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gizmo_the_mogwai [7]
3 years ago
9

Which pairs of rectangles are similar polygons? pls help me

Mathematics
1 answer:
Orlov [11]3 years ago
6 0

Answer:

3.√

4.√

Step-by-step explanation:

similar rectangles have proportional sides so compare corresponding sides to check

1. 169/1.3 = 49/0.7 → 130 ≠70 no

2. 18.55/5.3 = 10.5/3.5 → 3.5 ≠ 3 no

3. 120/24 = 60/12 → 5 = 5 yes

4. 189/2.1 = 81/0.9 → 90 = 90 yes

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Circle A has center (0, 0) and radius 3. Circle B has center (-5, 0) and radius 1. What sequence of transformations could be use
Dmitrij [34]

A translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) with a scale factor of 1 / 3 are necessary to transform circle A into circle B. (Correct choice: D)

<h3>What sequence of rigid transformations can be done on a circle</h3>

In this problem we must determine the sequence of transformations require to transform circle A into circle B. From analytical geometry we know that the equation of the circle in standard form is:

(x - h)² + (y - k)² = r²

Where:

  • (h, k) - Coordinates of the center.
  • r - Radius of the circle.

Then, we need to apply the following rigid transformations:

Translation

f(x, y) → f(x - h, y - k), where (h, k) is the translation vector.

Dilation with center at the center of the circle

r → k · r, where k is the scale factor.

The circle A is represented by x² + y² = 3, then we derive the expression for the circle B:

f(x, y) → f(x + 5, y - 2)

(x + 5)² + (y - 2)² = 9

r → k · r

(x + 5)² + (y - 2)² = (1 / 3)² · 9

(x + 5)² + (y - 2)² = 1

Then, a translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) are necessary to transform circle A into circle B.

To learn more on rigid transformations: brainly.com/question/28004150

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8 0
1 year ago
Mary can read 10 pages in 20 minutes how fast can she read
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Mary can read one page per two minutes.

Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

3 0
3 years ago
Eric was rock climbing. At one point, he stopped and climbed straight down 2\dfrac{1}{2}2
nikitadnepr [17]

The equation that matches the given situation is -2\frac{1}{2}+6\frac{3}{4}=? . So, after two moves, Eric's elevation changed 4\frac{1}{4} meters above.

We know that in mathematics, subtraction means removing something from a group or a number of things. What is left in the group gets smaller when we subtract. The minuend is the first element we use. The subtrahend is the part that is being removed. The difference is the portion that remains after subtraction.

Assume that "negative" means climbing down and "positive" means climbing up. We must locate the elevation change in this area.

Given that Eric climbed straight down 2\frac{1}{2} meters. So we can write -2\frac{1}{2}.

Again Eric climbed straight up 6\frac{3}{4} meters. So, we can write 6\frac{3}{4}.

Then the change = -2\frac{1}{2}+6\frac{3}{4}

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=4\frac{1}{4}

Therefore, the equation that matches the given situation is -2\frac{1}{2}+6\frac{3}{4}=? . So, after two moves, Eric's elevation changed 4\frac{1}{4} meters above.

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brainly.com/question/24116578

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7 0
1 year ago
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