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fenix001 [56]
3 years ago
6

Circle geometry please help,

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0

Answer:

7. Inscribed angle

Step-by-step explanation:

7. Inscribed angle

8.

y° = 70°

z° = 140°

8. y° and 70° are the measures of the angles subtended in the same arc. So, they would be equal.

Therefore, y° = 70°

Measure of central angle is two times the measure of the inscribed angle.

Therefore,

z° = 2* 70° = 140°

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If 50% of a number is 150 and 30% of the same number is 90, find 80% of that number.
Alexandra [31]

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240

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slamgirl [31]

Answer:

1806 seats.

Step-by-step explanation:

From the question given above, the following data were obtained:

Row 1 = 24 seats

Row 2 = 27 seats

Row 3 = 30 seats

Total roll = 28

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From the above data, we can liken the roll to be in arithmetic progress.

Also, we are asked to determine the total number of seats in the theater.

Thus the sum of the sequence can be written as:

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Thus, we can obtain obtained the total number of seats in the theater by applying the sum of arithmetic progress formula. This can be obtained as follow:

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Common difference (d) = 27 – 24 = 3

Number of term (n) = 28

Sum of the 28th term (S₂₈) =?

Sₙ = n/2 [2a + (n –1)d]

S₂₈ = 28/2 [2×24 + (28 –1)3]

S₂₈ = 14 [48 + 27×3]

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S₂₈ = 14 [129]

S₂₈ = 1806

Thus, the number of seats in the theater is 1806.

6 0
2 years ago
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