1)Volume= π r² h
radius=r
hight=hight
2) A= 2 π r h + 2 π r²
A= surface area
r= radius
h= hight
Answer:
ASA congruence theorem
Step-by-step explanation:
WE know by given that <em>∠S ≅∠U</em> and<em> line ST ≅ line UT</em>
By the vertical angles theorem, we can find that ∠RTS ≅ ∠VTU.
They are in a form that when looking around the edge, you see congruent <em>angle, side, then angle</em>. That means that we can prove the triangles' congruence with ASA congruence.
The translation that maps triangle ABC to A prime B prime C prime would be a reflection across the y axis. This is because when you reflect something, you are pretty much flipping it. When you reflect across the y axis, you are flipping the triangle across the y axis. Take one point for example. I will use C. Notice how the point C is 3 units away from the y axis. So the same way you would move the point 3 units right from the y axis, and that would be your new point. This sounds kind of complicated, so I will give you a list of rules to make it more simple.
Reflection across y axis: (x,y) would be equal to (-x, y)
Reflection across x axis: (x,y) would be equal to (x, -y)
Reflection across y = x: (x,y) would be equal to (y,x)
Reflection across y = x: (x,y) would be equal to (-y,-x).
A reflection across y = x would be when you have a line that for every 1 it rises, it goes right 1. It is a positive line, as opposed to the y = -x line. It also has a slope of 1. I will try attaching a graph if I can.
Anyway, as I was saying. So pretty much if you don't want to go through the logic, to see whether a figure is reflected, just try each of these rules and if one works then you have your answer. Otherwise it would not be a reflection.
Thanks for being a great mod and hope this helps! :D
No one can answer this problem without a picture
Answer:
P = - 7
Step-by-step explanation:
To solve we must put all the literals (letters) on one side of the operation and all the free numbers on the other. To do this we are going to do the same operations on both sides of the equal sign
- 15 - 3p = 6
So, we are going to add 15 on both sides
- 15 - 3p + 15 = 6 + 15
- 3p = 21
We are goint to divide everything by -3
-3p/-3 = 21/-3
It result:
<h2>p = -7</h2><h2 />
We check as follows:
We are going to replace the unknown (p) by the value we gave it already (-7)
-15 - 3(-7) = 6
-3 × -7 = +21
-15 + 21 = 6
6 = 6
we have the correct result
