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Sergeeva-Olga [200]
2 years ago
11

Determine if the conclusion of salad. Give a thorough explanation of your answer. Given segment AC is perpendicular to segment c

d, segment AC is congruent to segment BD conclusion ABCD is a square

Mathematics
1 answer:
serious [3.7K]2 years ago
4 0

The given conclusion that ABCD is a square is not valid.

Given that, AC⊥BD and AC≅BD.

We need to determine if the given conclusion is valid.

<h3>What are the properties of squares?</h3>

A square is a closed figure with four equal sides and the interior angles of a square are equal to 90°. A square can have a wide range of properties. Some of the important properties of a square are given below.

  • A square is a quadrilateral with 4 sides and 4 vertices.
  • All four sides of the square are equal to each other.
  • The opposite sides of a square are parallel to each other.
  • The interior angle of a square at each vertex is 90°.
  • The diagonals of a square bisect each other at 90°.
  • The length of the diagonals is equal.

Given that, the diagonals of a quadrilateral are perpendicular to each other and the diagonals of a quadrilateral are equal.

Now, from the properties of a square, we understood that the diagonals of a square are perpendicular to each other and the diagonals of a square are equal.

So, the given quadrilateral can be a square. But only with these two properties can not conclude the quadrilateral is a square.

Therefore, the given conclusion that ABCD is a square is not valid.

To learn more about the properties of a square visit:

brainly.com/question/20377250.

#SPJ1

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Step-by-step explanation:

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Use the distributive property to write an equivalent expression.<br> 9(x + 10)
Ne4ueva [31]

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Step-by-step explanation:

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9(x + 10) ← multiply each term in the parenthesis by 9 )

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7 0
3 years ago
If CE= 7x+4 <br><br> x+3 + 8x-9 = 7x+4
MA_775_DIABLO [31]
The answer is 39.

Explanation:
To find the x, you need to start by adding your “like” terms on each side of the equal sign. This means the parts that you can add together. So, on the left side, you would add 3 and -9 together, which will make -6. Then, you would add x and 8x together, which would make 9x. So your left side will look like “9x-6”. There is nothing you can add together on the right side, so now you move on to the second step: combining the terms on both sides. You can do this by knowing that the opposite of subtraction is addition, and it’s the same the other way. Let’s look at our equation now:
9x-6=7x+4

9x and 7x are “like terms” so we can subtract. So now we have:
2x-6=4

We still need to make x be by itself, so now we can move the -6 over to the 4. We add because the opposite of subtraction is addition. So now we have:
2x=10

When a number is next to a missing number, that means they are being multiplied, and the opposite of multiplication is division. So we can divide 10 by 2, which equals five. So, x=5 and we can add that to our other missing number, CE. Replace “x” with “5” and you will see that CE=39.
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3 years ago
If 48 is 10% then what is 100%
Alecsey [184]
480 is 100%

48 = 10%

480 = 100%
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3 years ago
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