The figure shows two intersecting lines and measures of the resulting angles.
(3%-8)
(2x +12)
What are the values of x and y?
A. X = 4, y = 20
B. X = 4, y = 160
C. X = 20, y = 52
D. X = 20, y = 128

Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar. consider the given table.

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.

Graph a triangle (xyz) and reflect it over the line y=x to create triangle x’y’z’. describe the transformation using words. draw a line segment from point x to the reflecting line, and then draw a line segment from point x’ to the reflecting line. what do you notice about the two line segments you drew? do you think you would see the same characteristics if you drew the line segment connecting y with the reflecting line and then y’ with the reflecting line? how do you know?