Drag the tiles to the correct boxes to complete the pairs. In the figure, line a and line b are parallel. Based on the figure, match each given angle with its congruent angles.

angles congruent to ∠1
angles congruent to ∠2
angles congruent to ∠7
angles congruent to ∠6
∠3,∠7,∠6 arrowRight
∠3,∠7,∠2 arrowRight
∠4,∠8,∠5 arrowRight
∠3,∠6,∠2 arrowRight

Arandom sample of 15 observations is used to estimate the population mean. the sample mean and the standard deviation are calculated as 172 and 63, respectively. assume that the population is normally distributed. a. with 99 confidence, what is the margin of error for the estimation of the population mean? b. construct the 99% confidence interval for the population mean. c. construct the 95% confidence interval for the population mean. d. construct the 83% confidence interval for the population mean. hint: you need to use excel function =t.inv.2t to find the value of t for the interval calculation.