Answer:
You didn't attach an image so I will assume that AC and BD are opposite sides. In a parallelogram, opposite sides are congruent which means:
2y + 7 = 3y - 4
-y = -11
y = 11
Since there is a total of 17 pens and 2 are removed then there is 15 left. the probability is 5/17 on the first draw and 4/16 (simplified is 1/4) on the second draw.
1) local shopping mall
This is most relevant to spending habits. This would be where people would be spending money on a lot of different things and where their spending habits would show. It'd make the most sense to survey people there.
To solve this, you know that both values listed (4x - 3 and -3x + 4) are equal to y, so you know that they also must be equal to each other! Therefore you can form the following equation:
4x - 3 = -3x + 4
Now you can add -3x to both sides to combine like terms:
7x - 3 = 4
Now add 3 to both sides:
7x = 7
Now if you divide everything by seven, you see that x = 1. Now that we have out x value, we can go ahead and plug it into one of the equations. This gives us:
y = 4(1) - 3
If we multiply out, we get:
y = 4 - 3
y = 1
So y also equals 1! Now that we have our answers, we can simply put them into an ordered pair which should be in the form of (x value, y value.)
Our final answer will be (1, 1).
Hope this helps!