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
In the expression, the real number a equals 12 and the real number b equals -16.
<h3>How to explain the information?</h3>
It should be noted that the expression given is:
= (4 - 2i)²
Therefore, we need to expand the expression. This will be:
= (4 - 2i)(4 - 2i)
= 16 -8i -8i + 4i²
= 16 -16i +4i²
Substitute -1 for i²
= 16 - 16i + 4(-1)
= 16 - 16i - 4
= 12 - 16i
Therefore, the value of the expression is 12 - 16i.
Learn more about expressions on:
brainly.com/question/723406
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Evaluate the expression ( 4 − 2 i )² and write the result in the form a + b i.
Answer:
4.5 ounces of yellow and 7.5 ounces of blue will create 12 ounces of the perfect shade of green.
Step-by-step explanation:
1.5 + 2.5 = 4 ounces.
Multiply by 3
4.5 + 7.5 = 12 ounces
So, she needs 4.5 ounces of yellow.
Answer:
I dont think you pasted the answer right... If you comment i can try and help you
Step-by-step explanation: