well, let's keep in mind that the SAS postulate, so if one Side and the Angle next to it and the following Side after the angle are equal on both triangles, both triangles are congruent. Now, we have the angle 30° with sides and 9 and 2x and sides 9 and x + 4, well, the 9's are equal, dohh, you know, if only the 2x = x + 4, we'd be golden
![2x = x + 4\implies 2x - x = 4\implies \boxed{x = 4}](https://tex.z-dn.net/?f=2x%20%3D%20x%20%2B%204%5Cimplies%202x%20-%20x%20%3D%204%5Cimplies%20%5Cboxed%7Bx%20%3D%204%7D)
Using proportions, it is found that the differential equation which describes the growth of the pigeon population is given by:
![\frac{dP}{dt} = 1.5P](https://tex.z-dn.net/?f=%5Cfrac%7BdP%7D%7Bdt%7D%20%3D%201.5P)
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering the initial population and the population one week later, the rate of growth is given by:
k = 9/6 = 1.5.
The standard differential equation for population growth is:
![\frac{dP}{dt} = kP](https://tex.z-dn.net/?f=%5Cfrac%7BdP%7D%7Bdt%7D%20%3D%20kP)
Hence:
![\frac{dP}{dt} = 1.5P](https://tex.z-dn.net/?f=%5Cfrac%7BdP%7D%7Bdt%7D%20%3D%201.5P)
More can be learned about proportions at brainly.com/question/24372153
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YES IT IS HOPE IT HELPS YOU ALOT . .
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