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hodyreva [135]
2 years ago
9

Step 2: Construct regular polygons inscribed in a circle.

Mathematics
2 answers:
In-s [12.5K]2 years ago
7 0

Firstly, we can observe that line segment PQ is the radius of Circle Q, as well as the fact that line segment PQ is the radius of Circle P. With this observation we can confirm that Circles P and Q have the same radius, and that they are equal. Next, we are also able to observe that line segment RQ is a radius of Circle Q, so we can prove that line segments PQ and RQ are equal due to them both being radii of Circle Q. Similarly, line segment PR is also a radius of Circle P, so we can prove that line segments PQ and PR are equal due to them both being radii of Circle P. Finally, due to the transative property we can prove that line segments PR and RQ are equal, so that means that all sides of Triangle PQR, (PQ, RQ, and PR) are equal, which means that Triangle PQR is and equilateral Triangle.

MissTica2 years ago
4 0

Several ways to prove but let's use one only

Here

  • PQ is the radius of circle Q

Also

  • PQ is the radius of circle P

Hence P and Q circles have same radius

Now

  • PQ=RQ

As both are radius of circle Q

And

  • PQ=PR

As both are radius of circle P.

Hence as per transitive property

  • PR=QR

Now

  • PQ=QR=PR

Hence

∆PQR is equilateral

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At Friday's football game, 1,294 tickets were sold for a total amount of $8,816.00. If each student ticket costs $5.00, and each
NeTakaya

Answer:

512 student tickets.

Step-by-step explanation:

Let x be number of student tickets and y be number of adult tickets.

We have been given that at Friday's football game 1,294 tickets were sold. We can represent this information as:

x+y=1294...(1)

We are also told that each student ticket costs $5.00, and each adult ticket costs $8.00 and 1,294 tickets were sold for a total amount of $8,816. We can represent this information as:

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From equation (1) we will get,

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Substituting this value in equation (2) we will get,

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x=\frac{-1536}{-3}

x=512

Therefore, 512 student tickets were purchased at Fridays football game.

6 0
3 years ago
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