Graph triangle ACG with vertices A (1, 4) C (3, -2) and G (1, -2) and triangle BCF with vertices B (2, 1), C (3, -2) and F (2, -2). then write a proportion comparing the rise to the run for each of the similar slope triangles and find the numeric value.

Using two or more complete sentences, describe how you can find a vector parallel to b=-2,3

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?

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)