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Find the value of x. please. If your answer is not an integer, write it in simplest radical form with the denominator rationalized.​

Find the value of x please If your answer is not an integer write it in simplest radical form with the denominator rationalized class=

Respuesta :

Answer:

x = [tex]\frac{13}{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{13}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 13 ( divide both sides by 2 )

x = [tex]\frac{13}{2}[/tex]