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marysya [2.9K]
3 years ago
10

a group of a hundred people some students and some faculty attending museum opening each student paid $10 per person for entranc

e to the museum and each of the Faculty paid $25 per person for entrance if the total paid for all 100 people was 1300 dollars how many students attended the museum opening
Mathematics
1 answer:
Alexandra [31]3 years ago
3 0
We suppose that every one paid $10 for entrance. So the total paid should be $1000. Now there is $300 more. The faculty should pay $15 more than student. So the faculty number is $300/15=20. Then the number of student is 80.
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Answer:

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Step-by-step explanation:

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Similarly, the measure of external angle corresponding to ∠in, ∠n = 180°-∠in.

Now, the sum of all the external angles of the polygon,

(∠1+∠2+...+∠n)=(180°-∠i1)+(180°-∠i2)+...+(180°-∠in)

=(180°+180°+...n times)-(∠i1+∠i2+...+∠in)

=n x 180° - (∠i1+∠i2+...+∠in)

As ∠i1+∠i2+...+∠in is the sum of all the internal angles of the polygon.

So, the sum of all the external angles of the polygon =

(n x 180°) - (sum of all the internal angles of the polygon).

In the case of a triangle, n=3  and the sum of all the three internal angles, ∠i1+∠i2+∠i3 = 180°.

Therefore, the sum of all the external angles of a triangle,

∠1+∠2+∠3 =3x180°-(∠i1+∠i2+∠i3)

                 =540°=180°

                 =360°.

Hence, the sum of all the external angles of a triangle is 360°.

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