Answer:
2 students
Step-by-step explanation:
32 students are divided into fourths:
32/4 = 8
Each group has 8 people.
1/4 of the students in each group is the same as dividing 8 into fourths:
8/4 = 2
2 students from each group will go up to the front of the classroom.
Hope this helps :)
Answer:
- The quadrilateral is a rectangle
![Perimeter=8\sqrt{2} \,\,Unit](https://tex.z-dn.net/?f=Perimeter%3D8%5Csqrt%7B2%7D%20%5C%2C%5C%2CUnit)
![Area=6\,\,sq.unit](https://tex.z-dn.net/?f=Area%3D6%5C%2C%5C%2Csq.unit)
Step-by-step explanation:
Given,
![A=(0,0)\\B=(1,1)\\C=(4,-2)\\D=(3,-3)](https://tex.z-dn.net/?f=A%3D%280%2C0%29%5C%5CB%3D%281%2C1%29%5C%5CC%3D%284%2C-2%29%5C%5CD%3D%283%2C-3%29)
Now,
![Slope\,\,for\,\,AB=\frac{1-0}{1-0} =1\\\\Slope\,\,for\,\,CD=\frac{-3+2}{3-4} =1\\\\Slope\,\,for\,\,AD=\frac{-3-0}{3-0} =-1\\\\Slope\,\,for\,\,BC=\frac{-2-1}{4-1} =-1\\\\So,AB||CD\,\,and\,\,AD||BC](https://tex.z-dn.net/?f=Slope%5C%2C%5C%2Cfor%5C%2C%5C%2CAB%3D%5Cfrac%7B1-0%7D%7B1-0%7D%20%3D1%5C%5C%5C%5CSlope%5C%2C%5C%2Cfor%5C%2C%5C%2CCD%3D%5Cfrac%7B-3%2B2%7D%7B3-4%7D%20%3D1%5C%5C%5C%5CSlope%5C%2C%5C%2Cfor%5C%2C%5C%2CAD%3D%5Cfrac%7B-3-0%7D%7B3-0%7D%20%3D-1%5C%5C%5C%5CSlope%5C%2C%5C%2Cfor%5C%2C%5C%2CBC%3D%5Cfrac%7B-2-1%7D%7B4-1%7D%20%3D-1%5C%5C%5C%5CSo%2CAB%7C%7CCD%5C%2C%5C%2Cand%5C%2C%5C%2CAD%7C%7CBC)
![AB=\sqrt{(1-0)^2+(1-0)^2}=\sqrt{2}\\BC=\sqrt{(4-1)^2+(-2-1)^2}=3\sqrt{2}\\CD=\sqrt{(3-4)^2+(-3+2)^2}=\sqrt{2}\\AD=\sqrt{(3-0)^2+(-3-0)^2}=3\sqrt{2}\\\\So,\,\,AB=CD,AD=BC\\The\,\,quadrilateral\,\,is\,\,a\,\,rectangle](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%281-0%29%5E2%2B%281-0%29%5E2%7D%3D%5Csqrt%7B2%7D%5C%5CBC%3D%5Csqrt%7B%284-1%29%5E2%2B%28-2-1%29%5E2%7D%3D3%5Csqrt%7B2%7D%5C%5CCD%3D%5Csqrt%7B%283-4%29%5E2%2B%28-3%2B2%29%5E2%7D%3D%5Csqrt%7B2%7D%5C%5CAD%3D%5Csqrt%7B%283-0%29%5E2%2B%28-3-0%29%5E2%7D%3D3%5Csqrt%7B2%7D%5C%5C%5C%5CSo%2C%5C%2C%5C%2CAB%3DCD%2CAD%3DBC%5C%5CThe%5C%2C%5C%2Cquadrilateral%5C%2C%5C%2Cis%5C%2C%5C%2Ca%5C%2C%5C%2Crectangle)
![Perimeter=2*(AB+AD)=2*(BC+CD)\\=2*(\sqrt{2}+3\sqrt{2})=8\sqrt{2} \,\,Unit](https://tex.z-dn.net/?f=Perimeter%3D2%2A%28AB%2BAD%29%3D2%2A%28BC%2BCD%29%5C%5C%3D2%2A%28%5Csqrt%7B2%7D%2B3%5Csqrt%7B2%7D%29%3D8%5Csqrt%7B2%7D%20%5C%2C%5C%2CUnit)
![Area=AB*AD=BC*CD=\sqrt{2} *3\sqrt{2}=6\,\,sq.unit](https://tex.z-dn.net/?f=Area%3DAB%2AAD%3DBC%2ACD%3D%5Csqrt%7B2%7D%20%2A3%5Csqrt%7B2%7D%3D6%5C%2C%5C%2Csq.unit)
Hope you have understood this.....
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Answer:d the arrow
Step-by-step explanation:
Answer:
12 wins and 4 losses
Step-by-step explanation:
3 wins and 4 losses means they have played so far 7 games.
They play a total of 16 games in a season.
16 - 7 = 9
They still have to play 9 more games.
Add 9 wins to the 3 wins.
9 + 3 = 12
That means they'd finish the season with 12 wins and 4 losses.