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2 answers:
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Answer:
x=70
Step-by-step explanation:
If we extend the lines we can create an imaginary angle that is directly vertically opposite angle x (see picture for visualisation).
Then, using the rule that alternate interior angles are equal, we can deduct that this new angle is 30+40=70 degrees.
Finally, we know that vertically opposite angles are also equal meaning that x=70 degrees.
Hope this helped!
Answer:
8 loaves
Step-by-step explanation:
Possible english translation:
Find the largest number of children among whom 32.48 and 56 loaves can be distributed simultaneously, so that in either case each receives the same amount. How many loaves will each child receive?
<u>Solution:</u>
The max amount each one will receive from either 32, 48, or 56 loaves would basically be the HCF (highest common factor) of the 3 numbers.
To get HCF of the 3 numbers given, we follow the rule below:
- Get prime factorization of each number (express the number as product of primes by dividing
- Then we take the smallest power of shared factor
We show this below:
32/2 = 16/2 = 8/2 = 4/2 = 2
So,
32 =
48/2 = 24/2 = 12/2 =6/2 = 3
So,
48 =
56/2 = 28/2 = 14/2 = 7
56 =
Common factor is only "2" (in all 3 numbers) and the lowest powered one is 2^3, so the <u>HCF is 8</u>