Oh ok so the answer is .666666666666 etc infinite 6s
Answer:
1 1/6
Step-by-step explanation:
10/4*1/3=10/12=5/6= 1 1/6
Hello there today we will solve your problem, we will need to factorize btw...
![{\huge{\boxed{\mathfrak{Equation}}}](https://tex.z-dn.net/?f=%7B%5Chuge%7B%5Cboxed%7B%5Cmathfrak%7BEquation%7D%7D%7D)
![{\big{\boxed{\frac{x^2-5x+4}{x^2-4x}}}}](https://tex.z-dn.net/?f=%7B%5Cbig%7B%5Cboxed%7B%5Cfrac%7Bx%5E2-5x%2B4%7D%7Bx%5E2-4x%7D%7D%7D%7D)
First we will factor
, which gives us ![\left(x-1\right)\left(x-4\right)](https://tex.z-dn.net/?f=%5Cleft%28x-1%5Cright%29%5Cleft%28x-4%5Cright%29)
![\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{\left(x-1\right)\left(x-4\right)}{x^2-4x}\\](https://tex.z-dn.net/?f=%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5Cfrac%7B%5Cleft%28x-1%5Cright%29%5Cleft%28x-4%5Cright%29%7D%7Bx%5E2-4x%7D%5C%5C)
factorize
giving us
![\frac{\left(x-1\right)\left(x-4\right)}{x\left(x-4\right)}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%28x-1%5Cright%29%5Cleft%28x-4%5Cright%29%7D%7Bx%5Cleft%28x-4%5Cright%29%7D)
cancel the common factor ![x-4](https://tex.z-dn.net/?f=x-4)
and we get ![\frac{x-1}{x}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-1%7D%7Bx%7D)
Lets BC =x
8/5 = 32/x
8x =32 * 5
8x = 160
x = 160/8
x = 20
answer
BC = 20