The second choice is correct. Given that angle 2 and angle 6 are congruent, the largest in each of the corresponding triangles are vertical angles meaning that two known angles are known in each triangle (and they are equal) which means that the last "unknown" (angles 3 and 7) are congruent. The lines DC and AB correspond with these defined, congruent triangles meaning they are parallel.
1/3 is the answer. Hope this helps
<h2>Answer :</h2>
- He need 111.75 minutes to cook the meal
- He need to start at 2.08.15 P.M. in order to complete the cooking at 4 P.M.
<h2>Step-by-step explanation :</h2><h3>
Known :</h3>
- George can only cook one thing at a time
- Turkey takes 90 minutes to cook
- Pumpkin pie takes 20 minutes to cook
- Rolls take 60 seconds to cook
- A cup of coffee takes 45 seconds to heat
<h3>Asked :</h3>
- Time needed to cook the meal
- Time he need to start in order to complete the cooking at 4 P.M.
<h3>Completion :</h3>
Let's convert all the seconds to minutes. We know that 60 seconds is equal to one minute. So,
60 seconds = 1 minutes
45 seconds = 45/60 minutes = 0.75 minutes
Time needed = Turkey + Pumpkin pie + Rolls + Coffee
Time needed = 90 + 20 + 1 + 0.75
Time needed = 111.75 minutes
Then, we'll calculate the time he need to start in order to complete the cooking at 4 P.M. First, let's convert the minutes to clock format.
111.75 minutes = 1 hour and 51.75 minutes
111.75 minutes = 1 hour and 51 minutes and 45 seconds
Lastly, calculate the time he need to start in order to complete the cooking at 4 P.M.
4h 0m 0s - 1h 51m 45s = 2h 8m 15s
<h3>Conclusion :</h3>
- He need 111.75 minutes to cook the meal
- He need to start at 2.08.15 P.M. in order to complete the cooking at 4 P.M.
If the bacteria is tripling every 10 minutes, that means the "rate of increase" on that period is 200%, so if say the current amount is "c", 200% of "c" is just 2c, so c + 2c is 3c, a tripled amount.
It’s 76 meters hoped it helped!