Answer:
[tex]\overline {BC} = 41[/tex]
Step-by-step explanation:
Since you already have the length of [tex]\overline{AC}[/tex], and you need to find the length of [tex]\overline{BC}[/tex], plug the value of [tex]x[/tex] to the length of [tex]\overline{BC}[/tex], in order to get the actual length of [tex]\overline{BC}[/tex] :
Length of [tex]\overline{AC}[/tex] : [tex]x = 8[/tex]
Length of [tex]\overline{BC}[/tex] : [tex]5x + 1[/tex]
Plug in the [tex]x[/tex] to the equation:
[tex]5(8) + 1[/tex]
Solve for the length of [tex]\overline{BC}[/tex] :
[tex]5(8) + 1[/tex]
[tex]40 + 1[/tex]
[tex]41[/tex]
Therefore, [tex]\overline{BC} = 41[/tex].
