Answer:
C
Step-by-step explanation:
These are similar triangles due to the SAS Postulate so we can set equal proportions using the side lengths:
[tex]\frac{14}{14+5.6} =\frac{12}{12+b}[/tex]
Simplify:
[tex]\frac{14}{19.6} =\frac{12}{12+b}[/tex]
You can simplify the left fraction even further:
[tex]\frac{5}{7} =\frac{12}{12+b}[/tex]
Multiply both sides by 7:
[tex]5=\frac{84}{12+b}[/tex]
Since 84/(12+b)=5, you can rewrite it easier:
[tex]12+b=\frac{84}{5}[/tex]
Isolate the variable:
[tex]b=\frac{84}{5} -12[/tex]
[tex]b=16.8-12[/tex]
[tex]b=4.8[/tex]
