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Svet_ta [14]
3 years ago
6

True or False? If, |al = |b|, then either a = b or a = - b

Mathematics
1 answer:
never [62]3 years ago
3 0

Answer:

true

Step-by-step explanation:

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Given: y ll z
emmainna [20.7K]

Answer:

As per the properties of parallel lines and interior alternate angles postulate, we can prove that:

m\angle 5+m\angle 2+m\angle 6=180^\circ

Step-by-step explanation:

<u>Given:</u>

Line y || z

i.e. y is parallel to z.

<u>To Prove:</u>

m\angle 5+m\angle 2+m\angle 6=180^\circ

<u>Solution:</u>

It is given that the lines y and z are parallel to each other.

m\angle 5, m\angle 1 are <em>interior alternate angles </em>because lines y and z are parallel and one line AC cuts them.

So, m\angle 5= m\angle 1 ..... (1)

Similarly,

m\angle 6, m\angle 3 are <em>interior alternate angles </em>because lines y and z are parallel and one line AB cuts them.

So, m\angle 6= m\angle 3 ...... (2)

Now, we know that the line y is a straight line and A is one point on it.

Sum of all the angles on one side of a line on a point is always equal to 180^\circ.

i.e.

m\angle 1+m\angle 2+m\angle 3=180^\circ

Using equations (1) and (2):

We can see that:

m\angle 5+m\angle 2+m\angle 6=180^\circ

<em>Hence proved.</em>

7 0
3 years ago
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Answer:

About $676.5 billion will be spent at restaurants in 2018 if this trend continues

Step-by-step explanation:

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2 years ago
A)PA=2•AB<br> B)AB=1/2•PA<br> C)PA=PB<br> D)2•PA=PB
Digiron [165]

Answer:

<h2>C) PA = PB</h2>

Step-by-step explanation:

AB = PB + PA

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The Answer Would Be 90000.
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If using the method of completing the square to solve the quadratic equation x^2+8x-4=0 ,which number would have to be added to
Licemer1 [7]

Answer:

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Step-by-step explanation:

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3 years ago
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