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Angle 4 is congruent to Angle 7 because of the theorem If 2 parallel lines are cut by a transversal then corresponding angles are congruent (Thats the reason for statement 2). The 3rd statement is correct if the reason for it is not supplementary angles but is angle addition postulate (The reason for the third one is angle addition postulate). Lastly, the answer isnt transitive property but is substitution propert because you substitute angle 7 with angle 4 (last reason is substitution).
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Answer: 2x² - 8x + 9
Step-by-step explanation: this is our initial equation:
(4x² – 3x + 2) - (2x² + 5x - 7)
the subtraction sign which is to the left values is multiplying to the values into the parenthesis
(-) * (2x² + 5x - 7)
so this factor change the sign to every value into the parenthesis, then we get the following equation.
-2x² - 5x + 7
after this we get this final equation
4x² – 3x + 2 - 2x² - 5x + 7
then we resolve the equation with the similar values
4x² - 2x² = 2x²
– 3x - 5x = - 8x
+ 2 + 7 = 9
after this we place values in one equation, and we get the form simplified
2x² - 8x + 9
and this the last equation after resolve all the problems into the parenthesis.
