Are the following lines parallel ?
2 answers:
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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:
Answer: (12, 0) and (0, 8)
Step-by-step explanation:
This equation is in standard form. We can sub in a number for x to solve for y and vice versa.
Let's sub in 0 for x.
When x is 0 y is 8 giving us the coordinate (0, 8).
Now lets sub in 0 for y
When y is 0 x is 12 giving us the coordinate (12, 0)