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:
Just about 2100 people
Step-by-step explanation:
2 out of 5 is 60% and 7*5 is 35 so if you multiply 7 by 3 then you get 21 and if you multiply that by 100 then you get 2100
I think it D cause 30(cos(30x)+14=-16
Your dividing by 30
your 180 (which is degrees) is
radians. As the cosine function is periodic with period 2 we get
Answer:
<em>Pool 1 leaks faster than pool 2.</em>
Step-by-step explanation:
<u>Rates of change</u>
The rate of change (ROC) is a measure that compares two quantities, usually to know how fast one variable changes in time.
We are given two rates of change for two pools that are leaking. The first one loses 2/3 gallon in 15 minutes, and the other loses 3/4 gallon in 20 minutes.
To compare them, we are required to express time in hours. Recall one hour has 60 minutes, or equivalently, one minute has 1/60 hours. Converting both times, we have:
15 minutes = 15/60 = 1/4 hours
20 minutes = 20/60 = 1/3 hours
Now compute both rates of change:
Pool 1:
Pool 2:
Comparing both ratios, it's clear pool 1 leaks faster than pool 2.
Answer: choice A
Step-by-step explanation:
by rearranging the initial inequality you’ll get
which equals
then multiply both sides by 2/3
