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2 years ago

Find x with reasoning

Mathematics

1 answer:

MatroZZZ [7]2 years ago

3 0

Answer:

Angle Sum Property of triangle states that the sum of all the angles of a triangle is equal to 180°

Therefore ,

$\bold{x + (x + 10) + (x - 40) = 180} \\ \\\bold{ x + x + 10 + x - 40 = 180 } \\ \\ \bold{3x - 30 = 180} \\ \\ \bold{ 3x = 180 + 30} \\ \\ \bold{3x = 210 }\\ \\ \bold{x = \cancel{\frac{210}{3}}} \\ \\\bold\blue{ x = 70 \: degrees}$

hope helpful~

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Step-by-step explanation:

Hello, the Conjugate Roots Theorem states that if a complex number is a zero of real polynomial its conjugate is a zero too. It means that (x-4i)(x+4i) are factors of f(x).

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And we can write in $\mathbb{C}$

$f(x)=\boxed{(x-4i)(x+4i)(x+3)(x-5)}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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