Answer:
n= -2
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ;)
Answer:
D
Step-by-step explanation:
If there are 20 students, and each team has 5 students, then there will be 4 teams of third graders that will play kickball.
20/5 = 4
You would do 157.5/35 to find how much gas she needs
157/35=4.5
She'll need 4.5gallons of gas
ANSWER
![T.S.A=1960m^2](https://tex.z-dn.net/?f=T.S.A%3D1960m%5E2)
EXPLANATION
The diagram represents the net of a rectangular prism.
The dimensions are,
![l=42m](https://tex.z-dn.net/?f=l%3D42m)
![w = 14m](https://tex.z-dn.net/?f=w%20%3D%2014m)
and
![h = 7m](https://tex.z-dn.net/?f=h%20%3D%207m)
The total surface area of a rectangular prism is given by:
![T.S.A=2(lw + lh + wh)](https://tex.z-dn.net/?f=T.S.A%3D2%28lw%20%2B%20lh%20%2B%20wh%29)
We substitute the values to obtain,
![T.S.A=2(42 \times 14 + 42 \times 7 + 14 \times 7)](https://tex.z-dn.net/?f=T.S.A%3D2%2842%20%5Ctimes%2014%20%2B%2042%20%5Ctimes%207%20%2B%2014%20%5Ctimes%207%29)
![T.S.A=2(980)m^2](https://tex.z-dn.net/?f=T.S.A%3D2%28980%29m%5E2)
Answer:
<h2>Leah is actually wrong, because those rectangles are similar.</h2>
Step-by-step explanation:
Remember that similarity is about having proportional sides and congruent angles. When we have congruent sides, then those rectangles are congruent not similar.
In this case, to find the similarity, Leah should compare bases and heights thorugh division, because the ratio between heights and the ratio between bases must be equal. So, let's divide.
![\frac{21}{6}=3.5](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B6%7D%3D3.5)
![\frac{7}{2}=3.5](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B2%7D%3D3.5)
As you can observe, both ratios are equal.
Therefore, those rectangles are congruent.