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stepladder [879]
3 years ago
9

How do you prove theorems behind two parallel lines cut by a transversal?

Mathematics
1 answer:
LenaWriter [7]3 years ago
5 0
The way to do it can be explained like this:
Say AB and CD are the two parallel lines cut by a transversal at E and F respectively.
 Then the pairs of alternate interior angles are:
Angle(AEF) and Angle(DFE)
Angle(CFE) and Angle(BEF)
Now lets prove if this is true:
<span>Angle(CFE) +Angle(DFE) = 180
(linear pair)
Also
Angle(CFE) +Angle(AEF) = 180
(Corresponding angles)
</span><span>Equate the above results:
Angle(CFE) +Angle(DFE) = Angle(CFE) +Angle(AEF)
</span><span>Angle(DFE) = Angle(AEF)
</span>Happens the same with
<span>Angle(CFE) = Angle(BEF)
</span>Hope this is very useful for you

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Kelly has 4 times as many songs on her music player as Lou
jeka57 [31]

Answer:4 times x

4(x)

Step-by-step explanation:

4 times as many songs on Lou's music player

Lou's music player is x

7 0
3 years ago
What is equivalent to 4/9(2n-3)
sp2606 [1]
4/9(2n)+4/9(-3)
(4x2/9)n+(4 x -3)/9
(8/9)n -12/9
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4 0
3 years ago
Describe how to transform the graph of f(x) = x2 to obtain the graph of the related function g(x).
olga55 [171]

9514 1404 393

Answer:

  1. left 1 unit
  2. down 2 units

Step-by-step explanation:

The transformation g(x) = f(x -h) +k is a translation of f(x) to the right by h units and up k units.

1. h = -1, so the graph of g(x) is the graph of f(x) shifted left 1 unit. (blue)

__

2. k = -2, so the graph of g(x) is the graph of f(x) shifted down 2 units. (green)

6 0
3 years ago
the volume of a cylinder is 411π in^3. The height of the cylinder is 9 in. Calculate the diameter of the cylinder to the nearest
EleoNora [17]

Answer:

13.5 in, or 34.3 cm.

Step-by-step explanation:

First, use the formula volume = pi * r^2 * height- you have the volume, so just solve the equation 411pi = pi * 9 * r^2 for r, and you get that r = 6.75. Since diameter is equal to 2r, multiply 6.75 by 2 to get your answer of 13.5 inches. The questions asks for the diameter in centimeters though, which makes it 34.3 cm.

Hopefully this helps- let me know if you have any questions!

8 0
2 years ago
Ausgtin has 1/4 as many cards as mateo. mateo has 1/2 as many cards of amaro. who has the most cards
Nataly [62]

Answer:D

Step-by-step explanation:

Amaro would have the most.

4 0
2 years ago
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