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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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Based on the number of cupcakes that Autumn made and the relationship to Averle, the number of cupcakes made by Averle was <u>16 cupcakes.</u>

Autumn made 72 more cupcakes that the cupcakes made by Averle.

Autumn made 88 cupcakes which means that the number of cakes made by Averle must have been 72 less than this:

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In conclusion, Averle made 16 cupcakes.

<em>Find out more on this kind of operation at brainly.com/question/17829864. </em>

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