Hi. Here it is!
I hope this help...
—> And the answer is letter A
Answer: ABCD is a parallelogram.
Step-by-step explanation:
First we plot these point on a graph as given in attachment.
From the attachment we can observe that AD || BC || x-axis .
also, AB ||CD, that will make ABCD a parallelogram , but to confirm we check the property of parallelogram "diagonals bisect each other" , i.e . "Mid point of both diagonals are equal".
Mid point of AC= ![(\dfrac{-5+4}{2},\dfrac{2+5}{2})=(\dfrac{-1}{2},\dfrac{7}{2})](https://tex.z-dn.net/?f=%28%5Cdfrac%7B-5%2B4%7D%7B2%7D%2C%5Cdfrac%7B2%2B5%7D%7B2%7D%29%3D%28%5Cdfrac%7B-1%7D%7B2%7D%2C%5Cdfrac%7B7%7D%7B2%7D%29)
Mid point of BD= ![(\dfrac{-3+2}{2},\dfrac{5+2}{2})=(\dfrac{-1}{2},\dfrac{7}{2})](https://tex.z-dn.net/?f=%28%5Cdfrac%7B-3%2B2%7D%7B2%7D%2C%5Cdfrac%7B5%2B2%7D%7B2%7D%29%3D%28%5Cdfrac%7B-1%7D%7B2%7D%2C%5Cdfrac%7B7%7D%7B2%7D%29)
Thus, Mid point of AC=Mid point of BD
i.e. diagonals bisect each other.
That means ABCD is a parallelogram.
Answer:
See explanation
Step-by-step explanation:
3(x + 4) + 2 = 2 + 5(x – 4)
Step 1: distributive property
3(x + 4) + 2 = 2 + 5(x – 4)
3x + 12 + 2 = 2 + 5x - 20
Step 2: collect like terms
3x + 12 + 2 = 2 + 5x - 20
3x + 14 = 5x - 18
Step 3: Addition property of equality
3x + 14 = 5x - 18
3x + 14 + 18 = 5x - 18 + 18
3x + 32 = 5x
Step 4: subtraction property of equality
3x + 32 - 3x = 5x - 3x
32 = 2x
Step 5: division property of equality
32 = 2x
32/2 = 2x/2
16 = x
x = 16
X=2 or y=-1
these are the points that the graph avoids
Option A: drop of 8 meters would be correct because a drop in this case indicates something has been removed. -8 equals 8 below 0.