Question

I need help in geometry

Answer 1

15

Explanation:

AC is the entire line segment.

AB and BC together make AC.

⇒ AB + BC = AC

⇒
`(2x+2)+(3x+6)=23`

Open the parentheses

`2x+2+3x+6=23`

Combine like terms

`5x+8=23\\5x=15\\x=3`

Therefore, x=3. Plug this into 3x+6 to find BC:

`3x+6\\= 3(3)+6\\=9+6\\=15`

Therefore, BC is 15.

I hope this helps!