3. Using the diagram from #2. The angle formed with a vertex in the image and its corresponding vertex in the preimage is equal to the angle of rotation. Give an example of one of these such angles from your diagram. This
angle is the same measure for each of your sets of vertices. Using this statement and your diagram, write the
equation that holds true for your diagram,

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e. g. 98.76543).

The function show two sisters' savings account and the rate at which they plan to deposit money

Javier bought a painting for $150. each year, the painting's value increases by a factor of 1.15. which expression gives the painting's value after 77 years?