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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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Answer:

Step-by-step explanation:

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Work out the circumference of a circle with radius 7.5 cm take pi to be 3.142
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Answer:

47.13

Step-by-step explanation:

Circumfrence= 2 x pi x Radius

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The ancient Greeks could bisect an angle using only a compass and straightedge.A. TrueB. False
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Answer: True.

The ancient Greeks could bisect an angle using only a compass and straightedge.

Step-by-step explanation:

The ancient Greek mathematician <em>Euclid</em> who is known as inventor of geometry.

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Thus, Euclid and the another Greeks had the problem of finding the position of an angle bisector.

This lead to the constructions using compass and straightedge. Therefore, the straightedge has no markings. It is definitely not a graduated-rule.

As a substitute for using arithmetic, Euclid and the Greeks learnt to solve the problems graphically by drawing shapes .

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Francis is playing an online game. He has 25 points and earns 5 points for each puzzle he solves correctly. He will advance to t
Maksim231197 [3]

Answer:

B. 5x + 25 > 75

Step-by-step explanation:

Points available = 25

Additional points earned per puzzle =5

He will advance to the next round if his score is over 75 points.

This means, he will move unto the next stage of his points exceeds 75 or greater than 75

The inequality is:

25 + 5x > 75

It can also be written as

5x + 25 > 75

The correct answer is B. 5x + 25 > 75

5x + 25 > 75

5x > 75 - 25

5x > 50

x > 50 / 5

x > 10

A. 5x + 25 < 75

B. 5x + 25 > 75

C. 25x + 5 > 75

D. 5x + 75 < 25

8 0
3 years ago
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