Answer:
x ≤ 10
Step-by-step explanation:
X+(x+2)+(x+4)=3639
3x+6=3639
3x=3633
X=1211
Numbers are: 1211, 1213, 1215
X+(x+2)+(x+4)=672
3x+6=672
3x=666
X=222
Numbers are: 222,224,226
Answer:
Circumference(C) of the circle is given by:
![C = 2 \pi r](https://tex.z-dn.net/?f=C%20%3D%202%20%5Cpi%20r)
where, r is the radius of the circle.
As per the statement:
A circular swimming pool has a radius of 15 ft.
⇒radius of the pool(r) = 15 ft
There is a path all around that pool that is three feet wide.
⇒radius of the outer edge of the path around the pool(r') = 15 +3 = 18 ft
Substitute these in the formula we have;
![C = 2 \pi r'](https://tex.z-dn.net/?f=C%20%3D%202%20%5Cpi%20r%27)
⇒![C = 2 \cdot 3.14 \cdot 18 = 113.04 ft](https://tex.z-dn.net/?f=C%20%3D%202%20%5Ccdot%203.14%20%5Ccdot%2018%20%3D%20113.04%20ft)
Therefore, the circumference of the outer edge of the path around the pool is, 113.04 ft
Using proportions, it is found that the coordinates of point P are given as follows: (2,10).
<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.
The segment is partitioned by point P according to the ratio of 3:4, hence:
![P - A = \frac{3}{7}(B - A)](https://tex.z-dn.net/?f=P%20-%20A%20%3D%20%5Cfrac%7B3%7D%7B7%7D%28B%20-%20A%29)
This proportion is applied for both coordinates, hence, for the x-coordinate:
![x - 2 = \frac{3}{7}(2 - 2)](https://tex.z-dn.net/?f=x%20-%202%20%3D%20%5Cfrac%7B3%7D%7B7%7D%282%20-%202%29)
x - 2 = 0
x = 2.
For the y-coordinate:
![y - 4 = \frac{3}{7}(18 - 4)](https://tex.z-dn.net/?f=y%20-%204%20%3D%20%5Cfrac%7B3%7D%7B7%7D%2818%20-%204%29)
y - 4 = 6
y = 10.
Hence the coordinates are (2,10).
More can be learned about proportions at brainly.com/question/24372153
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