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3 years ago

86 Work out the size of angle x. 47°

Mathematics

1 answer:

katen-ka-za [31]3 years ago

3 0

Answer:

133 degrees

Step-by-step explanation:

The angle 47 degrees is on a straight line, and the angles on a straight line add up to 180 degrees.

So, to find the angle parallel to 47 degrees, subtract 47 degrees from 180 degrees

180 - 47 = 133 degrees

Now, the relationship between the angle that is 133 degrees and the angle of x is that they are corresponding angles.

And corresponding anglea are the same.

Thereforw, x = 133 degrees

hope this helps :)

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AnnZ [28]

The polynomial is: $f(x)=x^3-2x^2-23x+60$

Step-by-step explanation:

We need to write a polynomial f(x) that meets the given conditions: Degree 3 polynomial with zeros 3,-5,4

Since zeros are at 3,-5 and 4

So, x=3, x=-5 and x=4

or:

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Multiplying all factors to find the polynomial:

$(x-3)(x+5)(x-4)=0\\(x(x+5)-3(x+5))(x-4)=0\\(x^2+5x-3x-15)(x-4)=0\\(x^2+2x-15)(x-4)=0\\x(x^2+2x-15)-4(x^2+2x-15)=0\\x^3+2x^2-15x-4x^2-8x+60=0\\x^3+2x^2-4x^2-15x-8x+60=0\\x^3-2x^2-23x+60=0$

So, the polynomial is: $f(x)=x^3-2x^2-23x+60$

keywords: Factors and zeros of polynomial

Learn more about Factors and zeros of polynomial at:

#learnwithBrainly

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3 years ago