The length of UC is 18
<h2>Explanation </h2>First we are going to find the length of JN; then we are subtracting from it the length of JU plus the length of CN.
We can infer from our picture that JN is 82 + 105, so JN = 187
We can also infer that JU = JH + HU
JU = 22 + 96
JU = 118
We can also infer that CN = 51
Now we can fin the length of UC:
We can conclude that the length of UC is 18.
For this case we have the following variable:
p: cost of the item that Arthur wants to buy before tax
The expression for the 6% tax is given by:
Or equivalently:
Therefore, two different expressions for the total cost are:
Expression 1:
Expression 2:
To prove that they are equal, suppose that the item costs $ 100:
Expression 1:
Expression 2:
Since the cost is the same, then the expressions are the same.
Answer:
Two different expressions that model the problem are: