Answer:
Please include a photo of model please!
Step-by-step explanation:
Answer:
2(8x+1)+2(6x-4)
28x - 6
Step-by-step explanation:
2(8x+1)+2(6x-4)
16x +2 + 12x - 8
28x - 6
Given
A single die is rolled.
To find the probability of rolling an odd number or a number less than 6.
Explanation:
It is given that,
A single die is rolled.
Then, the sample space is,
![\begin{gathered} S=\lbrace1,2,3,4,5,6\rbrace \\ n(S)=6 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20S%3D%5Clbrace1%2C2%2C3%2C4%2C5%2C6%5Crbrace%20%5C%5C%20n%28S%29%3D6%20%5Cend%7Bgathered%7D)
Let A be the event of getting an odd number.
Then,
![\begin{gathered} A=\lbrace1,3,5\rbrace \\ n(A)=3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D%5Clbrace1%2C3%2C5%5Crbrace%20%5C%5C%20n%28A%29%3D3%20%5Cend%7Bgathered%7D)
Let B be the event of getting a number less than 6.
Then,
![\begin{gathered} B=\lbrace1,2,3,4,5\rbrace \\ n(B)=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20B%3D%5Clbrace1%2C2%2C3%2C4%2C5%5Crbrace%20%5C%5C%20n%28B%29%3D5%20%5Cend%7Bgathered%7D)
Also,
![\begin{gathered} A\cap B=\lbrace1,3,5\rbrace \\ n(A\cap B)=3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%5Ccap%20B%3D%5Clbrace1%2C3%2C5%5Crbrace%20%5C%5C%20n%28A%5Ccap%20B%29%3D3%20%5Cend%7Bgathered%7D)
Therefore,
![\begin{gathered} P(A\cup B)=P(A)+P(B)-P(A\cap B) \\ =\frac{n(A)}{n(S)}+\frac{n(B)}{n(S)}-\frac{n(A\cap B)}{n(S)} \\ =\frac{3}{6}+\frac{5}{6}-\frac{3}{6} \\ =\frac{3+5-3}{6} \\ =\frac{5}{6} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%28A%5Ccup%20B%29%3DP%28A%29%2BP%28B%29-P%28A%5Ccap%20B%29%20%5C%5C%20%3D%5Cfrac%7Bn%28A%29%7D%7Bn%28S%29%7D%2B%5Cfrac%7Bn%28B%29%7D%7Bn%28S%29%7D-%5Cfrac%7Bn%28A%5Ccap%20B%29%7D%7Bn%28S%29%7D%20%5C%5C%20%3D%5Cfrac%7B3%7D%7B6%7D%2B%5Cfrac%7B5%7D%7B6%7D-%5Cfrac%7B3%7D%7B6%7D%20%5C%5C%20%3D%5Cfrac%7B3%2B5-3%7D%7B6%7D%20%5C%5C%20%3D%5Cfrac%7B5%7D%7B6%7D%20%5Cend%7Bgathered%7D)
Hence, the answer is 5/6.
Similar triangles are triangles with equal corresponding angles and proportionate sides. Thus the pair of similar triangles will be:
Δ ADE≈ΔACF≈Δ ABG
this implies that the corresponding angles are equal. Thus:
∠B=∠C=∠D
∠G=∠F=∠E
and the ratio of corresponding sides are equal