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Nutka1998 [239]
3 years ago
14

In ANOP, NP is extended through point P to point Q,

Mathematics
1 answer:
kompoz [17]3 years ago
8 0

Answer:

x = 10

Step-by-step explanation:

Form the information given, we can deduce that:

m<OPQ is an exterior angle of ∆NOP = (6x - 15)°

m<PNO = (2x + 18)° and m<NOP = (2x - 13)° are both interior angles that are opposite to the exterior angle.

Therefore, based on the exterior angle theorem:

m<OPQ = m<PNO + m<NOP

(6x - 15)° = (2x + 18)° + (2x - 13)°

Solve for x

6x - 15 = 2x + 18 + 2x - 13

6x - 15 = 4x + 5

6x - 15 - 4x = 4x + 5 - 4x (Subtraction property of equality)

2x - 15 = 5

2x - 15 + 15 = 5 + 15 (addition property of equality)

2x = 20

2x/2 = 20/2 (division property of equality)

x = 10

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In a reapeating musical pattern, there are 56 beats in 7 measures
anygoal [31]

Answer:

You will need to find the number of measures per beat (it will be a fraction): 7/56=0.125 Then, you multiply that by 104: 0.125x104=13 This means that there will be 13 measures after 104 beats.

Step-by-step explanation:

104 beats is multiplied with the decimal of the fraction of beats and measures which means it has been used with whole numbers

0.125 is not a whole number we know x 100 is 12.5 and we know x4 is 0.5

When we work with the first 4 multiples we can usually spot whether it would take more than 4 to round figure it to 0.5 to add to 12.5

There are 3 digits as decimals and x 100 quantifies.  just by adding 4 to x100 to each of them until a whole number found 12.5 + 0.5 = whole number = 13.

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3 years ago
There are 36 cupcakes. 9 of them are chocolate. What percent are chocolate?
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Answer:

25%

Step-by-step explanation:

9/36 = 0.25

25% are chocolate.

7 0
4 years ago
(a) What is a sequence? A sequence is an unordered list of numbers. A sequence is the sum of an ordered list of numbers. A seque
crimeas [40]

Step-by-step explanation:

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lim n → ∞ an = 8 means that as n approaches infinity (becomes large), an approaches 8.

lim n → ∞ an = ∞ means that as n approaches infinity (becomes large), an approaches infinity (becomes large).

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3 years ago
Which shows the rational expression written using the least common denominator?
aleksandr82 [10.1K]

Answer:

(x + 1)/4x² + 4(x + 1)/4x²

Step-by-step explanation:

x+1/4x² + x+1/x²

The above can be simply as follow:

Find the least common multiple (LCM) of 4x² and x². The result is 4x²

Now Divide the LCM by the denominator of each term and multiply the result with the numerator as show below:

(4x² ÷ 4x²) × (x + 1) = x + 1

(4x² ÷ x²) × (x + 1) = 4(x + 1)

x+1/4x² + x+1/x² = [(x + 1) + 4(x + 1)]/ 4x²

= (x + 1)/4x² + 4(x + 1)/4x²

Therefore,

x+1/4x² + x+1/x² = (x + 1)/4x² + 4(x + 1)/4x²

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3 years ago
josh flips a colored chip that is red on one side and black on the other a total of 20 times. what is the probability of the 21t
kiruha [24]
As long as the mass of the chip is evenly distributed on each side, whatever times you flip the chip,

The probability will always be 50%
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