Question

Use the diagram below to find x. a) 4/15 b) 15/4 c) 4 d) 18/4

Answer 1

Option (b)      $x = \frac{15}{4}$

Step-by-step explanation:

Using the property SSS

$\frac{6}{6+x} =\frac{8}{8+5}$

⇔$\frac{6}{6+x} =\frac{8}{13}$

⇔8(6+x) = 6 × 13

⇔48 + 8x =78

⇔ 8x = 78 - 48

⇔ 8x = 30

⇔x =$\frac{30}{8}$

⇔$x = \frac{15}{4}$