Rectangle ABCD is translated according to the rule (x, y) → (x + 6, y) to rectangle A′ B′ C′ D′ and then rotated 90° counterclockwise about the origin. What are the coordinates of rectangle A″B″C″D″? A) A″ (5, 1), B″ (1, 1), C″ (1, 4), D″ (5, 4) B) A″ (1, 1), B″ (1, 5), C″ (4, 5), D″ (4, 1) C) A″ (1, –1), B″ (5, 1), C″ (5, –4), D″ (1, –4) D) A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)

Jeffery conducted a survey in his school and found that 30 of the 50 eighth grade students' favorite subject is mathematics. based on the results, jeffery concluded that out of the 200 students in his school, 120 students' favorite subject is mathematics. select the statement that is true about jeffery's conclusion. a. jeffery's conclusion is not valid because the sample was biased since only 200 students were surveyed. b. jeffery's conclusion is valid because the sample was random since all of the students were eighth grade students. c. jeffery's conclusion is valid because the sample was random. d. jeffery's conclusion is not valid because the sample was biased since all of the students were eighth grade students.

The conversion factor relating feet to meters is 1 ft=0.305 m. keep in mind that when using conversion factors, you want to make sure that like units cancel leaving you with the units you need. you have been told that a certain house is 164 m2 in area. how much is this in square feet?

To prove that def ~ gfh by the sss similarity theorem using the information provided in the diagram, it would be enough additional information to know that