Which term describes the point where the three angle bisectors of a triangle intersect?
2 answers:
Answer:
Hence, The term which describes the point where the three angle bisectors of a triangle intersect is incenter.
Step-by-step explanation:
For better understanding of the solution see the attached figure of the problem :
If the angles bisectors of all the three angles of triangle meet at a point inside a circle, then that point is equidistant from all the three vertices of the triangle.
Also, The incenter of a triangle is the center of the incircle or the largest circle that can be inscribed in the triangle.
The point at which all the three angle bisectors meet is also the center of the incircle.
Hence, The term which describes the point where the three angle bisectors of a triangle intersect is incenter.
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A direct variation is a mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. In other words, a direct variation is where 
.
In answer a,
, so it is a direct variation.
In answer c,
, so it is a direct variation.
In answer d,
, so it is a direct variation,
Only answer b is left, which means the answer must be 'b'.
We also know 'b' is the answer because it cannot be expressed as <span>. Instead, it is expressed as </span>
, which is not the same thing and is therefore not a direct variation.
Hope I helped, and let me know if you have any questions :)
In answer a,
In answer c,
In answer d,
Only answer b is left, which means the answer must be 'b'.
We also know 'b' is the answer because it cannot be expressed as <span>
Hope I helped, and let me know if you have any questions :)
is not included as a rational number !
<u>Step-by-step explanation:</u>
Here we have , following expressions & we need to identify which of the following is not a rational number . Let's find out:
We know that , Rational Number : A number which can be expressed in form of p/q , where q is not equal to zero !
Here Expressions are:
:
Let's evaluate this expression
⇒
⇒
Therefore , It is a rational number ! .
:
Let's evaluate this expression
⇒
Therefore , It is a rational number ! .
:
Let's evaluate this expression
⇒
⇒
Therefore , It is a rational number ! .
Let's evaluate this expression
⇒
⇒
Therefore , It is not a rational number , as pi is included ! .