Answer:
Yes, it is proportional.
Proportions Explained:
Draw 2 triangles, triangle ABC and triangle DEF. Label any 2 sides of triangle ABC as measuring 18" and 4". Label the 2 corresponding sides of triangle DEF as measuring 72" and 16".
When you see if 18/72 and 4/16 are proportional, you are seeing if triangle ABC and triangle DEF are similar. One way to do it is with proportions, which is the way we are doing it. When making proportions, you want to put corresponding sides into the same fraction. For example, let's say you labeled side AB as 18" and side BC as 4". In triangle DEF, let's say you labeled side DE as 72" and side EF as 16". When making proportions, you want to put the corresponding side lengths (AB and DE) into the same fraction. Second fraction, same way. Just remember that the second fraction has to correspond with the first fraction. If you put the side length of triangle ABC on top and the side length of triangle DEF on bottom, you need to do the same for the second fraction.
But, they did the previous steps and want you to do the rest:
Now you have two fractions: AB/DE and BC/EF, or 18/72 and 4/16. Fully reduce each fraction, and if they come out to the same fully reduced fraction, they are proportional and the two triangles are similar. 18/72 reduces to 1/4 and 4/16 reduced to 1/4. 1/4=1/4, so the final answer is yes.
Answer:
If John’s great-grandfather was killed as a child, John would not have been born. John would not have been able to travel back in time to take his great-grandfather to the circus. So his grandfather would not have been killed. If his grandfather had not been killed, John would have been born and could travel through time.
Answer:
The quote: “Political victory, increasing profits, recovering from magic, meeting old friends, or a number of other happy events, inspire you and make you think that these good days are prepared for you. Do not believe. Nothing can bring peace except firm principles”
Explanation:
These lines state precisely the human condition and their opinions about luck. But Emerson believes that happiness grows from within man himself. Man is not predestined to be hostage to various events of life forever, he is able to escape or even do more than that. When good things happen, we attribute it to our good fortune, even though good things only come when you're being true to yourself. In my opinion, we have to behave as we really are. When good things come, it comes becomes we held into our firm principles. Just like Emerson said, we do not have to be someone else’s wants.
