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3 years ago

Find the value of x. 3 2 12 6

Mathematics

1 answer:

damaskus [11]3 years ago

7 0

Answer:

x=3

Step-by-step explanation:

Since this is an isosceles trapezoid

The angles at the top have to equal each other

112 = 30x + 11y

The sides also have to equal each other.

12 = 2x+3y

Divide each side by 3

12/3 = 2x/3 + 3y/3

4 = 2/3 x +y

Subtract 2/3 x from each side

4 -2/3 x =y

Substitute this into the first equation

112 = 30x + 11y

112 = 30x +11(4-2/3x)

112 = 30x +44 -22/3 x

Subtract 44 from each side

112-44 = 30x +44-44 -22/3 x

68 = 30x -22/3 x

Get a common denominator on the right of 3

68 = 90/3x -22/3 x

68 = 68/3 x

Multiply each side by 3/68

68 * 3/68 = 68/3 * 3/68 x

3 =x

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3 years ago

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3 years ago

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3 years ago

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3 years ago

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Marina86 [1]

Answer: 0.0174

Step-by-step explanation:

Given : $\mu=1.85\ \ ; \sigma=0.18$

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Now, the z-score for x=2.23 , $\because z=\dfrac{x-\mu}{\sigma}$

$\Rightarrow\ z=\dfrac{2.23-1.85}{0.18}\approx2.11\ \ \$

Using z-value table , we have

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4 years ago