Question

What is the value of x?

Answer 1

Answer:

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

Answer:

$x = 12$

Step-by-step explanation:

For resolve this problem I use trigonometry identities.

$sin(\theta) = \frac{OP}{H}$

Where $\theta$ is the angle of the triangle (45), $OP$ is the opposite side of the angle ($6\sqrt{2}$) and the $H$ is the hypotenuse ($x$).

Replace the know values in the relation

$sin(45) = \frac{6\sqrt{2}}{x}$

Isolate $x$ of the equation and solve

$\frac{6\sqrt{2}}{sin(45)} = x\\\frac{6\sqrt{2}}{\frac{\sqrt{2}}{2}} = x\\\frac{12\sqrt{2}}{\sqrt{2} } = x\\12 = x$

So the final answer is $x = 12$