Answer:
x = 8 sqrt(2)
Step-by-step explanation:
Since this is a right triangle
sin 45 = opp side/ hypotenuse
sin 45 = 8/x
Multiply each side by x
x sin 45 = 8/x *x
x sin 45 = 8
Divide each side by sin 45
x sin 45 /sin 45 = 8 /sin 45
x = 8 / sin 45
We know sin 45 = 1/ sqrt (2)
x = 8 / 1 / sqrt(2)
x = 8 sqrt(2)
3x < -6
x < -6/3
x < -2
Therefore, the solution set is {x | x < -2}.
Answer:
The answer is x=10
Step-by-step explanation:
5/6x - 10 = 1/3x -5 multiple both sides by 6
5x - 60 = 2x -30 move the terms
5x - 2x = -30 +60
3x = 30 divide by 3
x = 10
