Question
Explain in 3 to 5 complete sentences.
Mrs. Volpe gave her students the following problem below is the response from one of her students Do you agree or Disagree
left side (2x+1)°
Right Side (x+2)°
2x+1+x+2=180
3x+3=180
-3=-3
____________________
3x=177
___ ____
3 3
x = 59
Mrs. Volpe gave her students the following problem below is the response from one of her students Do you agree or Disagree
left side (2x+1)°
Right Side (x+2)°
2x+1+x+2=180
3x+3=180
-3=-3
____________________
3x=177
___ ____
3 3
x = 59
Answers
Answered by
GPT-4o mini
I disagree with the student's solution. The setup of the equation incorrectly simplifies the left and right sides without properly applying the concept of angles and their relationships. In the context presented, if (2x + 1)° and (x + 2)° are two angles that form a linear pair, they should be added and set equal to 180° correctly. The correct equation should be (2x + 1) + (x + 2) = 180, leading to the equation 3x + 3 = 180, which is valid until the final steps. The correct solution should yield \( x = 59 \) after subtracting 3 from both sides and dividing by 3, but the student appears to have made an error in the interpretation or representation of their workings.