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defon
3 years ago
10

Find the value of x in the isosceles triangle shown.​

Mathematics
1 answer:
strojnjashka [21]3 years ago
8 0

Answer:

x = 7

Step-by-step explanation:

Given the base of the triangle is 6 and the line dividing the triangle is x. To get x divide the triangle into two equal halves. When you do so,you’ll have a right triangle with x as the opposite , 8 as the hypotenuse and the adjacent as 3.

Using Pythagoras theorem, we have

8^2 = x^2 + 3^2

8 x 8 = x^2 + 3 x 3

64 = x^2 + 9

Subtract 9 from both sides

64 - 9 = x^2 + 9 - 9

55 = x^2

X^2 = 55

x = squared root of 55

x = 7.4

x = 7

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Write the equation of a polynomial of degree 3, with zeros 1, 2 and -1 where f(0)=2
drek231 [11]

<u>Answer:</u>

The equation of a polynomial of degree 3, with zeros 1, 2 and -1 is x^{3}-2 x^{2}-x+2=0

<u>Solution:</u>

Given, the polynomial has degree 3 and roots as 1, 2, and -1. And f(0) = 2.

We have to find the equation of the above polynomial.

We know that, general equation of 3rd degree polynomial is  

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where a, b, c are roots of the polynomial.

Here in our problem, a = 1, b = 2, c = -1.

Substitute the above values in f(x)

F(x)=x^{3}-(1+2+(-1)) x^{2}+(1 \times 2+2(-1)+1(-1)) x-1 \times 2 \times(-1)=0

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3 0
3 years ago
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ololo11 [35]

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So,

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The sum of interior angle of a decagon is 1440°

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Answer:

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