Which statement is true about this argument?

Mathematics

1 answer:

djyliett [7]2 years ago

5 0

Answer: The argument is valid by the law of detachment

Step-by-step explanation:

The law of detachment simply states that when the hypothesis is true, then the conclusion must also be true.

In this case, the argument is valid since the conclusion that "Quadrilateral JKLM is a square" follows from the argument that "a quadrilateral is a square, then the quadrilateral has four right angles".

The law of detachment is expressed here.

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Write these numbers in size order start with the smallest

professor190 [17]

First convert all to decimal.

7/9 = 0.777
8/11 = 0.727
0.79 = 0.79
84% = 0.84
4/5 = 0.8

Now line them back up in order from least to greatest based on the decimal value.

Final answer:
8/11, 7/9, 0.79, 4/5, 84%

7 0

3 years ago

What is the sum of the interior angles of the polygon shown below

DanielleElmas [232]

Answer:

720 degrees.

Step-by-step explanation:

The sum of the interior angles of a convex polygon with n sides is

180(n - 2) degrees.

In this case, n = 6 sides, so the angle sum is

180(6 - 2) = 180(4) = 720 degrees.

The reason this works is that if you draw a diagonal from one vertex to the others (see attached image), you get 2 fewer triangles than the number of sides. Each triangle contains a total of 180 degrees, so the total of all the interior angles is 180(n - 2).