salespersons by 20%, what will be the percentage increase in daily sales? c. test the overall model for statistical significance at the 5% significance level. d. what percent of the total variation in daily auto sales is explained by this equation? what could you suggest to increase this percentage? e. test the intercept for statistical significance at the 5% level of significance. if h and s both equal 0, are sales expected to be 0? explain why or why not? f. test the estimated coefficient b for statistical significance. if the dealership decreases its hours of operation by 10%, what is the expected impact on daily sales?