An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points A(14,18) ; B(10,18) ; C(10,9) ; D(12,7) ; E(18,12.5), shown in feet. The walls are 10 feet high. The museum is going to paint four of the walls ab bc de ae . Assume one gallon of paint is enough to cover 268 square feet. How many gallons of paint should the museum purchase? Enter your answer as a whole number.

(03.03 mc) choose the graph below that correctly represents the equation 2x + 4y = 24. (5 points) select one: a. line through the points 0 comma 6 and 12 comma 0 b. line through the points 0 comma negative 6 and 12 comma 0 c. line through the points 0 comma negative 12 and 6 comma 0 d. line through the points 0 comma 12 and 6 comma 0

Aparticular telephone number is used to receive both voice calls and fax messages. suppose that 25% of the incoming calls involve fax messages, and consider a sample of 25 incoming calls. (a) what is the expected number of calls among the 25 that involve a fax message?

Which of the following would be a correct step in proving that triangle abc is congruent to triangle cda? a. use a protractor to measure the angles and show that all the corresponding angles are equal in measure. this will allow you to prove congruence by aaa. b. show that segment ab is parallel to segment cd and segment ad is parallel to segment cb. this will allow you to prove congruency by asa. c. show that is segment ab is perpendicular to segment ad. this will allow you to prove congruence by sas. d. none of the above.