Answer:
[tex]\huge\boxed{\sf 22}[/tex]
Step-by-step explanation:
By looking at the line segment, we get to know that:
BD = BC + CD
Given that:
BD = 67
BC = 3x - 2
CD = 4x + 13
Solution:
Put the givens in the above equation made.
67 = 3x - 2 + 4x + 13
67 = 3x + 4x - 2 + 13
67 = 7x + 11
7x = 67 - 11
7x = 56
Divide both sides by 7
x = 56 / 7
x = 8
Now, Finding BC:
= 3x - 2
Put x = 8
= 3(8) - 2
= 24 - 2
= 22
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
Peace!
