Hello!
We are told that n and m are parallel.
The angle that measures 105 degrees is supplementary with the alternate interior angle of the angle which measures (3x - 18) degrees. Supplementary angles add to equal 180 degrees, so we can make an equation by first finding the measure of the alternate interior angle.
180 - 105 = 75
The alternate interior angle measures 75 degrees, so we can set that equal to 3x - 18 to solve for x since alternate interior angles are congruent.
75 = 3x - 18
93 = 3x
31 = x
Answer:
x = 31
3(2-y) + y = 4.50
6 - 3y + y = 4.50
- 2y = -1.5
y = 0.75
3x + y = 4.50
3x + 0.75 = 4.50
3x = 3.75
x = 1.25
answer
x = 1.25 and y = 0.75
cost of one lemonade = 75 cents
Answer:
x=2.5
Step-by-step explanation:
Solve for x in this systems of equations, we already have two values which equal y so half the work is finished for us.
Starting with the equation:

Add x to both sides to remove the negative x on the right side of the equation:

Subtract 12 from both sides to remove the 12 on the left side of the equation:

Divide both sides by 2 to cancel out the x coefficient

Answer:
2 boys for every 3 girls
Step-by-step explanation:
24/36 = 6/9 = 2/3, 2 boys for every 3 girls,