Solve systems of equations by graphing. A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system.
If two lines are intersected by a transversal, and the alternate interior angles are equal, then the lines are parallel.
Conversely, if two lines are parallel, then the alternate interior angles formed by the transversal are equal.
So, Ray can made the conclusion that l and m are parallel because alternate interior angles are equal since m∠3 = m∠6.
Do a proportion
First change 1/5 into a whole number first.Which is 1/5 times 60=12
Now do a proportion
14/12=x/60
12x=840
x=70
Simone can peel 70 potatoes in a hour.
We can solve this by converting both measurements to inches.
Orange tree:
1 foot=12 inches
7 feet=84 inches
84 inches + 9 inches = 93 inches total
Lemon tree:
1 yard=3 feet=36 inches
2 feet=24 inches
36 inches + 24 inches + 5 inches=65 inches total
Therefore, the orange tree is taller than the lemon tree.