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Digiron [165]
2 years ago
13

N is the in center of △ABC. Use the given information to find NS. NQ=2x NR=3x−2

Mathematics
1 answer:
kramer2 years ago
4 0

Given that N is the incenter of △ABC, NS = 4.

<h3>What is the Incenter of a Triangle?</h3>
  • The incenter of a triangle is the point of concurrency of the three angle bisectors of a triangle.
  • The perpendicular distances from each sides of the triangle to the incenter are equal.

Given the image where:

NQ = 2x

NR = 3x − 2

NQ = NR = NS (equidistant from the incenter)

Thus:

2x = 3x - 2

  • Add like terms

2x - 3x = -2

-x = -2

x = 2

NQ = NS = 2x

  • Plug in the value of x

NS = 2(2)

NS = 4

Therefore, given that N is the incenter of △ABC, NS = 4.

Learn more about the incenter on:

brainly.com/question/1831482

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You're dealing with "arc length" here, and the formula for that is   s = r*theta, where r is the radius and theta is the central angle in radians (not degrees).

Thus,   s = (12pi inches) = (10 inches)(theta), so

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6 0
3 years ago
Read 2 more answers
Please help ill give you 20 points :c
posledela

Answer: D+Q= 30

0.10 d+ 0.25 q= 4.80

Step-by-step explanation:

A dime is worth 10 cents and a quarter is worth 25 cents.

7 0
3 years ago
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Dalia buys a winter jacket at a used clothing store that costs $30. She lives in Idaho, where the sales tax is 6%. Write an equa
olya-2409 [2.1K]

Answer:

Step-by-step explanation:

Discussion

Question One

The first question is just to derive a formula that represents the cost of anything bought in Idaho.

c = p + 6/100 * p

c = p + 0.6 * p

c = 1.06 p

Question Two

The second question requires an entirely different formula. You don't use the first formula. You just use it's idea. Further, you take the sales tax only when you know how much money has exchanged hands.

c  = (p - 30/100 p) + 6/100*(p - 30/100 * p)

c = (p - 0.3p) + 0.06* (p - 0.3p)

c = 0.7 p + 0.06*(0.7p)                          Combine the right side

c = 0.7p + 0.042p                                 Combine

c = 0.742p

33.39 = 0.742p                                        Divide by 0.742

33.39/0,742 = p                            

p = 45 dollars

The original cost was 45 dollars

5 0
2 years ago
Top 12 left side x right side 7
Maurinko [17]

Answer:

I think the answer is

1.7142857144

Step-by-step explanation:

12 divide by 7

8 0
2 years ago
Henry cuts a piece of yarn that was 11/6 feet long into 2 pieces . List 2 different pairs of fraction that could show the length
san4es73 [151]
To find the length of each piece, you will divide 11/6 by 2.

11/6 x 1/2 = 11/12 feet

Each piece is 11/12 feet.

11/12 = 22/24

11/12 = 33/36
8 0
3 years ago
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