A. [XY] is a line segment 5 cm long. At X an arc is drawn to cut [XY] at A. Keeping the same radius another arc is drawn with centre A to cut the first arc at B. [AB] and [BX] are the joined by straight line segments. Explain why triangle ABX is equilateral. b. What is the size of angles AXB?

c. Perform the construction in a. Use it to construct angles of size:
i. 30° ii. 15°

[15 points, algebra 2]simplify the complex fraction and find the restrictions.

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-responsequestion. there are 15 questions on the test and the students have been given 55 minutes to complete itwhich value could replace x in the table? 5507-m23-m8(15-m)8(15)-m