Select all conditions for which it is possible to construct a triangle. Angle measures of 45 degrees, 45 degrees, and 90 degrees

Triangle with side lengths of 4 cm, 5 cm and a 50 degree angle

Angle measures of 120 degrees, 20 degrees, and 35 degrees

Triangle with angle measures of 30 degrees, 60 degrees, and a side length of 3 cm

Your friend swims on the school team. in his first four races, his times are 24.7, 23.5, 25.6, and 27.2 seconds. which time listed for his next race would make the range larger?

Solve the equation - 2(m -30) = -6m a-15 b-13 c-8 d8

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?