Simplify the following expression: |2+4i|
2 answers:
Answer:
Step-by-step explanation:
This is a complex number expression, and you are asked to find the absolute value.
in a complex number, there are two parts, the real and the imaginary part.
in the question ; 2 = real part, 4 = imaginary part
based on the diagram, we will use Pythagoras theorem to solve for the hypotenuse which gives the absolute value of the complex number.
=
+
= 4 + 16
= 20
; |2+4i| =
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When two parallel lines are intersected by a transversal, the same-side exterior angles are supplementary. That means that their sum is 180.
Using that logic, if the two roads were parallel, then the sum of their same-side exterior angles will add up to 180. Yet their same-side exterior angles add up to 170 (130 + 40 = 170), hence they can't be parallel.
See the drawing attached below.
Using supplmenatry angles (two angles whose sum of measures add up to 180 or a straight line), we can say that:
m<DIE + m<HID = 18
40 + m<HID = 180
m<HID = 140
Similarly:
m<BHC + m<CHI = 180
130 + m<CHI = 180
m<CHI = 50
Using verticle angles therome, (when two lines intersect, the angles opposite to eachother are congruent, or have the same measure), we can say that:
m<DIE = m<GIH = 40
m<GIE = m<HID = 140
m<CHI = m<AHB = 50
m<BHC = m<AHI = 130
