Answer:
C is the answer your looking for
Answer:
C
Step-by-step explanation:
N = st
Number of toothpicks = (number of students) x (toothpicks)
Answer:
the solution is (4, 1).
Step-by-step explanation:
The goal here is to "solve this system of linear equations." You need to share that along with the equations.
We can begin the solution by substituting 3y + 1 for x in the second equation:
2(3y + 1) + 4y = 12
Performing the multiplication, we get 6y + 2 + 4y = 12, or 10y = 10.
Then y must be 1.
Substituting 1 for y in the first equation, we get x = 3(1) + 1 = 4
Thus, the solution is (4, 1).
That converse theorem is
.. "If a line divides two sides of a triangle proportionally, then it is parallel to the third side."
Not a part of the theorem (or its proof) is
.. A. A perpendicular line to one side of a triangle.
_____
It seems you're supposed to remember that the theorem involves parallel lines, not perpendicular ones.
We can use substitution.
We can substitute 2x + 3 for 'y' in the 2nd equation.
y = 3x + 5
2x + 3 = 3x + 5
Subtract 3 to both sides:
2x = 3x + 2
Subtract 3x to both sides:
-x = 2
Multiply -1 to both sides:
x = -2
Now we can plug this into any of the two equations to get our y-value:
y = 2x + 3
y = 2(-2) + 3
y = -4 + 3
y = -1
So our solution is (-2, -1)
