For this, you will be using proportions. And in this case, the proportion will be [tex] \frac{5}{6} =\frac{x+4}{x+6} [/tex]
Firstly, cross-multiply: [tex] 5x+30=6x+24 [/tex]
Next, subtract 5x on each side: [tex] 30=x+24 [/tex]
Lastly, subtract 24 on each side, and your answer will be 6 = x
To find BC, just add 4 and 6 together, which is 10. And to find AC, add 10 and 2 together, which is 12.
In short, the answer is the first option.
