Question

What is the value of X?

Enter your answer, as a decimal, in the box. Do not round your answer.

X=

Answer 1

∆ABC similar to ∆CBD

DB/AC = CB/AB

`(x)/(7.5) = (7.5)/(x + 3) \\ x(x + 3) = {7.5}^(2) = { ((15)/(2)) }^(2) \\ {x}^(2) + 3x = (225)/(4) \\ 4 {x}^(2) + 12x = 225 \\ 4 {x}^(2) + 12x + 9 = 216 \\ {(2x + 3)}^(2) = 216 \\ 2x + 3 = 6 √(6) \\ x = - 1.5 + 3 √(6)`

approximately 6.1485

Answer 2

The answer is 5.625!!!!!!!

Explanation: