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Andru [333]
3 years ago
8

Which transformation of Figure A results in Figure A' ?

Mathematics
2 answers:
wel3 years ago
6 0

Answer:

The correct answer is a counterclockwise rotation of 90° about the origin.

Step-by-step explanation:

I took the quiz

MariettaO [177]3 years ago
3 0

Option B: a counterclockwise rotation of 90° about the origin

Explanation:

From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)

The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)

<u>Option B: a counterclockwise rotation of 90° about the origin </u>

The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin  is given by

(x,y)\implies (-y,x)

Let us substitute the coordinates of the figure A

Thus, we have,

(0,2)\implies(-2,0)

(-1,6)\implies (-6,-1)

(-4,4)\implies(-4,-4)

Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.

Therefore, the figure is a counterclockwise rotation of 90° about the origin .

Hence, Option B is the correct answer.

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a certain test is worth 135 points. how many points (rounded to the nearest point) are needed to obtain a score of 85%?
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To obtain a score of 85% on a test worth 135 points, one needs to get 115 points. By using proportions, we get the required value.

<h3>How to write proportions?</h3>

A proportion is defined as an equality between two ratios.

Consider two ratios a:b and c:d. Then, the proportion we can write,

a: b = c : d

Then, the simplification we have for this proportion is

a/b = c/d or ad = bc

<h3>Calculation:</h3>

It is given that, a certain test is worth 135 points.

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So, we can write the proportions as

X : 135 = 85 : 100

⇒ X/135 = 85/100

⇒ X = 85/100 × 135

∴ X = 114.75 ≅ 115 points

Learn more about proportions at the following link:

brainly.com/question/140018

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Step-by-step explanation:

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