Answer:
[tex]\mathsf{BC=\dfrac98}[/tex]
Step-by-step explanation:
[tex]\mathsf{B=\left(1\frac38, \frac58\right)}[/tex]
[tex]\mathsf{C=\left(1\frac38, -\frac12\right)}[/tex]
The x-value of points B and C are the same.
Therefore, the segment line between these two points is vertical.
To find the length of BC, simply find the difference between the y-values of the two points:
[tex]\dfrac58--\dfrac12=\dfrac58+\dfrac12=\dfrac58+\dfrac48=\dfrac98[/tex]
Therefore, the length of BC is [tex]\dfrac98[/tex]