Answer:
Allie gains 4, she loses 4, she has 0 points.
Step-by-step explanation:
The arrow shows it. Round 1 goes 0 to 4. Round 2 goes 4 to 0.
Each person shakes 7 hands, but once you count the handshake between A and B, you don't need to count the handshake between B and A. There are a total of 8*7/2 = 28 handshakes.
4(x-2) is different because if you distribute the expression it would be 4x-8 and the rest of the expressions are simplified to 4x-2
Answer:
10cm
Step-by-step explanation:
First let's define variables a and x:
a = area of rectangle and square
x = side of square
Now let's create an equation to calculate a using the square and an equation to calculate a using the rectangle:
Using square: 
Using rectangle: 
Now we want to solve for x so let's combine the equations since they are both equivalent to a

Simplify

Solving this we get 10 and -3
Since it is impossible for a square to have a negative side value we can conclude that the value is 10cm
This can then be checked by plugging in 10 as x in our equations and seeing if we get the same a value:
Using square: 
Using rectangle: 
Answer:

Step-by-step explanation:
Please see the attached picture for the full solution.
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