Refer to the attached image.
Given:
The measure of 
and 
.
Also, Three rays ML, MK, and MJ share an endpoint M. Ray MK forms a bisector as shown in the attached image and the bisector divides angle JML into two parts.
To Prove: 
is a right angle.
Proof:
Statements Reasons
1. 
Given
2. 
Given
3. 
The reason for statement 3 is Angle addition postulate. As angle JML is composed of 2 angles that is angle JMK and angle KML. So by adding the measures of angles JMK and KML, we will get the measure of angle JML which is referred as Angle addition postulate.
4. 
Substitution property of equality
5. 
Simplification
6. 
JML is a right angle. Definition of right angle
Answer:
The length of the third side of given triangle lies between 6.5 and 19.9.
Step-by-step explanation:
The law of cosine is as follows
---------------1
⇒ a and b are the given sides of the triangle and c is the third side, and 
is the angle between a and b .
In equation 1 , the maximum and minimum values of 
are 1 and -1.
so the value of c lies in between
⇒ 
and 
= 
Given a=13.2 and b=6.7 so the the side lies in between |13.2-6.7| and |13.2+6.7|
so the third side lies between 6.5 and 19.9
Answer:
Step-by-step explanation:
Given:
Waiting time = 5 hours.
We need to find the number of minutes for 5 hours.
Solution:
We know that 60 minutes for each hour, so one hour is equal to 60 minutes.
For one hour = 
For five hours = 
Therefore, you will have to wait 300 minutes in a line.
Answer:
43.8 km to the nearest tenth.
Step-by-step explanation:
5 miles is 8 km
so 1 mile = 8/5 km
and 27.4 miles = 27.4 * 8/5
= 43.84 km
I'll tell you the answer but should I graph it, solve for x, solve for y, or what should I solve for?
