Answer:
There are a number of ways to show whether a quadrilateral placed on a coordinate plane is a parallelogram or not. Here are a few ways:
1. Show that both pairs of opposite sides are congruent.
2. Show that both pairs of opposite sides are parallel
3. Show that a pair of opposite sides are congruent and parallel
4. Show that the diagonals bisect each other.
In this activity, we will use the Distance, Midpoint and Slope Formulas that we learned in Algebra 1 to show congruent, bisected and parallel segments.
Midpoint, Slope and Distance Formula Review.
The midpoint of a segment in the coordinate plane with endpoints
Step-by-step explanation:
P= 2(x+1) + 3(x-8)
= 2x+2+3x-24
= 5x-22
The answer is 8. Hope this helps.
Let "a" and "b" represent the numbers of people on teams Alpha and Beta, respectively. The problem statement tells you
a = (1/4)b
b - 6 - 12 = a + 12
The first equation can be rewritten to give an expresion for b:
b = 4a
This can be substituted into the second equation to get
4a -18 = a +12
3a = 30
a = 10
There were originally 10 people on team Alpha.
5x5+5x2 and I think that is a good way to explain this