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rosijanka [135]
4 years ago
13

What is the measure of QPR

Mathematics
1 answer:
Katarina [22]4 years ago
5 0

Answer:

The answer I got was 86.

Step-by-step explanation:

This is called the central angle theorem. This means that the central angle, which in this case is QOR (let the origin (middle) be O), is twice the size of the inscribed angle, which is QPR.

That means: 2 x  QPR = QOR

→ 2 * (x-33) = x + 20

→ 2x - 66 = x + 20

Collect the like terms

→ 2x - x = 20 + 66

x = 86

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3 0
3 years ago
Find the sum of all positive integers less than 200, which:
Allushta [10]

Answer:

3900

Step-by-step explanation:

We want the sum from 5 to 195

5, 10, 15, 20,......195

an = 5 + 5(n-1)  since we can write this as an arithmetic sequence, adding 5 each time

The sum of the terms of an arithmetic sequence is given by

Sn = n/2 [2a1 + (n - 1)d],  

where d is the common difference of 5 and n is the term we want to add to

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s39 =39/2 [2*5 + (39-1)*5)]

s38 = 19.5[10+38*5]

        =19.5*[10+190]

          19.5*200

          =3900


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3 years ago
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liubo4ka [24]

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Drinks= $3.50 popcorn=$4.25

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