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Tpy6a [65]
2 years ago
13

Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N i

s 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?

x > 38
x < 39
x < 77
x > 103
Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
4 0

Answer: x>38

Step-by-step explanation:

By the exterior angle theorem, x=39+38=77.

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Using binomial theorem, expand (x+6)^8 <br><br> edit: You could use the help of combinations too.
Pavlova-9 [17]

x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616

<u>Explanation:</u>

We know

(x+y)ⁿ = ∑ ⁿCₐxⁿ⁻ᵃyᵃ

and ⁿCₐ = n! / ( a! ) . ( n-a )!

So,

(x+6)⁸ = ⁸C₀x⁸ + ⁸C₁(x)⁸⁻¹(6)¹ + ⁸C₂(x)⁸⁻²(6)² + ⁸C₃(x)⁸⁻³(6)³ + .......+ ⁸C₈(x)⁸⁻⁸(6)⁸

         = ₓ⁸ + 8x⁷ₓ 6 + 28x⁶ₓ 36 + 56x⁵ₓ 216 + 70x⁴ₓ 1296 + 56x³ₓ 7776 + 28x²ₓ     46656 + 8x . 279936 + 1679616

         = x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616

Thus, the expansion of ( x+6)⁸ using binomial theorm is

x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616

4 0
3 years ago
Anna spends her entire allowance one month. she spends 1/2 on new clothes, 1/6 on food, 1/9 on movies and 2/9 on music. how much
BabaBlast [244]

Answer:

b. 7/18.

Step-by-step explanation:

That would be 1/2 - 1/9

= 9/18 - 2/18

= 7/18.

8 0
3 years ago
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The bill is $100.82. Find the amount of a 15% tip.
amm1812
The tip is $15.12. The total price would be $115.94. I hope this helps you. 
5 0
3 years ago
The sum of the digits in a 2 digit number is 5. If the number is subtracted by 9 then the digits will be reversed. Find the numb
emmasim [6.3K]

Answer:

Let ten's place digit =x and unit place digit =y

Number=10x+y

x+y=5 ...(i)

10x+y−9=10y+x

9x−9y=9x−y=1 ...(ii)

from (i) and (ii) we get,

x=3,y=2

∴Number=10×3+2=32.

Step-by-step explanation:

Hope it helps!

4 0
3 years ago
4 Pencils and 2 rulers cost $8. 2 pencils and 4 rulers cost $10. Find the cost of 3 rulers and 3 pencils
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Answer:

4 pencil & 2 ruler = $8

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let the no. of Pencil be X and no. of ruler be Y

4x + 2y = 8

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solving the equation by elimination method,

multiplying eq 2 with 2

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subtracting,

- 6 y = -12

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2x = 10 - 8

2x = 2

x = 1

Cost of 3 ruler + 3 pencil

= 3(1) + 3(2)

= 3 + 6

= 9

<h2 /><h2>= $9</h2>
4 0
1 year ago
Read 2 more answers
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