Gail determined the measures of all eight angles labeled using
the given information. Stu said she could only calculate the
measure of four angles with certainty.
Given: m24 = 37°
Who is correct? Explain your reasoning.

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.

Thanh and her crew are building a stage in the shape of a trapezoid for an upcoming festival. the lengths of the parallel sides of the trapezoid are 14 ft and 24 ft. the height of the trapezoid is 12 ft.what is the area of the stage? enter your answer in the box. ft²

Drag statements and reasons to each row to show why the slope of the line between d and e is the same as the slope between e and f, given that triangles a and b are similar.