PLEASE HELP ASAP.
A triangle with a vertex at point Y(-3, 7) is dilated by a scale factor represented by the coordinate pair (2/3x, 2/3y ). What is the location of Y'?

Please look at the picture below for the answer choices.

PLEASE HELP ASAP. A Triangle With A Vertex At Point Y(-3, 7) Is Dilated By A Scale Factor Represented

Answers

Answer 1

Answer:

[tex]Y' = (-2, 4\frac{2}{3})[/tex]

Step-by-step explanation:

Given

[tex]Y = (-3,7)[/tex]

[tex]Scale\ Factor = (\frac{2}{3}x,\frac{2}{3}y)[/tex]

Required

Determine Y'

Y' can be solved by multiplying the scale factor by Y

i.e.

[tex]Y' = Scale\ Factor * Y[/tex]

For, the x coordinates.

[tex]Y' = \frac{2}{3}x[/tex]

Where

[tex]x = -3[/tex]

[tex]Y' = \frac{2}{3} * -3[/tex]

[tex]Y' = \frac{-6}{3}[/tex]

[tex]Y = -2[/tex]

For the y coordinates:

[tex]Y' = \frac{2}{3}y[/tex]

Where

[tex]y = 7[/tex]

[tex]Y' = \frac{2}{3} * 7[/tex]

[tex]Y' = \frac{14}{3}[/tex]

[tex]Y' = 4\frac{2}{3}[/tex]

Hence:

[tex]Y' = (-2, 4\frac{2}{3})[/tex]


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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer:

The answer is D), 80.

Step-by-step explanation:

All sides of a triangle must add up to 180°. So, if x = 100, angle BCA must equal 60° because 180 - 120 = 60. Since angles BCA and DCE are vertical angles, they are equal, making angles DCE 60°. All you need to do now is add up 60 + 40; that should give you 100. You also need to subtract that from 180 to get your final answer of y = 80°.

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Answer:

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