Answer:
The perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.
Step-by-step explanation:
Given : A quarter of a circle with radius labeled 2 in.
Quarter of circle means fourth part of a circle (as shown in image by shaded part).
We have to find the perimeter of this shaded quarter of circle.
Perimeter is the sum of the dimension of the given figure.
Perimeter of circle is 
Since, we are given Quarter circle so its perimeter 
Perimeter of given figure = 
Perimeter of given figure = 
Thus, the perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.
YZ since they are in the same spot in the cong statement
Answer:
Equations:
--- Cindy
--- Ruben
Solution to equation:
Time they have the same amount: 14 minutes
Number of cards they have at that time: 140 flashcards
Step-by-step explanation:
Solving (a): Variables and what they represent
The variables to use are x and y
Where x represent the minutes and y represents the number of flashcards in x minutes
Solving (b): System of linear equation
Cindy:
per minute
Total number of flashcards (y) in x minutes is:
Ruben:
per minute
Total number of flashcards (y) in x minutes is:
Solution to Equations:
Time they have the same amount.
To do this, we 
expressions
i.e.
Collect Like Terms
Number of cards they have at that time.
Here, we simply substitute 14 for x in any of the equations.
or
<h3>
Answer: Vertical angles</h3>
Explanation:
Ignore the ray that angles 2 and 3 are adjacent to. It might help to copy the drawing but erase that ray in question. All we really care about is the X shape the two lines form along with angles 1 and 4. These two angles are opposite one another. We consider them vertical angles. They don't have to align vertically. They simply have to be opposite one another like this in this X configuration. Vertical angles are always congruent to one another.
