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sp2606 [1]
3 years ago
11

The measure of the central angle AOB is by 30° greater than the measure of the inscribed angle which intercepts arc AB. What are

the measures of these angles?
Mathematics
1 answer:
liberstina [14]3 years ago
5 0

Answer:

  • inscribed angle: 30°
  • central angle: 60°

Step-by-step explanation:

The central angle is double the inscribed angle for the same intercepted arc. Since doubling the angle adds 30° to it, the original inscribed angle must be 30°.

Then the central angle is 30°+30° = 2·30° = 60°.

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Which phrase describes the algebraic expression 6x?
Allisa [31]

The algebraic expression uses the terms to denote symbols

sum of means addition

difference of means subtraction

product of means multiplication

quotient of means division

Here we have the term 6x

which actually means 6 times x or

6 multiplied by x

hence by multiplication we use the word product of

so we have the product of 6 and a number as our right answer

5 0
3 years ago
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The equation of a line is -6x-2y=-18<br> What is the x-intercept of the line?
Fed [463]

 -6x - 2y = -18

-6x - 2(0) = -18

   -6x - 0 = -18

        -6x = -18

         -6      -6

           x = 3

hope this helps :)

8 0
3 years ago
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What is the measurement of 2 and 11​
vagabundo [1.1K]

<2=40° <11=60°

Because <1 was 140°, 2 is 40°. 40°+80°=120°

180°-120°=60°

6 0
3 years ago
What is the factorization of the polynomial below? x^3 + 8x^2 + 17x + 10
faltersainse [42]

Answer:

This is your answer.

Step-by-step explanation:

Hope is helps!!

8 0
3 years ago
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There are 22 rows of seats on a concert hall: 23 seats are in the 1st row, 27 seats on the 2nd row, 31 seats on the 3rd row, and
JulijaS [17]
We can model this situation with an arithmetic series.
we have to find the number of all the seats, so we need to sum up the number of seats in all of the 22 rows.

1st row: 23
2nd row: 27
3rd row: 31
Notice how we are adding 4 each time.

So we have an arithmetic series with a first term of 23 and a common difference of 4.

We need to find the total number of seats. To do this, we use the formula for the sum of an arithmetic series (first n terms):

Sₙ = (n/2)(t₁ + tₙ)

where n is the term numbers, t₁ is the first term, tₙ is the nth term

We want to sum up to 22 terms, so we need to find the 22nd term

Formula for general term of an arithmetic sequence:

tₙ = t₁ + (n-1)d,

where t1 is the first term, n is the term number, d is the common difference. Since first term is 23 and common difference is 4, the general term for this situation is

tₙ = 23 + (n-1)(4)

The 22nd term, which is the 22nd row, is

t₂₂ = 23 + (22-1)(4) = 107

There are 107 seats in the 22nd row.

So we use the sum formula to find the total number of seats:

S₂₂ = (22/2)(23 + 107) = 1430 seats

Total of 1430 seats.
If all the seats are taken, then the total sale profit is

1430 * $29.99 = $42885.70
4 0
3 years ago
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