The transformation that can be used to show that ABCDE and its image are congruent is a 90° counterclockwise.
<h3>How to depict the transformation?</h3>
It should be noted that when we rotate a point through 90° counterclockwise, the mapping will be: (x, y) to (-y, x).
In this situation, it van be deduced that the x and y coordinates swapped positions. This illustrates a 90° counterclockwise rotation about the origin..
In this situation, since the rotation is a rigid motion, the two shapes are congruent.
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Answer:
Null Hypothesis, : p 85%
Alternate Hypothesis, : p > 85%
Step-by-step explanation:
We are given that it's been found that 85% of American adults suffer from triskaidekaphobia (fear of the number 13).
A USA Today/Gallup poll asked 1,006 randomly selected people 18 years old and older in telephone interviews "Suppose you checked into a hotel and were given a room on the thirteenth floor. Would this bother you or not?" 87% of the survey respondents answered they would be bothered.
Let p = <u><em>proportion of respondents who would be bothered about given a room on the thirteenth floor</em></u>
SO, Null Hypothesis, : p 85%
Alternate Hypothesis, : p > 85%
Here, <u>null hypothesis states that</u> the proportion of respondents who would be bothered about given a room on the thirteenth floor is less than or equal to 85%.
On the other hand, <u>alternate hypothesis states that</u> the proportion of respondents who would be bothered about given a room on the thirteenth floor is more than 85%.
Hence, this would be the correct null and alternative hypothesis.
Answer:
see below
Step-by-step explanation:
y = −1.5x + 3.5 is the equation of the line
Points: (5,-4), (-1,5)
Formula (y=mx+c): y = −1.5x + 3.5
Slope m: -1.5
Y-intercept b: 3.5
Parallel lines: −1.5x + any number
Perpendicular lines: 0.666666666667x + any number
I’m very sorry but I don’t know this answer my pardon by any chance do you know what’s 56x5y-3