Ernesto tried to determine the solution for the system of equations using substitution. his work is shown below. x – y = 7 3x – 2y = 8 step 1: x = y + 7 step 2: 3(y + 7) – 2y = 8 step 3: 3y + 7 – 2y = 8 step 4: y + 7 = 8 step 5: y = 1 in which step did ernesto make the first error? step 1 step 2 step 3 step 4

Jack has a piece of red ribbon that is two times as long as his piece of blue ribbon. he says that he can use two different equation to find out how long his piece of red ribbon is compared to his piece of blue ribbon is. is he correct? explain his reasoning

Drag each equation to the correct location on the table. for each equation, determine the number of solutions and place on the appropriate field in the table.

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.