Answer:
0.8125
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Answer:
There are 7456 seats on the lower level and there are 5044 seats on the middle level.
Step-by-step explanation:
Let 'X" be the number of seats on the upper level. Then we can find how many seats are on the lower level by solving the following equation...
# of seats on the lower level = 3x - 50
# of seats on the lower level = 3(2502) - 50
# of seats on the lower level = 7456
Now we just make the equation for the number of seats on the middle level, and so we get...
# of seats on the middle level = 2x + 40
# of seats on the middle level = 2(2502) + 40
# of seats on the middle level = 5044
Solution:
Given the triangle ABC as shown below:
To draw the image,
step 1: Determine the coordinates of the vertices of the triangle.
In the above graph,
![\begin{gathered} A(6,7) \\ B(9,9) \\ C(8,6) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%286%2C7%29%20%5C%5C%20B%289%2C9%29%20%5C%5C%20C%288%2C6%29%20%5Cend%7Bgathered%7D)
step 2: Evaluate the new coordinates A'B'C' of the triangle after a dilation centered at the origin with a scale factor of 2.
After a dilation centered at the origin with a scale factor of 2, the iniatial coordinates of the vertices of the triangle are multiplid by 2.
Thus,
![\begin{gathered} A(6,7)\to A^{\prime}(12,14) \\ B(9,9)\to B^{\prime}(18,18) \\ C(8,6)\to C^{\prime}(16,12) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%286%2C7%29%5Cto%20A%5E%7B%5Cprime%7D%2812%2C14%29%20%5C%5C%20B%289%2C9%29%5Cto%20B%5E%7B%5Cprime%7D%2818%2C18%29%20%5C%5C%20C%288%2C6%29%5Cto%20C%5E%7B%5Cprime%7D%2816%2C12%29%20%5Cend%7Bgathered%7D)
step 3: Draw the triangle A'B'C'.
The image of the triangle A'B'C' is as shown below: