Answer:
79.605
Step-by-step explanation:
sin 31° = 41/x
x = 41/sin 31°
x = 79.605
Use distributive property for each side of the equation
1.) 10(x+2)>-2(6-9x)
2. 10x + 20> -12+18x
Then whatever you do to one side of the equation, you do to the other. So we’re trying to get x alone on one side.
Subtract 10x from each side
3.)20> -12 + 8x
Add 12 to each side
4.) 32>8x
Divide each side by 8 to get x alone
5.) 4 > x
Answer:
10 liters of pure alcohol
Step-by-step explanation:
Create an equation where x is the number of liters of pure alcohol needed:
1x + (0.4)(20) = (20 + x)(0.6)
Simplify:
x + 8 = 0.6x + 12
Solve for x:
0.4x = 4
x = 10
So, 10 liters of pure alcohol have to be added
Answer:
largest angle measures 108°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
8x - 6 + 108 + 14 = 180, simplify left side
8x + 116 = 180 ( subtract 116 from both sides )
8x = 64 ( divide both sides by 8 )
x = 8
Thus
∠ U = 8x - 6 = 8(8) - 6 = 64 - 6 = 58°
Then the largest angle measures 108° ( ∠ B )
