In the regular nonagon shown, what is the measure of angle x? 36° 40° 45° 60°
2 answers:
The picture in the attached figure
we know that
the sum of the interior angles of a polygon is (n-2)*180
where
n is the number of sides.
For n=9 sides (a nonagon has nine sides)
the sum of the interior angles =(9-2)*180--------> 1260°
Is a regular nonagon
so
each interior angle has the same degrees:
1260/9=140 degrees
x is the exterior angle
exterior angle=180-interior angle-------> 180-140=40°
the answer is
the angle x measure 40°
we know that
the sum of the interior angles of a polygon is (n-2)*180
where
n is the number of sides.
For n=9 sides (a nonagon has nine sides)
the sum of the interior angles =(9-2)*180--------> 1260°
Is a regular nonagon
so
each interior angle has the same degrees:
1260/9=140 degrees
x is the exterior angle
exterior angle=180-interior angle-------> 180-140=40°
the answer is
the angle x measure 40°
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ANSWER
The set of all rational numbers and the set of all real numbers.
EXPLANATION
The set of rational numbers contains all numbers that can be written in the form,
where a and b are integers and b≠0.
The given number is
It belongs to the set of rational numbers.
The set of rational numbers is a subset of the set of real numbers.
Hence
also belongs to the set of real numbers.
The correct answer is A.
The set of all rational numbers and the set of all real numbers.
EXPLANATION
The set of rational numbers contains all numbers that can be written in the form,
where a and b are integers and b≠0.
The given number is
It belongs to the set of rational numbers.
The set of rational numbers is a subset of the set of real numbers.
Hence
also belongs to the set of real numbers.
The correct answer is A.
We are given points 
and 
.
We first find the midpoint M, of AB, which divides the segment AB into 2 equal parts,
then we find the midpoint N of AM, and midpoint K of MB.
Thus each of the half parts is divided into 2 equal parts. The whole segment is divided into 4 equal parts.
The coordinates of M, N and K are found as follows:
the coordinates of M are:
the coordinates of N are:
similarly, the coordinates of k are:
We first find the midpoint M, of AB, which divides the segment AB into 2 equal parts,
then we find the midpoint N of AM, and midpoint K of MB.
Thus each of the half parts is divided into 2 equal parts. The whole segment is divided into 4 equal parts.
The coordinates of M, N and K are found as follows:
the coordinates of M are:
the coordinates of N are:
similarly, the coordinates of k are: