Answer:
C. Read a variety of sources about the formation of black holes
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Triangle GED and triangle DEH are similar triangles with a common side length DE
The value of x is 24
<h3>How to calculate the value of x</h3>
To calculate x, we make use of the following equivalent ratio
![GD : DH = EG : EH](https://tex.z-dn.net/?f=GD%20%3A%20DH%20%3D%20EG%20%3A%20EH)
Substitute known values
![x + 4 : 35= 44.8 : 56](https://tex.z-dn.net/?f=x%20%2B%204%20%3A%2035%3D%2044.8%20%3A%2056)
Express the ratio as fraction
![\frac{x + 4}{35}= \frac{44.8}{ 56}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20%2B%204%7D%7B35%7D%3D%20%5Cfrac%7B44.8%7D%7B%2056%7D)
Evaluate the quotient
![\frac{x + 4}{35}= 0.8](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20%2B%204%7D%7B35%7D%3D%200.8)
Multiply both sides by 35
![x + 4= 28](https://tex.z-dn.net/?f=x%20%2B%204%3D%2028)
Subtract 4 from both sides
![x= 24](https://tex.z-dn.net/?f=x%3D%2024)
Hence, the value of x is 24
Read more about similar triangles at:
brainly.com/question/12687306
Answer:
D
Explanation:
edge 2022
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The z-scores of the raw creativity scores 7 and 14 are -1.61 and 0.31 respectively
<h3>How to determine the z-scores?</h3>
The given parameters are:
Mean, μ = 12.86
Standard deviation, σ = 3.65
The z-score is calculated using:
![z = \frac{x - \mu}{\sigma}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7Bx%20-%20%5Cmu%7D%7B%5Csigma%7D)
When x = 7, we have:
![z = \frac{7 - 12.86}{3.65}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B7%20-%2012.86%7D%7B3.65%7D)
Evaluate
z = -1.61
When x = 14, we have:
![z = \frac{14 - 12.86}{3.65}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B14%20-%2012.86%7D%7B3.65%7D)
Evaluate
z = 0.31
Hence, the z-scores of the raw creativity scores 7 and 14 are -1.61 and 0.31 respectively
Read more about z-scores at:
brainly.com/question/25638875
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