im pretty sure that the both of the angles added have to make a total of 180 degrees so, 180-113=67
Answer:
<u>The standard form is:</u>
- (x - h)² + (y - k)² = r², where (h, k) is the center, r is the radius
<u>Convert the given into standard form by completing square:</u>
- x² - 4x + y² + 6y = 12
- x² - 4x + 4 + y² + 6y + 9 = 12 + 4 + 9
- (x - 2)² + (y + 3)² = 25
- (x - 2)² + (y + 3)² = 5²
- The standard form is above.
- The center is (h, k) = (2, -3)
- The radius is r = 5
The kind of transformation the quadrilateral underwent is 180° rotation about the origin and the new vertex of Q is (4,5).
<h3>What is transformation of plane shapes?</h3>
Transformation is the change in the coordinates of the vertices that make up a plane shape.
This can be done either by translation, reflection or rotation.
Analysis:
since the x and y coordinates of P is the opposite of the coordinates of p' then there is a 180° rotation about the origin.
If vertex Q is (-4, -5), then Q' is the opposite which is (4, 5 )
In conclusion, the transformation is a 180° rotation and the coordinates of Q' are (4, 5).
Learn more about transformation: brainly.com/question/4289712
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Answer:
Joe wants to know how much wood is needed to make a picture frame. (3rd)
Step-by-step explanation:
Does it have to have more than 1 answer? cause if not the answer is in the picture
