Answer:
Yes. m is parallel to n. Since the 2 angles labelled are equal, by alternate angles rule, m is parallel to n.
Step-by-step explanation:
This is a question on angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Hello again!
Answer is 60%
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so, for this one you first figure out how many study French.
2/9 of 270 is 60 (simple method: 1/9 is 270 divided by 9, which is 30. So 2/9 is 1/9 multiplied by 2, which is 60).
60 are doing French.
Then use this in the ratio of French to Spanish (3:7) and you have 3 and 60 on the same side. You have to multiply 3 by 20 to get to 60 (or divide 60 by 20 to get 3).
So the number you use to do the same to the other side of the ratio is 20.
7 multiplied by 20 (or 7 multiplied by 10, then multiply that by 2) to get 140.
140 are doing Spanish.
Then take the French and Spanish from the big total and you get 270-140-60=70
70 are doing German.
Of these 70, 42 are boys. 70-42 gives 28 girls. 42/70 is the fraction of boys doing German. This is the same as 6/10 and to get a percentage you multiply the fraction by 10 so that the bottom of it is out of 100 (so that’s 60/100).
And 60/100 is the same as 60%.
So your answer is 60%
If Jana wins the contest, she will get two movie tickets, and if she gets two movie tickets, she will take her mother to the movies.
If you think about this deductively, and if you have the knowledge of syllogisms, this won't be difficult to solve.
So, this is the conclusion:
If Jana wins the contest, then she will take her mother to the movies.
This is the conclusion given that if she wins the contest, she will get the tickets she needs to take her mother to the movies. Otherwise, that won't happen.
Two-hundred twelve point twenty nine
