Look at the figure shown below. Nora is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 45.

Which of the following can she use to complete statement 5?

A. 60:(48+36)
B. 60:36
C. 48:36
D. 48:(48+36)

Find the vertex of the function given below y=x^2-6x+1

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

Amajor grocery store chain is trying to cut down on waste. currently, they get peaches from two different distributors, whole fruits and green grocer. out of a two large shipments, the manager randomly selects items from both suppliers and counts the number of items that are not sell-able due to bruising, disease or other problems. she then makes a confidence interval. is there a significant difference in the quality of the peaches between the two distributors? 95% ci for pw-pg: (0.064, 0.156)