Answer:
1) Reflection in the x-axis
A' = (-2, -3)
2) Rotation of 180° clockwise about the origin
A'' = (2, 3)
3) Translation of 3 units down and 4 units to the right
A''' = (6, 0)
Step-by-step explanation:
The transformations are as follows;
1) Reflection in the x-axis
Here the x-coordinate is the same and the y-coordinate changes sign.
Therefore, we have;
A (-2, 3)
After reflection in the x-axis becomes A' = (-2, -3)
2) Rotation of 180° clockwise about the origin
When, a point (x, y) is rotated 180° clockwise about the origin, it becomes (-x, -y)
Therefore, we have;
A' = (-2, -3) becomes A'' = (2, 3)
3) Translation of 3 units down and 4 units to the right
Translation of 3 units down and 4 units to the right = 
Which gives
A''' = (2 + 4, 3 - 3) = (6, 0).
Answer:
Congruence between pentagons
Step-by-step explanation:
The relationship occurs because having two congruent Pentagons and generating a segment within them (or outside), congruence is extrapolated to the triangles generated within them. Thus, if there is congruence among the pentagons, it will exist between the formed triangles. In other words since the two pentagons are congruent, the corresponding angle pair is congruent. also the two corresponding side pairs are also congruent.
In the attached image for example, the ABCDE and KLMNO pentagons are congruent, so all of their internal division lines are also congruent (AC and KM)
Writing the domain in words: negative infinity to three halves and three halves to infinity
So, Option A is correct.
Step-by-step explanation:
We need to find domain of the function: 
<u>Domain:</u>
The domain of function is defined as all the input values for which the function is defined.
In other words we can say that any value of x that makes the denominator zero is not considered as domain of function.
In the function given:
if x= 3/2 then the denominator will be zero and the function will not be defined.
So, value of x should be x>3/2 or x<3/2
We can write domain as: (-∞,3/2)(3/2,∞)
3/2 can be written as three halves.
Writing the domain in words: negative infinity to three halves and three halves to infinity
So, Option A is correct.
Keywords: Domain of Function
Learn more about Domain of function at:
#learnwithBrainly
Answer: D) 9, 12, 15
Step-by-step explanation:
The side lengths need to satisfy the Pythagorean theorem, 
A) 
, which is false.
B) 
, which is false.
C) 
, which is false.
D) 
, which is true.
I'm assuming bridge of nose is just midway between the eyes. So if the cat's right eye is 3 inches from the bridge, then the left eye is 3 inches from the bridge. So the cat's left eye is 6 inches from its right eye.
