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Varvara68 [4.7K]
2 years ago
5

Please answer and use statement reason

Mathematics
1 answer:
masha68 [24]2 years ago
8 0

Answer:

x = 15

Step-by-step explanation:

FD and AC are parallel because both are perpendicular to EB. Angle EDF and Angle DCA are congruent because they are corresponding angles. The measure of Angle DCA is also 3x because congruent angles have the same measure.

Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.

x + 8x + 3x = 180°

12x = 180°

12x/12 = 180/12

x = 15

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Answer:

The correct option is C.

Step-by-step explanation:

The given cubic equation is

x^3-5x^2+3x+9=0

According to the rational root theorem 1 and -1 are possible rational roots of all polynomial.

At x=-1, the value of function 0. Therefore (x+1) is the factor of polynomial and -1 is a real root.

Use synthetic division to find the remaining polynomial.

(x+1)(x^2-6x+9)=0

(x+1)(x^2-2(3)x+3^2)=0

Using (a-b)^2=a^2-2ab+b^2

(x+1)(x-3)^2)=0

USe zero product property and equate each factor equal to 0.

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Therefore the equation have three real roots out of which the value of two roots are same.

Option C is correct.

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Can anyone help me out?
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Step-by-step explanation:

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