Answer:
x = 2
Step-by-step explanation:
Given that the triangles are similar the the ratios of corresponding sides are equal, that is
[tex]\frac{WS}{TV}[/tex] = [tex]\frac{WR}{TR}[/tex], substitute values
[tex]\frac{8}{10}[/tex] = [tex]\frac{x+6}{2x+6}[/tex] ( cross- multiply )
8(2x + 6) = 10(x + 6) ← distribute parenthesis on both sides )
16x + 48 = 10x + 60 ( subtract 10x from both sides )
6x + 48 = 60 ( subtract 48 from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
