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Keith_Richards [23]
3 years ago
13

Find the value of X and Y. Show work.

Mathematics
1 answer:
Stolb23 [73]3 years ago
3 0

Answer:

Value of x : 8\sqrt{3} or 13.86

Value of y : 16

Step-by-step explanation:

You can use trigonometric functions to find the values of x and y.

For x:

-Tangent is the one for x, so you can use:

tan(θ)=opposite/adjacent

-Plug the values in to get

tan(60)=x/8

x=8×tan(60)

x=8\sqrt{3} or 13.86

For y:

For y we can either use trigonometric functions or the pythagorean theorem.

a^{2} = b^{2} + c^{2}

y^{2} = 13.86^{2} + 8^{2}

y^{2} =256.1\\

y is around 16

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<h3>What is a Scale Factor ?</h3>

The ratio by which the new image is bigger or smaller than the original image is the scale factor.

It is given that

Triangle A″B″C″ is formed using the translation (x + 0, y + 2)

and the dilation by a scale factor of 2 from the origin.

coordinate plane with triangle ABC at A (- 3,  3), B (1, - 3), and C (- 3, -3).

segment AC is equal to A''C'' over 2

Scale factor = 2

The coordinates are

A (- 3,  3), B (1, - 3), and c (- 3, -3) is translated using  (x + 2, y + 0),

new coordinates

A'(- 1,  3), B'(3, - 3), and C'(- 1, -3).

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To know more about Scale Factor

brainly.com/question/22312172

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