Add 7 to Y and 5 To x he would be square root of 74
Answer:
![x = 8](https://tex.z-dn.net/?f=x%20%3D%208)
Step-by-step explanation:
Given
The attached figure
Required
Find x
To find x, we make use of the following equivalent ratios:
![LN : LO = NK:OJ](https://tex.z-dn.net/?f=LN%20%3A%20LO%20%3D%20NK%3AOJ)
This gives:
![(x-3) : (x - 4) = (x +2) : (x)](https://tex.z-dn.net/?f=%28x-3%29%20%3A%20%28x%20-%204%29%20%3D%20%28x%20%2B2%29%20%3A%20%28x%29)
Convert to fractions
![\frac{x-3}{x-4} = \frac{x+2}{x}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-3%7D%7Bx-4%7D%20%3D%20%5Cfrac%7Bx%2B2%7D%7Bx%7D)
Cross Multiply
![x(x-3) = (x-4)(x+2)](https://tex.z-dn.net/?f=x%28x-3%29%20%3D%20%28x-4%29%28x%2B2%29)
Open brackets
![x^2-3x = x^2 -4x +2x - 8](https://tex.z-dn.net/?f=x%5E2-3x%20%3D%20x%5E2%20-4x%20%2B2x%20-%208)
Collect Like Terms
![x^2 - x^2-3x +4x -2x =- 8](https://tex.z-dn.net/?f=x%5E2%20-%20x%5E2-3x%20%2B4x%20-2x%20%3D-%208)
![-3x +4x -2x =- 8](https://tex.z-dn.net/?f=-3x%20%2B4x%20-2x%20%3D-%208)
![-1x =- 8](https://tex.z-dn.net/?f=-1x%20%3D-%208)
![-x =- 8](https://tex.z-dn.net/?f=-x%20%3D-%208)
Multiply through by -1
![-1 * -x =- 8*-1](https://tex.z-dn.net/?f=-1%20%2A%20-x%20%3D-%208%2A-1)
![x = 8](https://tex.z-dn.net/?f=x%20%3D%208)
The height of the right cone is 10.68 unit
<h3>What is Volume ?</h3>
Volume is defined as the space occupied by a three dimensional object.
Volume of a right cone is given by
V = π r²h/3
C = 2 π r
r = 247/2 π
3 * 17287 = π r²h
3 * 17287 = π *(247/2 π )²h
h = 51861 *π *4/61009
h = 10.68 unit
Therefore the height of the right cone is 10.68 unit.
To know more about Volume
brainly.com/question/1578538
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