Answer:
Step-by-step explanation:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
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Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)
Point B = (0, 3) becomes B ' = (0, -3)
Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
Answer:
See below
Step-by-step explanation:
d = 78° (Vertical angles)
h = 70° (Vertical angles)
Measure of angles d and h are are not equal. therefore they are not congruent.
The resale value after 3 years would be 387.50. Hope this helps!
Answer:
Starting from the one on the left.
Upper left:
145 degrees
Down left:
35 degrees
Down right:
145 degrees.
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Now for the right image.
Upper left:
153 degrees
Down left:
27 degrees
Down right:
153 degrees
Step-by-step explanation:
Apply the same steps for the second image as for the first.
One thing to keep in mind is that a flat line (horizontal or vertical), as an angle of 180 degrees.
And another useful reminder is that opposed angles have the same degree.
Starting from the one on the left.
Upper left:
180 - 35 = 145 degree
Down left:
since it is opposed to the upper right angle which is 35 degrees this one is also equal to 35 degrees.
Down right:
since it is opposed to the upper left angle which is 145 degrees this one is also equal to 145 degrees.
You can always double check by making sure one flat side (left or right or up or down), is equal to 180 degrees.
example: on the right image, for the down part, I wrote as answers 27 degrees (for down left because it is opposed to upper right) and 153 degrees (for down right because it is opposed to upper left) => 153 + 27 = 180 degrees
