School newspaper staff went to three different sports games to survey students on their favorite sport, and the results are show
1 answer:
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Answer:
Correct answer is:
The transformation was a 180° rotation about the origin.
Step-by-step explanation:
Given the triangle RST formed by points:
is transformed using (x, y) → (–x, –y) such that coordinates of triangle R'S'T' :
Please refer to the attached image for the given dimensions and coordinates.
It is clearly visible that:
The given triangle RST has coordinates in first quadrant.
and the resulting coordinates R'S'T' are in third quadrant.
The rotation of angle from 1st quadrant to 2nd quadrant is and
The rotation of angle from 2nd quadrant to 3rd quadrant is .
<em></em><em> total rotation is </em>
.
Answer:
The sum of money received by Ali, Carrie and Bryan is $ 740.
Step-by-step explanation:
At first we translate mathematically each sentence:
(i) <em>Ali, Carrie and Bryan received a sum of money. </em>
- Ali's money.
- Bryan's money.
- Carrie's money.
(ii) <em>Bryan's money was </em><em> of Ali's money</em>.
(1)
(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.
(2)
(iv) <em>Ali had $ 160 more than Bryan</em>.
(3)
After some algebraic handling, we have the following system of linear equations:
(1b)
(2b)
(3b)
The solution of the system is: ,
,
The sum of money is:
The sum of money received by Ali, Carrie and Bryan is $ 740.