Answer:
15
Step-by-step explanation:
AC is the entire line segment.
AB and BC together make AC.
⇒ AB + BC = AC
⇒ [tex](2x+2)+(3x+6)=23[/tex]
Open the parentheses
[tex]2x+2+3x+6=23[/tex]
Combine like terms
[tex]5x+8=23\\5x=15\\x=3[/tex]
Therefore, x=3. Plug this into 3x+6 to find BC:
[tex]3x+6\\= 3(3)+6\\=9+6\\=15[/tex]
Therefore, BC is 15.
I hope this helps!
