Question

Solve for x:

Question 5 options:

13


14


12


11

Answer 1

13

Explanation:

`In\: \triangle TVW, \: VW ||SU... (given) \\ \\ </p><p>\therefore</p><p>\frac{TV} {VS} = \frac{TW} {WU} \\(By \: basic \: Proportionality \: Theorem) \\ \\ \therefore (14)/(6) = (21)/(x - 4) \\ \\ \therefore \: x - 4 = (21 * 6)/(14) \\ \\ \therefore \: x - 4 = (3 * 6)/(2) \\ \\ \therefore \: x - 4 = 3 * 3 \\ \\ \therefore \: x - 4 = 9 \\ \\ \therefore \: x = 9 + 4 \\ \\ \huge \red{ \boxed{\therefore \: x = 13}} \\`