There are certain rules to follow when rotating a point 90 deg clockwise. Since it is given that ABCD is a parallelogram and the coordinates of point C are given, we just have to follow this simple relation:
R(90 deg) : (X,Y) ---> (-Y,X)
Using the given coordinates:
R(90 deg<span>) : (-4,1) ---> (-1,-4)
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Therefore, Point C' will be located at (-1,-4)
Answer: 200 adult tickets and 400 student tickets were sold.
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of student tickets that were sold.
Adult tickets to a play cost $1.75 each and student tickets cost $1.25 each. If the income from the play was $850, the expression would be
1.75x + 1.25y = 850- - - - - - - - - -1
Suppose there are twice as many student tickets sold as adult tickets. This is expressed as
y = 2x
Substituting y = 2x into equation 1, it becomes
1.75x + 1.25 × 2x = 850
1.75x + 2.5x = 850
4.25x = 850
x = 850/4.25
x = 200
y = 2x = 2 × 200
y = 400
Given:
A triangle ABC.
The given expression for b is:
To find:
The expression that is equivalent to b.
Solution:
According to the Law of Cosines,
It can be written as:
...(i)
We have,
...(ii)
On comparing (i) and (ii), we get
Therefore, the required values are 
.
Answer:
the answer is A
Step-by-step explanation:
Answer:
Length of Sofa: 6ft / Height of scale model: 15in
Step-by-step explanation:
Sofa:
1 inch = 1 foot
6 inches * 1 foot = 6 feet
Scale Model:
60 feet to a 4 inch scale
60 feet / 4 inches = 15 inches (aka 60 feet)
