BC = 19
Explanation:
First we have to solve for x.
To do that, we create an equation that goes like this:
AC=AB+BC ---> 53=4x+6 + 2x+5
Now, solve the equation.
Combine like terms
53=4x+6+2x+5
4x+2x and 6+5
53= 6x + 11
Subtract 11 from both sides.
53-11=6x+11-11
42=6x
Divide both sides by 6.
7=x
Now that we know that x=7, we plug that into our BC equation and simplify.
2(7)+5
14+5
19
And there you have it! BC = 19.
Hope this helps!
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