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Nataly [62]
3 years ago
6

Solve for x:

Mathematics
1 answer:
Kamila [148]3 years ago
3 0
-5
It’s c because your solving for x
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How many diagonals can be constructed from one vertex of an n-gon? State your answer in terms of n and, of course, justify your
natulia [17]

Answer:

The \ total \ number \ of \ distinct \ diagonals \ in \ a \ polygon \ with \ n \ sides= \dfrac{n \times (n - 3)}{2}

Step-by-step explanation:

A diagonal is defined in geometry as a line connecting to two non adjacent  vertices.

Therefore, the minimum number of sides a polygon must have in order to have a diagonal n - 3 sides as the 3 comes from the originating vertex and the other two adjacent vertices

Given that the polygon has n sides, the number of diagonals that can be drawn from each of those n sides gives the total number of diagonals as follows;

Total possible diagonals = n × (n - 3)

However, half of the diagonals drawn within the polygon are the same diagonals drawn in reverse. Therefore, the total number of distinct diagonals that can be drawn in a polygon is given as follows;

The \ total \ number \ of \ distinct \ diagonals \ in \ a \ polygon \ with \ n \ sides= \dfrac{n \times (n - 3)}{2}

6 0
3 years ago
A regular bottle of sunscreen contains 12oz of lotion. The family sized bottle contains 20% more. Joe buys 4 family sized bottle
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To check, we can solve how much sunscreen is in a family sized bottle first. We need to find what is 20% of 12. First, turn 20% into a decimal: 20%/100= 0.2. Now, multiply 0.2 by 12, which is 2.4. Then, you add this to 12 because it is 20% more. 12+2.4= 14.4. Multiply this by 4: 14.4*4=57.6. Since his number is close to 50, he is kinda correct, but a much more reasonable answer would be closer to 60. Hope this helped!
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Answer:

9/5

Step-by-step explanation:

What I do is look at the bottom number and add that to the top number how ever many time the whole number is.

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