An elementary school is offering 3 language classes: one in spanish, one in french, and one in german. the classes are open to any of the 100 students in the school. there are 28 students in the spanish class, 26 in the french class, and 16 in thegerman class. there are 12 students that are in both spanish and french, 4 thatare in both spanish and german, and 6 that are in both french and german. inaddition, there are 2 students taking all 3 classes.
(a) if a student is chosen randomly, what is the probability that he or she is not in any of the language classes? (b) if a student is chosen randomly, what is the probability that he or she is taking exactly one language class? (c) if 2 students are chosen randomly, what is the probability that at least 1 is taking a language class?

When constructing a perpendicular line through a point off a line, how can you verify that the lines constructed are perpendicular? check the angles used in the construction with a straightedge to ensure consistency. check the distance along the lines at several places with a compass to ensure they are the same length. check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. check the distance between the lines at several places with a compass to ensure they are equidistant. question 2(multiple choice worth 1 points) (01.03 lc) which of the following steps is included in the construction of a perpendicular line through a point on a line? connect arcs that are above and below the given line with a straightedge. connect arcs that are above the original line with a straightedge. create arcs on either side of a point that is off the given line. create a copied angle by using the first two lines as the original angle.