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4-83.

In parts (a) through (c) below, refer to the previous problem. You will find the length of the line segments in problem 4-82 by substituting given values for the variables. For example, if $x$ is $3$ units in part (a) of problem 4-82, the line segment would be $3 + 1 + 3 = 7$ units long.

1. Find the length of the line segment in part (a) of problem 4-82 using $x = 4\frac { 1 } { 2 }$.

Substitute $4\frac{1}{2}$ for $x$ in the expression you wrote for part (a) of problem 4-82.

$4\frac{1}{2}+1+4\frac{1}{2}=4+4+1+\left(\frac{1}{2}+\frac{1}{2}\right) = 10\text{ units}$

2. Find the length of the line segment in part (b) of problem 4-82 using $m = 4$.

After substituting $4$ for $m$, the expression for the length of the line segment is $4 + 4 + 4 + 5$.

3. Find the length of the line segment in part (c) of problem 4-82 using $y = 5.5$.

• Your new expression will look like $5.5 + 2 + 5.5 + 2$. Find the value of this expression to determine the length of the line segment.