Two parallel lines are crossed by a transversal. Horizontal and parallel lines g and f are cut by transversal h. At the intersection of lines g and h, the bottom left angle is a degrees. At the intersection of lines f and h, the bottom left angle is 63 degrees. What is the value of a?

One expression below in undefined, and the other expression has a well defined value. which expression is undefined and explain why it has no value. which expression is defined? what is the value of that expression and how do you know? what is a different expression using a trig inverse function that is also undefined?

Miguel’s teacher asks him to color 4/8 of his grid. he must use 3 colors: red, blue, and green. there must be more green sections than red sections. how can miguel color all the sections of his grid to follow all the rules

What percent of the circle below is shaded?