The angle bisectors of △efg are es , fs , and gs . they meet at a single point s . (in other words, s is the incenter of △efg .) suppose =ps12 , =gs15 , =m∠pfq92° , and =m∠res24° . find the following measures. note that the figure is not drawn to scale.

What is the length of the segment joining the points at (4,5) and (6,-2) round to the nearest tenth if necessary

Acomputer store bought a program at a cost of $10 and sold it for $13. find the percent markup

1- 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.2- 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 the first question?