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vaieri [72.5K]
3 years ago
7

Help plz...

Mathematics
1 answer:
quester [9]3 years ago
3 0

Answer:

B. Sum of interior angles; converse of opposite angles theorem

Step-by-step explanation:

In statement 1, all the interior angles of the quadrilateral are added to give a sum of 360°. The reason would therefore be "sum of interior angles".

As a follow up to the already established fact that the opposite angles of the quadrilateral are congruent to each other, this satisfies the Converse of Opposite Angles Theorem, which states that if the opposite angles of a quadrilateral are congruent to each other then the quadrilateral must be a parallelogram.

Reason for the statement in number 6 is definitely "converse of opposite angles theorem."

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What is the square root of 18?
vazorg [7]

Answer:

4.24264068712

or 4.24 to round.

Step-by-step explanation:

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4 years ago
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Refer to the following distribution of commissions:______. Monthly Commissions Class Frequencies $600 up to $800 3 $800 up to 1,
blsea [12.9K]

Answer:

 the midpoint of the class with the greatest frequency 1500

Step-by-step explanation:

The illustration of the dataset given can be well represented in a table format as shown below.

Class                      Frequency                     Relative Frequency

$600 - $800                   3                              \mathbf{   \dfrac{3}{120} = 0.025}

$800 - $1000                  7                              \mathbf{   \dfrac{7}{120} = 0.059}

$1000 - $1200                11                              \mathbf{   \dfrac{11}{120} = 0.092}

$1200 - $1400                22                             \mathbf{   \dfrac{22}{120} = 0.183}

$1400 - $1600                40                            \mathbf{   \dfrac{40}{120} = 0.333}

$1600 - $1800                 24                            \mathbf{   \dfrac{24}{120} = 0.2}

$1800 - $2000                 9                            \mathbf{   \dfrac{9}{120} = 0.075}

$2000 - $2200                4                             \mathbf{   \dfrac{4}{120} = 0.033}

Total                               120                                           1

Therefore, the midpoint of the class with the greatest frequency is between  $1400 - $1600  since the frequency 40 happens to be the greatest frequency

The midpoint =\dfrac{upper \ limit + \ lower \ limit}{2}

The midpoint =\dfrac{1400+1600}{2}

= 1500

3 0
3 years ago
Which statement about 2x + 1 is true?
zhuklara [117]

Answer: A

Step-by-step explanation:

Statement  A is right because  2x is being added to 1 which makes it a sum statement.

Statement B is wrong because 1 is the coefficient in this expression, 2  is the coefficient of x.

Statement C is wrong because the only variable in the expression is x .

Statement D  is wrong because  2x  is not being multiplied by 1.

5 0
3 years ago
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Tickets sales to the local gaming convention, PlayerCon, are on the rise! Sales of 2-day tickets brought in $188,100. A total of
AlekseyPX
<h3>Answer:</h3>
  • 1650 Adult tickets
  • 4950 children's tickets
<h3>Step-by-step explanation:</h3>

<em>Using numerical reasoning</em>

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... 6600×$26 = $171,600

Revenue was actually $188,100 -171,600 = $16,500 more than that. Each adult ticket sold instead of a children's ticket increases revenue by $36 -26 = $10, so there were $16,500/$10 = 1650 adult ticket sold.

The number of children's tickets was then 6600 -1650 = 4950.

_____

<em>Using an equation</em>

Let "a" represent the number of adult tickets sold. Then the number of children's tickets is (6600-a) and the total revenue is ...

... 36a +26(6600 -a) = 188,100

... 10a = (188,100 -171,600) . . . . . . . collect terms, subtract 26·6600

... 16,500/10 = a = 1650 . . . . . . . . . divide by the coefficient of "a"

... (6600 -a) = 6600 -1650 = 4950 . . . . . childrens's tickets sold.

There were 1650 adult and 4950 children's tickets sold.

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4 years ago
Express x^2-5x-24 as the product of two binomials
NeTakaya
Expressing a quadratic equation as the product of two binomials is the same thing as factoring. 
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To multiply is out, you FOIL, or muliply the First terms in the two binomials (the x's), the the Outer terms (the x and the -8), then the Inner terms (the 3 and the x), and finally the Last terms (the 3 and the -8).<span>so it's (x-8)(x+3)</span>
6 0
3 years ago
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