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
2x - 3x = -2
-x = -2
x = 2
NQ = NS = 2x
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:
Cancellation it enables us to eliminate or get rid of one of the variables, so we can solve a more simplified equation.
Some textbooks refer to the elimination method as the addition method or the method of linear combination.
This is because we are going to combine two equations with addition!
Step 1
First, we align each equation so that like variables are organized into columns.
Step 2
Second, we eliminate a variable.
If the coefficients of one variable are opposites, you add the equations to eliminate a variable, and then solve.
If the coefficients are not opposites, then we multiply one or both equations by a number to create opposite coefficients, and then add the equations to eliminate a variable and solve.
Step 3
Thirdly, we substitute this value back into one of the original equations and solve for the other variable.
Example of how to apply the elimination method for solving systems of equations is attached.
-7√5
rewrite 20 as 2^2·5
factor 4 out of 20. negative ∛4(5)-√5
rewrite 4 and 2^2 negative ∛2^2·5-√5
pull terms out from under the radical
-3(2√5)√5
multiply 2 by -3
-6√5-√5
subtract √5 from -6√5
-7√5
the answer is -7√5
Answer:
In exact form it is w=-33/8
In decimal form it is w=-4.125
In mixed number form it is w=-4 1/8
Step-by-step explanation:
