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meriva
3 years ago
15

Draw two polygons that have corresponding angles that are all congruent but are not similar to prove that angle congruence is no

t enough to establish that two polygons are similar.
Mathematics
1 answer:
Marina86 [1]3 years ago
3 0

There are infinitely many ways to do this. One such way is to draw a very thin stretched out rectangle (say one that is very tall) and a square. Example: the rectangle is 100 by 2, while the square is 4 by 4.

Both the rectangle and the square have the same corresponding angle measures. All angles are 90 degrees.

However, the figures are not similar. You cannot scale the rectangle to have it line up with the square. The proportions of the sides do not lead to the same ratio

100/4 = 25

2/4 = 0.5

so 100/4 = 2/4 is not a true equation. This numerically proves the figures are not similar.

side note: if you are working with triangles, then all you need are two pairs of congruent corresponding angles. If you have more than three sides for the polygon, then you'll need to confirm the sides are in proportion along with the angles being congruent as well.

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The length of both rooms is 10 meters and the width for the kitchen is 5 meters, while the one for the dining room is 9 meters.

<h3>How to find the length of the rooms?</h3>

Both rooms have the same length but different areas and different widths. This common measurement can be found using the GFC or the greatest common factor. To do this, divide each number by 1,2,3, etc., and find the greatest common number (only integers are valid).

  • 50: 50 25 10 5 1
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The greatest common number is 10, so 10 meters is the length of the room.

<h3>How to find the width?</h3>

Use the formula

  • A = lenght x width or width = area / lenght

Kitchen.

  • Width: 50 / 10
  • Width: 5 meters

Dining room:

  • Width: 90 / 10
  • Width: 9 meters

Note: In this question the diagram is missing; below, I attach the diagram.

Learn more about greatest common factor in: brainly.com/question/282609

3 0
2 years ago
When converted to a household measurement, 9 kilograms is approximately equal to a
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9 kilograms is = 9000 grams

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Step-by-step explanation:

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2 years ago
Which of the following statements is equivalent to 10x – 30?
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10(x-3)

Step-by-step explanation:

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2 years ago
Priya has a recipe for banana bread. She uses 7 ½ cups of flour to make 3 loaves of banana bread. Andre will follow the same rec
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Answer:

Option B)

b = \dfrac{2}{5}f  

Step-by-step explanation:

We are given the following in the question:

Priya uses 7\frac{1}{2} cups of flour to make 3 loaves of banana bread.

Thus, we can write the ration of bread to  amount of flour used as:

\text{Ratio} = \dfrac{3}{7\frac{1}{2}} = \dfrac{3}{\frac{15}{2}} = \dfrac{6}{15}

Now, b loaves of banana bread using f cups of flour.

This measurement will follow the same ratio.

Thus, we can write:

\dfrac{b}{f} = \dfrac{6}{15}\\\\b = \dfrac{2}{5}f

Thus, the correct answer is

Option B)

b = \dfrac{2}{5}f

4 0
2 years ago
Ullmark 1 Bus
Vesna [10]

Answer: Option B) 7,214

Step-by-step explanation:

The value of the digit 2 in 5,426 is 20.

-In 2,843, the place value of 2 is 2000

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- In 43,928, the place value of 2 is 20

- In 67,452, the place value of 2 is 2

So, since he place value of 2 in 7,214 is 200; and since 200 is ten times more than 20 (i.e 20 x 10 = 200)

Thus, the answer is 7214

3 0
3 years ago
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