Option (b) [tex]x = \frac{15}{4}[/tex]
Step-by-step explanation:
Using the property SSS
[tex]\frac{6}{6+x} =\frac{8}{8+5}[/tex]
⇔[tex]\frac{6}{6+x} =\frac{8}{13}[/tex]
⇔8(6+x) = 6 × 13
⇔48 + 8x =78
⇔ 8x = 78 - 48
⇔ 8x = 30
⇔x =[tex]\frac{30}{8}[/tex]
⇔[tex]x = \frac{15}{4}[/tex]
