Answer: 24 boxes of pens
Step-by-step explanation:
Applying parallel line postulate twice
36degree=3x degree +2y degree
126 degrees=12 x degree + 2y degree
So, the two equations are:
3x + 2y = 36
and
12x + 2y = 126
Eliminate x to solve for y
-(3x + 2y)= -(36)
-3x - 2y = -36
Combine the equations
(-3x - 2y)+ (12x + 2y) = (-36) + (126)
-3x -2y + 12x + 2y = -36 + 126
9x = 90
x = 10
Plug value of x back into to the equations to solve for y
3(10) + 2y = 36
30 + 2y = 36
2y =6
y = 3
Optional
Plug x into the other equation to check for error
12(10) +2y = 126
120 + 2y =126
2y = 6
y = 3
Answer:
The answer is A and E
x2+(y−3)2=36
x^{2}+(y+8)^{2}=36x2+(y+8)2=36
11.5x+22 equal to -13x+218
11.5x+22=-13x+218
Now you have an equation. Solve for x:
11.5x+22+13x=-13x+13x+218 (add 13x to both sides)
24.5x+22=218
24.5x+22-22=218-22 (subtract 22 from both sides)
24.5x=196
x=196÷24.5
x=8
After 8 weeks their balances would be the same.
Their balances will be:
11.5x+22=11.5(8)+22=114$
and
-13x+218=-13(8)+218=114$
So, 114$ each.
Hope this was helpful.
