72/160=?
Divide 72 by 160 to find the percent.
72/160=0.45
72 is 45% of 160.
I hope this helps :)
Answer:
D. y = cot x
Step-by-step explanation:
Answer:
The value of 
= 
Step-by-step explanation:
Vertical Angle theorem: It is about the angles that are opposite to each other.
Also, vertical angle are congruent that means vertical angles are equal.
In the given figure; 
and 
are vertical angle
then, by vertical angle theorem, 
.
Supplementary angle: the sum of the angles whose measure on the straight line is 180 degree.
From the figure, , 
and 
forms a straight line.
then, by the definition of Supplementary angle;
Substituting the value of in above equation:
or
Simplify:
therefore, 
and 
,
the value of 
.
The measure of m<JMO is 20 degrees
The triangle JOK is a 60 degrees equilateral triangle. Hence the measure of m<O at the center is 60 degrees.
<h3>Angle at a point</h3>
- The sum of the angle at a point is 360 degrees.
Since the base angles of triangle KOL and OLM are equal hence;
- m<KOL + m<MOL + m<JOM + m<JOK = 360 (angle at a point)
Substitute the base angles and the equilateral angles to get angle JOM
80 + 80 + m<JOM + 60 = 360
m<JOM = 360 - 360 - 220
m<JOM = 140 degrees
<h3>Sum of angles in a triangle</h3>
Since the sum of angle in the triangle JOM is 180 degrees, hence;
2m<JMO + m<JOM = 180
2m<JMO = 180 - 140
2m<JMO = 40
m<JMO = 20 degrees
Hence the measure of m<JMO is 20 degrees
Learn more on angles here: brainly.com/question/25770607
