The length of an australian flag is twice its width and the diagonal length is 45cm.
a. if x cm is the width of the flag, find the length in terms of x.
b. draw a diagram of the flag marking in the diagonal. mark the length and the width in terms of x.
c. use pythagoras theorem to write an equation relating the lengths of the sides to the length of the diagonal.
d. solve the equation to find the dimensions of the australian flag. round your answer to the nearest cm

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.

If the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system? a. there are infinitely many solutions. b. there is no solution. c. there is exactly one solution. d. the lines in a system cannot be parallel.

If 20% of a number is 35, what is 50% of that number?