Answer: x = 6
<u>Step-by-step explanation:</u>
2[3x - (4x - 6)] = 5(x - 6)
2[3x - 4x + 6] = 5x - 30
2[-x + 6] = 5x - 30
-2x + 12 = 5x - 30
<u>+2x </u> <u>+2x </u>
12 = 7x - 30
<u>+30 </u> <u> +30 </u>
42 = 7x

6 = x
All the angles in a triangle equal 180 degrees.
So,
101+34+x=180
x= the missing angle.
135+x=180
Subtract both sides by 135.
x= 45
The missing angle equals 45 degrees.
I hope this helps!
~kaikers
Sin 3pi/4 is angle 135 degrees or 45 degrees below 180 degrees. Hence it's opposite side is 1 and adjacent is 1, implying the hypothenus is sqrt(2). Hence
Sin 3pi/4 = 1/sqrt(2). Now multiply by sqrt(2)/sqrt(2) to get:
[1/sqrt(2).] * [sqrt(2)/sqrt(2)] = sqrt2)/2
I’m sorry, but could you provide more details to your question?