Given:
The figure of a triangle.
To find:
The missing length.
Solution:
Let x be the missing length.
Basic proportionality theorem(BPT): According to this theorem, if a line is parallel to the one side of a triangle then that the line intersects the other two sides of the triangle in the same ratio.
Using Basic proportionality theorem, we get
![\dfrac{6}{8-6}=\dfrac{12-x}{x}](https://tex.z-dn.net/?f=%5Cdfrac%7B6%7D%7B8-6%7D%3D%5Cdfrac%7B12-x%7D%7Bx%7D)
![\dfrac{6}{2}=\dfrac{12-x}{x}](https://tex.z-dn.net/?f=%5Cdfrac%7B6%7D%7B2%7D%3D%5Cdfrac%7B12-x%7D%7Bx%7D)
![3=\dfrac{12-x}{x}](https://tex.z-dn.net/?f=3%3D%5Cdfrac%7B12-x%7D%7Bx%7D)
![3x=12-x](https://tex.z-dn.net/?f=3x%3D12-x)
Adding x on both sides, we get
![3x+x=12](https://tex.z-dn.net/?f=3x%2Bx%3D12)
![4x=12](https://tex.z-dn.net/?f=4x%3D12)
![x=\dfrac{12}{4}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B12%7D%7B4%7D)
![x=3](https://tex.z-dn.net/?f=x%3D3)
The missing length is 3 Therefore, the correct option is D.
Answer:
312.5
Step-by-step explanation:
Is means equals and of means multiply
75 = 24% * n
Change to percent form
75 = .24 n
Divide each side by .24
75/ .24 = .24n/.24
312.5 = n
Step-by-step explanation:
yes D is the correct answer k
Answer:
use brainly points
Step-by-step explanation: