Given a11 congruenta3, which lines, if any, must be parallel based on the given information? justify your conclusion.

a || b, converse of the alternate exterior angles theorem

c || d, converse of the same-side interior angles theorem

a || b, converse of the corresponding angles theorem

not enough information to make a conclusion

Np4=12np2 with clear explanation.

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

Jonathan puts $400 in a bank account. each year the account earns 6% simple interest. how much interest will be earned in 5 years?