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:
33%
Step-by-step explanation:
Since the probability of rain on Thursday is 67%, the probability of no rain on Thursday is 100% - 67% = 33%.
Slope: 1/40
tell me if i’m right
Answer:
19/50
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given : 
We have to write which identity we will use to prove the given statement.
Consider 
Take left hand side of given expression 
We know

Comparing , we get, a= 180° and b = q
Substitute , we get,

Also, we know
and 
Substitute, we get,

Simplify , we get,

Hence, use difference identity to prove the given result.