<span>SAS
You've been given that AC = BC. So that's the first side or S of the proof. Then you've been given â 3 = â 4, which is the angle. And finally, CM = CM, which is the second S. So you have AC=BC, and â 3 = â 4, and finally CM = CM. So SAS can be used to prove that triangle ACM is congruent to triangle BCM.</span>
Answer:
The answer is 4.5 and 9/2
Step-by-step explanation:
First
54 / 12 = 4.5
Then
Change it into a fraction
Write is fraction form 4.5 / 1
Multiply both numerator and denominator by 10 for every number after the decimal point
4.5 × 10
1 × 10
Which will equal 45/10
Then Reduce the fraction gives 9/2
Answer:
It would take the newer pump 4.5 hours to drain the pool
Step-by-step explanation:
Let's investigate first what is the fraction of the job done in the unit of time (hour in this case) by each pump if the work individually:
older pump: if it takes it 9 hours to complete the job, it does
of the job in one hour.
newer pump: we don't know how long it takes (this is our unknown) so we call it "x hours". Therefore, in the unit of time (in one hour) it would have completed
of the total job.
both pumps together: since it takes both 3 hours to complete the job, in one hour they do
of the job.
Now, we can write the following equation about fractions of the job done:
<em>The fraction of the job done by the older pump plus the fraction of the job done by the newer pump in one hour should total the fraction of the job done when they work together.</em> That is in mathematical terms:

and solving for x:

15 is the GCF of 15 and 30, as 15 is the largest factor of 15 and 30.
1. The answer is D. a balance of power between the branches of Government
The separation of power separates government into executive, Judiciary, and Legislative with each of their own responsibilities.
This being done in order to prevent the government from becoming too powerful and transform into tyranny.
2. The answer is B. To decide if cases heard by lower courts were tried appropriately
The court of appeal will bring the case into higher court if either party are not satisfied with the result of the court. But the Decision that made by the Supreme courts are final
3. the answer is B. By overriding a Veto
Congress has the right to reverse the deicision if they managed to make mor than 2/3 of the Congress' member to agree. In this case, the president will be forced to change the decision even after using the veto right
4. The answer is B. Declaring war in war on another country
Declaring war on another country could only be done by Congress or The President. (In the Government, The president acted as the head of the executive branch of the Government)
5. The answer is C. Reserved Powers
Reserved powers allow the states to regulate several aspects of Government operations such as handling marriage, imposing states law, proposing a plan for infrastructure construction, etc