Question

What is the value of x?

Answer 1

more ... The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Answer 2

`x = 12`

Explanation:

For resolve this problem I use trigonometry identities.

`sin(\theta) = (OP)/(H)`

Where
`\theta` is the angle of the triangle (45),
`OP` is the opposite side of the angle (
`6√(2)`) and the
`H` is the hypotenuse (
`x`).

Replace the know values in the relation

`sin(45) = (6√(2))/(x)`

Isolate
`x` of the equation and solve

`(6√(2))/(sin(45)) = x\\(6√(2))/((√(2))/(2)) = x\\(12√(2))/(√(2) ) = x\\12 = x`

So the final answer is
`x = 12`