34992/81 or 81*x=34992 = 432
We are given that there are a total of 78 students. If we set the following variables:
![\begin{gathered} C=\text{students only in chemestry} \\ P=\text{students only in physics} \\ PC=\text{students in physics and chemistry} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20C%3D%5Ctext%7Bstudents%20only%20in%20chemestry%7D%20%5C%5C%20P%3D%5Ctext%7Bstudents%20only%20in%20physics%7D%20%5C%5C%20PC%3D%5Ctext%7Bstudents%20in%20physics%20and%20chemistry%7D%20%5Cend%7Bgathered%7D)
Then, the sum of all of these must be 78, that is:
![C+P+PC=78](https://tex.z-dn.net/?f=C%2BP%2BPC%3D78)
Since there are 15 in chemistry and physics and 47 in chemistry, we may replace that into the equation and we get:
![47+P+15=78](https://tex.z-dn.net/?f=47%2BP%2B15%3D78)
Simplifying:
![62+P=78](https://tex.z-dn.net/?f=62%2BP%3D78)
Now we solve for P by subtracting 62 on both sides:
![\begin{gathered} 62-62+P=78-62 \\ P=16 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2062-62%2BP%3D78-62%20%5C%5C%20P%3D16%20%5Cend%7Bgathered%7D)
Therefore, there are 16 students in physics
Steeper and the line shifted +4 up (Talking about the y intercept)
The quadrilateral which can be considered as a "Parallelogram" or "Not necessarily a parallelogram. are second and fourth figure.
"The correct figures are (b) and (d)
<h3>What is a parallelogram?</h3>
A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal).
- The first one is a parallelogram because, the angle are shown are alternate interior angles which defined between two parallel lines.
- The second one is not a parallelogram because, the angle are shown are alternate interior angles which should defined between two parallel lines. But there are no parallel lines.
- The third one is not a parallelogram because, the parallelogram have opposite angles are equals not the adjacent angle.
Here the adjacent angle are given equal.
- The fourth one is a parallelogram because, the opposite side of parallelogram are equal and parallel to each other.
Learn more about parallelogram here:
brainly.com/question/14708246
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