Question

△ABC ~ △XYZ. Find X. Thanks!

Answer 1

Answer:

$\huge \: \boxed{ \boxed{21}}$

Step-by-step explanation:

according to the question

$\frac{14}{2x + 7} = \frac{x - 3}{63}$

$882 = (x - 3)(2x + 7)$

$0 =882 - (x - 3)(2x + 7)$

$882 - (2 {x}^{2} + x - 21) = 0$

$882 - {2x}^{2} - x + 21 = 0$

$- {2x}^{2} - x + 903 = 0$

$2x + x - 903 = 0$

$(2x + 43)(x - 21) = 0$

$x = - \frac{43}{2} \\ x = 21$

$\huge \therefore x = 21$