Solve for x:
2 answers:
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Roosters to chickens is 2 to 8
That means where there are 2 roosters, there are 8 chickens.
Simplify the ratio 2:8
The ratio can be simplified to 1:4
So, for 1 rooster, there are 4 chickens.
Now, the question says that if there are 5 roosters, how many chickens will there be?
1 rooster to 4 chickens
5 roosters to ? chickens
We went from 1 rooster to 5 rooster. We multiplied by 5.
To find out how many chickens there are for 5 roosters, multiply 4 chickens by 5.
4 * 5 = 20
Where there are 5 roosters, there will be 20 chickens.
Another way to solve is as follows:
Your final answer is 20 chickens.<span />
That means where there are 2 roosters, there are 8 chickens.
Simplify the ratio 2:8
The ratio can be simplified to 1:4
So, for 1 rooster, there are 4 chickens.
Now, the question says that if there are 5 roosters, how many chickens will there be?
1 rooster to 4 chickens
5 roosters to ? chickens
We went from 1 rooster to 5 rooster. We multiplied by 5.
To find out how many chickens there are for 5 roosters, multiply 4 chickens by 5.
4 * 5 = 20
Where there are 5 roosters, there will be 20 chickens.
Another way to solve is as follows:
Your final answer is 20 chickens.<span />
Answer:
The rule of dilation is .
The vertices of the dilated triangle are ,
and
, respectively.
Step-by-step explanation:
From Linear Algebra, we define the dilation by the following definition:
(1)
Where:
- Center of dilation, dimensionless.
- Scale factor, dimensionless.
- Original point, dimensionless.
- Dilated point, dimensionless.
If we know that ,
,
,
and
, then dilated points of triangle ABC are, respectively:
(2)
(3)
(4)
The rule of dilation is:
(5)
The vertices of the dilated triangle are ,
and
, respectively.