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2 years ago

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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p IFF q = (p OR NOT q) AND (q OR NOT p)

so that its negation is

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= NOT (p OR NOT q) OR NOT (q OR NOT p)

= (NOT p AND q) OR (NOT q AND p)

The statements in bold match, so p XOR q is indeed equivalent to NOT (p IFF q).

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