Parallel lines u and v are cut by a transversal t. Find the measure of the angle if… There are corresponding angles measuring 90 degrees and (4x + 2) degrees. There are alternate interior angles measuring (6x + 10) degrees and (5x + 50) degrees. There are alternate exterior angles measuring (9y - 3) degrees and (6y + 12) degrees. Sketch ALL three examples. Be sure to sketch them so that obtuse, right and acute angles are accurately shown.

Timmy uses 1 1 2 cups of sugar for every 2 gallons of lemonade he makes. how many cups of sugar would timmy use if he makes 13 gallons of lemonade?

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

As voters exit the polls, you ask a representative random sample of voters if they voted for a proposition. if the true percentage of voters who vote for the proposition is 63%, what is the probability that, in your sample, exactly 5 do not voted for the proposition before 2 voted for the proposition? the probability is