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3 years ago

PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!!

Mathematics

1 answer:

Ad libitum [116K]3 years ago

5 0

<h3>Solution:</h3>

We know, the sum of the angles on a line is 180°.
Therefore,

(12x+20)°+(7x+8)° = 180°

or, 19x° + 28° = 180°

or, 19x° = 180°-28°

or, 19x° = 152°

or, x = 152° ÷ 19°

or, x = 8

Therefore, (12x+20)° = (12×8+20)° = (96+20)° = 116°
We also know that vertically opposite angles are equal.
So, z° = 116° or, z = 116

<h3>Answer:</h3>

x = 8

z = 116

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Answer:

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Step-by-step explanation:

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First of all, learn the concept of $i$ (pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by $i$ .

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$\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i$

So, the given expression in standard form is $2+i$ .

Let us compare with standard form $a+bi$ so we get $a =2, b =1$ .

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