The first figure is dilated to form the second figure.
1 answer:
1) The scale factor is 0.25 is true.
Step-by-step explanation:
Step 1:
The first figure is dilated to form the second figure. The shape is a rhombus.
It is given that the side length of the first figure is 5.8 and the side length of the second figure is 1.45.
Step 2:
To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the side length of the rhombus.
The scale factor
So the scale factor is 0.25. This is the first option.
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Answer:
Number of student tickets sold are 57 and general tickets sold are 68.
Step-by-step explanation:
Let the number of student tickets = x and the number of general tickets = y.
It is given that in total 125 tickets were sold.
So, we have,
Also, students tickets is sold for $6 each and the general tickets are sold for $10 each.
Since, the total cost of the tickets is $1022.
So, we get,
Thus, the system of equations obtained is,
x + y = 125 ........................(1)
6x + 10y = 1022
Multiply equation (1) by 6 gives us,
6x + 6y = 750 ............................(2)
6x + 10y = 1022 .........................(3)
Subtact (2) from (3), we get,
10y - 6y = 1022 - 750
i.e. 4y = 272
i.e. y= 68.
So, equation (1) gives,
x = 125 - y
i.e. y = 125 - 68
i.e. y = 57
Hence, the number of student tickets sold are 57 and general tickets sold are 68.