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2 years ago

Which theorem can you use to show that the quadrilateral on the tile floor is a parallelogram?

Mathematics

1 answer:

makvit [3.9K]2 years ago

8 0

Answer:

Parallelogram Theorem #1 Converse

Step-by-step explanation: : If each of the diagonals of a quadrilateral divide the quadrilateral into two congruent triangles, then the quadrilateral is a parallelogram. Parallelogram Theorem #2 Converse: If the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

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Which of the following proves these two triangles congruent by AAS?

Nataly [62]

Answer:

b is correct

Step-by-step explanation:

hope this helps

3 0

2 years ago

4/9 / 9/5= the answer is

mr Goodwill [35]

Answer:

20/81

Step-by-step explanation:

Without parentheses, it is hard to tell what you are dividing. We assume you want ...

(4/9)/(9/5)

Then ...

$\displaystyle\frac{\left(\frac{4}{9}\right)}{\left(\frac{9}{5}\right)}=\frac{4}{9}\cdot\frac{5}{9}=\frac{4\cdot 5}{9\cdot 9}=\frac{20}{81}$

_____

As written (without parentheses), your expression is evaluated left to right, so evaluates to ...

4/(9·9·5) = 4/405

7 0

3 years ago

A group of 30 students from your school is part of the audience for a TV game show. The total number of people in the audience i

s344n2d4d5 [400]

Answer:

5.3%

Step-by-step explanation:

The final probability is calculated by means of the quotient of the specific combinations and the total of total combinations

Let's start with the specific ones,

First the number of combinations of 4 of the 30 students getting a spot, i.e .:

A combinations are equal to:

nCx = n! / x! * (n-x)!

Replacing:

30C4 = 30! / (4! * 26!) = 27405

Segundo the number of combinations of the other audience members filling the other 4 (8-4) spots n = 110, 140 - 30

110C4 = 110! / (4! * 106!) = 5773185

Now the total combinations of possible 8 contestants from the audience

140C8 = 140! / (8! * 132!) = 2.98 * 10 ^ 12

Finally, the probability is equal to:

P = (30C4 * 110C4) / 140C8

replacing:

P = 27405 * 5773185 / 2.98 * 10 ^ 12

P = 0.053

Therefore the probability is 5.3%

4 0

3 years ago

What is a reasonable constraint for the model -3.2 2.62 -3.2 0

alexandr402 [8]

Answer:

The answer to your question is C. 3.2

Step-by-step explanation:

| 3.2 |

lines | | mean absolute value, and absolute value means the distance of a number to the origin (0,0) it does not matter the sign.

Then to answer your question just do not write the | | and consider it as a positive sign.

If your question had a negative number ex. | -3.2 | the answer would also be 3.2.

Step-by-step explanation:

7 0

3 years ago

Can someone help with the polynomials? Please

kolbaska11 [484]

Answer:

22x^2 -10xy + 12x

Step-by-step explanation:

To add and subtract polynomials, combine only like terms. When doing it vertically, stack polynomials and line up the same bases and exponents. Once this is done, simply add and subtract the coefficients.

10x^2 + 12xy + 4x

+ 12x^2 -22xy + 8x

_________________

22x^2 -10xy + 12x

Here we added 10 + 12 = 22, 12 + -22 = -10 and 4 + 8 = 12.

8 0

3 years ago