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SSSSS [86.1K]
3 years ago
11

What is the converse of the linear pairs theorem

Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0
The converse of a logicalstatement is a s tatement formed by reversing the parts of the statement.

For example, the logical statement "A implies B" has a converse of "B implies A"

The linear pairs theorem states that "<span>if two angles form a linear pair, then they are supplementary".</span>

The converse of the linear pairs theorem is therefore, "if two angles are suplementary, then they form a linear pair".
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AC if TC = 20q + 10q^2?
Alexus [3.1K]

Answer:

AC = (20+ 10q)

Step-by-step explanation:

Given that,

Total cost, TC = 20q + 10q²

We need to find AC i.e. average cost.

It can be solved as follows :

AC=\dfrac{TC}{q}\\\\AC=\dfrac{20q + 10q^2}{q}\\\\AC=\dfrac{q(20+ 10q)}{q}\\\\AC={(20+ 10q)}

So, the value of AC is (20+ 10q).

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3 years ago
Question 10 (5 points)
11Alexandr11 [23.1K]
I think the answer is A
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2/3 - 4x + 7/2 = -9x + 5/6 apply the properties.. step by step
Nutka1998 [239]

Answer:

x=5/13

Step-by-step explanation:

2/3+7/2=9x+5/6+4x

2/3+7/2-5/6=9x+4x

lcm of 2,3,6=6

2/3=4/6      7/2=21/6       5/6=5/6

4/6+21/6-5/6=9x+4x

30/6=13x

5=13x

x=5/13

8 0
3 years ago
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Help!! please if can i need answer
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The answer is C

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8 0
3 years ago
for any positive integer n, the sum of the first n positive integers equals n(n 1)/2. what is the sum of all the even integers b
marusya05 [52]

The sum of all the even integers between 99 and 301 is 20200

To find the sum of even integers between 99 and 301, we will use the arithmetic progressions(AP). The even numbers can be considered as an AP with common difference 2.

In this case, the first even integer will be 100 and the last even integer will be 300.

nth term of the AP = first term + (n-1) x common difference

               ⇒    300 = 100 + (n-1) x 2

Therefore, n = (200 + 2 )/2 = 101

That is, there are 101 even integers between 99 and 301.

Sum of the 'n' terms in an AP = n/2 ( first term + last term)

                                                = 101/2 (300+100)

                                                = 20200

Thus sum of all the even integers between 99 and 301 = 20200

Learn more about arithmetic progressions at brainly.com/question/24592110

#SPJ4        

7 0
1 year ago
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