In triangle ABC, if m_A = 30, a = 6, and b= 8, then sin B is

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  sin(B) = 2/3

Step-by-step explanation:

The law of sines tells you the sine of an angle is proportional to the length of the opposite side.

  sin(B)/b = sin(A)/a

  sin(B)/8 = sin(30°)/6 . . . . fill in the given values

  sin(B) = 8(1/2)/6 . . . . . . . .multiply by 8

  sin(B) = 2/3

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.