At a portrait studio, three 8-inch-by-10-inch pictures and two 5-inch-by-7-inch pictures cost a total of $52. Two 8-inch-by-10-inch pictures and two 5-inch-by-7-inch pictures cost a total of $40. This situation can be represented by the system of equations, where x is the cost in dollars of each 8-inch-by-10-inch picture and y is the cost in dollars of each 5-inch-by-7-inch picture. What is the cost of one 5-inch-by-7-inch picture?

Common binomial factor of 6x(3x+7)+5(3x+7)

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.

Change negative exponents to positive. then solve. round to four decimal places