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balu736 [363]
2 years ago
6

△ABC ~ △XYZ. Find X. Thanks!

Mathematics
1 answer:
Marizza181 [45]2 years ago
8 0

Answer:

<h2>\huge \: \boxed{ \boxed{21}}</h2>

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

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