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4vir4ik [10]
2 years ago
9

Mia enlarged a plan for an outdoor stage. The original plan is shown below. She dilated the outdoor stage by a scale factor of 4

with the center of dilation at the origin. Which ordered pair will be the coordinates of one of the new vertices? A (2,1) B (8,16) C (32,4) D (32,16)

Mathematics
2 answers:
garik1379 [7]2 years ago
5 0
Since you didn't give the original picture, I can only explain the process. Then, you need to select the correct point.

In a dilation, we multiply the coordinates by the scale factor. Take the points that you have and multiply them all by 4. Then, look for a point making your new coordinates.
yawa3891 [41]2 years ago
5 0

Answer:

D (32,16)

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please see the attached photo.

In the photo, the four vertices are:

(-5,4)  by a scale factor of 4 (-20, 16)

(8, 4)  by a scale factor of 4 (32, 16)

(-6, -2)  by a scale factor of 4 (-24, -8)

(8, -2)   by a scale factor of 4 (31, -8)

So only D is correct.

Hope it will find you well.

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In the roof truss, line BG bisects ∠ABC and ∠DEF, m∠ABC= 112°, and ∠ABC≅∠DEF.
Dennis_Churaev [7]

In the given diagram,  line BG bisects ∠ABC and ∠DEF, m∠ABC= 112°, and ∠ABC≅∠DEF.  So the measure of angles are :

1. m∠DEF=  112° because ∠ABC≅∠DEF

2. m∠ABG=  56° because a straight line BG is bisecting ∠ABC in two equal parts. So, \frac{112}{2} = 56

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7 0
2 years ago
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The picture below shows Annie and her younger brother Tommy’s money. They want to combine their money to buy something together.
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Answer:

$5.47

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Given data:

Annie has 4 dollar , 11 dimes, 4 pennies.

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To add the money, let us first convert dime and penny into dollar.

1 dollar = $1

11 dime = $1.1

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3 penny = $ 0.03

Total money = Annie’s money + Tommy’s money

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Answer:

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Let the sales be "100" in 1994

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New is 100

Old is 20

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\frac{New-Old}{Old}*100\\=\frac{100-20}{20}*100\\=4*100\\=400

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