The complete similarity transformation is: triangle abc was dilated by a scale factor of [2], reflected across the [x-axis], and moved through the translation [0].
<h3><u>
What is Similarity?</u></h3>
- When it comes to Euclidean geometry, two things are said to be comparable if they have the same shape or the same shape as each other's mirror image.
- More specifically, by uniformly scaling (enlarging or decreasing), maybe with additional translation, rotation, and reflection, one can be created from the other.
- This indicates that one object may be properly aligned with the other object by rescaling, moving, and reflecting it. When two things are comparable to one another, one is consistent with the outcome of a specific uniform scaling of the other.
From the figure, we have:
AB = 2 units
DE = 4 units
So, the scale factor (k) is:
k = DE/AB
k = 4/2
k = 2
Also, both shapes are on either sides of the x-axis, and they are equidistant from the x-axis.
This means that the triangle is reflected across the x-axis with no translation.
Hence, the complete similarity transformation is: abc was dilated by a scale factor of [2], reflected across the [x-axis], and moved through the translation [0].
So, the scale factor is 2
Know more about Similarity with the help of the given link:
brainly.com/question/12670209
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Answer:
center = 98.6, variability = 0.08
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean 
and standard deviation 
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation 
The center is the mean.
So 
The standard deviation of the sample of 50 adults is the variability, so
So the correct answer is:
center = 98.6, variability = 0.08
For this, let's have:
n represent each number, the number after it is its place in sequence
/ means divide
n1 /2 = n2, etc.
Answer: a continuous random variable
Step-by-step explanation:
<u><em>Can you count the distance it traveled?</em></u> You can't, so it couldn't be discrete because you can count discrete variables.
<u><em>Can you measure the distance it traveled? </em></u>You sure can, that makes it a continuous random variable.
<u><em>Do you know the exact distance it's going to travel?</em></u><u> </u>You won't, therefore it's a random variable since you don't know the value beforehand.
Answer:
Length = 30
Height = 10
Step-by-step explanation:
Formula for the area = height * length. We know that the height of the wall is 1/3 of its length. This gives us another formula which is 
Now substitute this into the formula, while knowing that the area is 300.
So we have 300 = 
Solving for l gives us 30 and then substituting it back into the equation
, will give us that the height is 10.
Hope this helps
