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:
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Answer:
10 m/s²
Explanation:
Near Earth's surface, gravitational acceleration is approximately 9.81 m/s2, which means that, ignoring the effects of air resistance, the speed of an object falling freely will increase by about 9.81 metres per second every second.
Answer:
Binary systems are the easiest, where there are two stars in a solar system instead of one.
Explanation:
When there are two stars in a solar system, instead of one, the stars orbit each other. Astronomers can measure quite a bit of information about the movement of the stars. This includes how fast they travel around each other and how often they fully orbit each other. From this information, the mass can be calculated. Note that this information can then be used to estimate the masses of other stars that fit the same type of categories in solar systems with a single star.
The ways Jeremy can use math and science in his career are:
- Perform scientific research.
- In the evaluations and analyzes, he makes of his data collection.