Answer:
y = -2
Step-by-step explanation:
2y + 10 = -3y
subtract 2y from both sides
10 = -5y
divide by -5 for both sides
-2 = y
The three angles of a triangle always add to 180, do the 2 congruent angles must measure 180-120=60. this number must be divided in two since the angles are congruent, so 60/2=30.
[email protected], as needed. so the equation to find x, the size of the congruent angles, would be
x=(180-120)/2
Question 1:To change the new image back into the original image, just do the opposite.
To change the original image to the new image, we added x by 3 and subtracted 7 from y.
To change the new image back to the original image, subtract x by 3 and add 7 to y.
Writing this into an equation gives us the following:
Question 2:An isometry is a transformation of an image where the new image is congruent to the preimage.
The second and third choices are incorrect because the preimage is not congruent to the new image in these two choices.
The fourth choice is incorrect because having the same position is not an isometric transformation.
Thus, the answer is the first choice.
Answer:
Step-by-step explanation:
1. 3x2 + 5x - 4 + 6x2 - x + 7
= combining like terms
= 9x2 + 4x + 3
2. 2y2 - 3y + 6 + y2 - 5y - 1 + (-4) + 2y2 - 2y
= 5y2 - 10y + 1
3. 2x2y - 3xy2 + x2y - 4x2y - 2xy2
= - x2y - 5xy2
4. x2 - y2 + 2x2 - 3xy + 4y2 + 3y2 - 5xy - x2
= 2x2 - 8xy + 6y2