04.01 Using the Coordinates

Which statement explains how you could use coordinate geometry to prove the opposite sides of a quadrilateral are congruent?

A. Use the slope formula to prove the slopes of the opposite sides are the same.
B. Use the slope formula to prove the slopes of the opposite sides are opposite reciprocals.
C. Use the distance formula to prove the lengths of the opposite sides are the same.
D. Use the distance formula to prove the midpoints of the opposite sides are the same.

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.