N is the in center of △ABC. Use the given information to find NS. NQ=2x NR=3x−2
1 answer:
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:
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Answer: p=2
Step-by-step explanation: The first thing you should do is combine any like terms. For you this means combining 4p and -7p. This gives you -3p+5=-1. Then, subtract 5 on each side to eliminate the 5. This gives you -3p=-6. Divide by -3 on each side to allow the p to stand alone. This makes p=2.
