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Svetradugi [14.3K]
3 years ago
8

The sum of the measures of the interior angles of a convex polygon is 3060º. How many sides does the polygon have?

Mathematics
2 answers:
seraphim [82]3 years ago
8 0
Use the formula:

(sum of interior angles / 180) - 2 = # of sides

(3060 / 180) + 2 = 19 
Ksivusya [100]3 years ago
5 0
The formula for the sum of the measures of a polygon's interior angles is 180(n-2), where n is the number of sides.
3060 = 180(n-2)
17=n-2
19=n
Therefore, the polygon has C. 19 sides.
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Answer: last option.

Step-by-step explanation:

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As you can see, when you can add the exponents when you have powers with equal base.

Then,  6^5  and 5^{-3} do not have the same base, therefore, the exponents can't be added.

Therefore, Eli is incorrect, because he added the exponents even though the bases are not the same.

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4 years ago
The high school soccer team can have no more than 26 players. Write and solve an inequality to determine how many more players c
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Answer:

The inequality to determine how many more players can make the team is:

x+17\leq 26

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Step-by-step explanation:

Given:

Maximum number of players the soccer team can have = 26

Number of players already chosen by coach = 17

To find how many players can still make the team.

Solution:

<em>Let the players that can still make the team be = </em>x

Players already chosen = 17

<em>Total number of players in the team can be given as =</em> x+17

Total numbers must not exceed 26.

So, the inequality can be written as:

x+17\leq 26

Solving for x

Subtracting both sides by 17.

x+17-17\leq 26-17

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Answer:

{1,4}

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