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choli [55]
3 years ago
6

Which statement is an example of the symmetric property of congruence?

Mathematics
2 answers:
Anna35 [415]3 years ago
7 0
The answer is D. The symmetric property of congruence basically just states that if A is congruent to B, then B is congruent to A. This is like symmetry or a mirror, thus giving it it's name.
olchik [2.2K]3 years ago
3 0

The symmetric property of congruence states that if a quantity, say, A is congruent to a quantity, say B, then, the quantity B is congruent to the quantity A.

Mathematically, this statement of the symmetric property of congruence can be written as:

If A\cong B, then B\cong A.

Applying this symmetric property of congruence to the question that we are given, we see that only Option D fulfills the conditions of the definition of the property of congruence as Option D clearly states that:

If \Delta EFG\cong \Delta HJK, then \Delta HJK\cong \Delta EFG which is the exact statement of the symmetric property of congruence when applied to triangles.

Thus, Option D is the correct option.

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6^2/2(3)+4= what is the answer
Lelechka [254]
6^2/2(3)+4
Follow the order of operations, (GEMDAS) which goes like this:
<em>grouping, exponents, multiplication/divison, addition/subtraction
</em>
First up is our grouping, specifically parentheses. While we do have parentheses in our expression there isn't anything going on <em>inside</em> of them that we'd have to do first. (The 2(3) is another way of writing 2×3.)

Next we have exponents, which would be our 6^2. (6 squared)
When something is squared, that means it is multiplied by itself. 6^2 = 6×6 = 36.

Now our expression is 36/2(3)+4.

Next we need to handle the multiplication and division. (order doesn't matter)
The best way to do this is from left to right. The 36/2 = 18...
Then 18(3) = 54.
If we took 36(3) then divided by 2 we would get the same answer.
However, what you <em>cannot</em> do is multiply the 2(3), simply because the 2 is a denominator of a fraction. If you don't know what this is or why, it's okay--just always do it left to right and you'll never have to worry about it.

Now our expression is 54+4.

Finally, we can handle the addition/subtraction. 54+4 leaves us with 58.
7 0
3 years ago
Read 2 more answers
The area of a parallelogram is 49.7 cm 2 , and the base of the parallelogram is 3.5 cm. What is the height of the parallelogram
brilliants [131]

Answer:

14.2 cm

Step-by-step explanation:

A parallelogram is a quadrilateral (a four sided object) with parallel sides

Some of the characteristics of a parallelogram includes :

1. Opposite sides  and angles are congruent .

2. Opposite angels are congruent  

3. Consecutive angles are supplementary  

4. The diagonals bisect each other

Area of a parallelogram = base x height

49.7 = 3.5 x height

height = 49.7 / 3.5 = 14.2 cm

3 0
3 years ago
Lucy is going to watch a movie in her collection. She has 5 action movies, 4 comedies, and 3 dramas.
blsea [12.9K]

Answer:

3/4

Step-by-step explanation:

5 action+4 comedy+3 drama= <u>12 </u>total movies

<u>12 will be the denominator of our fraction. </u>

<u>The question asks: What is the probability that the movie she selects is NOT a drama?</u>

<u>So, we add the number of action and comedy movies. </u>

5+4=<u>9</u>

9 is our numerator.

<u>But wait! We have to simplify the fraction 9/12!</u>

9 divided by 3= 3

12 divided by 3= 4

Reduced answer: 3/4

5 0
3 years ago
What is the circumference if the diameter is 21in and pi is 22/7
Ede4ka [16]

Answer:

66 in

Explanation:

the circumference can be calculated as:

C=d\cdot\pi

Where d is the diameter and π is 22/7.

So, replacing the values, we get:

C=21\cdot\frac{22}{7}=\frac{21\cdot22}{7}=\frac{462}{7}=66\text{ in}

Therefore, the circumference is 66 in.

6 0
2 years ago
Why is it important to measure perimeter and area
blagie [28]

Perimeter and area are two important and fundamental mathematical topics. They help you to quantify physical space and also provide a foundation for more advanced mathematics found in algebra, trigonometry, and calculus. Perimeter is a measurement of the distance around a shape and area gives us an idea of how much surface the shape covers.

Knowledge of area and perimeter is applied practically by people on a daily basis, such as architects, engineers, and graphic designers, and is math that is very much needed by people in general. Understanding how much space you have and learning how to fit shapes together exactly will help you when you paint a room, buy a home, remodel a kitchen, or build a deck.
4 0
3 years ago
Read 2 more answers
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