Answer:
Since we knew that the triangles in the picture are similar, we have:
10/22 = y/33
=> y = (33 . 10)/22 = 15
![n(X\cup Y)=n(X)+n(Y)-n(X\cap Y)](https://tex.z-dn.net/?f=n%28X%5Ccup%20Y%29%3Dn%28X%29%2Bn%28Y%29-n%28X%5Ccap%20Y%29)
If
![X](https://tex.z-dn.net/?f=X)
and
![Y](https://tex.z-dn.net/?f=Y)
share no common elements, then
![n(X\cap Y)=0](https://tex.z-dn.net/?f=n%28X%5Ccap%20Y%29%3D0)
, which means
![n(X\cup Y)=n(X)+n(Y)=47](https://tex.z-dn.net/?f=n%28X%5Ccup%20Y%29%3Dn%28X%29%2Bn%28Y%29%3D47)
On the other hand, if the smaller set is entirely contained within the larger set, i.e.
![Y\subseteq X](https://tex.z-dn.net/?f=Y%5Csubseteq%20X)
, then
![X\cap Y=Y](https://tex.z-dn.net/?f=X%5Ccap%20Y%3DY)
, and so
![n(X\cup Y)=n(X)+n(Y)-n(Y)=n(X)=28](https://tex.z-dn.net/?f=n%28X%5Ccup%20Y%29%3Dn%28X%29%2Bn%28Y%29-n%28Y%29%3Dn%28X%29%3D28)
.
Answer:
5.5
Step-by-step explanation:
18 = 6(2x - 8)
18/6 = 2x - 8
3 = 2x - 8
2x = 11
x = 11/2 or 5½
Answer:
No
Step-by-step explanation:
5/3 : 1/6
![\dfrac{\dfrac{5}{3}}{\dfrac{1}{6}}=\dfrac{5 }{3} *\dfrac{6}{1} =\dfrac{30}{3} = 10](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cdfrac%7B5%7D%7B3%7D%7D%7B%5Cdfrac%7B1%7D%7B6%7D%7D%3D%5Cdfrac%7B5%20%7D%7B3%7D%20%2A%5Cdfrac%7B6%7D%7B1%7D%20%3D%5Cdfrac%7B30%7D%7B3%7D%20%3D%2010)
No the ratio is 10:1 not 1:10
7+3=10
300÷10=30
30×7=210
30×3=90
=210:90