Use the geometric mean for right triangles here. Like this

. Cross multiply to get

, and

. That simplifies down to

. Pull out the 9 as a perfect square of 3 and you're left with

, first choice above.
Yes, most definitely
I hope that this helps!
According to the Scientific Method (the scientific process you use to go about figuring out the answer to a question) is:
1. Ask a Question
2. Do Background Research
3. Construct a Hypothesis
4. Test Your Hypothesis by Doing an Experiment
5. Analyze Your Data and Draw a Conclusion
6. Communicate Your Results
Answer:
The answer is 27
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(3y+6+3)=196−16
(2)(3y)+(2)(6)+(2)(3)=196+−16(Distribute)
6y+12+6=196+−16
(6y)+(12+6)=(196+−16)(Combine Like Terms)
6y+18=180
6y+18=180
Step 2: Subtract 18 from both sides.
6y+18−18=180−18
6y=162
Step 3: Divide both sides by 6.
6y
/6
=
162
/6
y=27
Answer:
The vehicle can travel 12 miles per gallon of gas.
Step-by-step explanation:
- The number of gallons used by a vehicle = 1 1/8 gallons
i.e.
gallons
- The number of miles traveled by a vehicle = 13 1/2 miles
i.e.
miles
Thus,
Total Gallons =9/8 gallons
Total Distance in miles = 27/2 miles
Hence:
Unit Rate = [27/2 miles] / [9/8 gallons]
= 12 miles per gallons ∵ 
Therefore, the vehicle can travel 12 miles per gallon of gas.