Answer:
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Step-by-step explanation:
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Make a proportion of corresponding sides
Side AU corresponds to Side AB
Side UV corresponds to Side BC
Find AB by adding AU and UB
AU = 20x + 108
UB = 273
AB = 20x + 381
Make proportion
AU/AB = UV/BC
20x + 108/ 20x + 381 = 444/ 703
Cross Multiply
(20x + 108)(703) = (20x + 381)(444)
14,060x + 75,924 = 8,880x + 169,164
Solve for x
14,060x + 75,924 = 8,880x + 169,164
I'm sure you can figure this out
Your answer is 8/5
If you plug it in, you get:
8/(2+3)
Add the 2 and 3 and you’ll get
8/5
Karl: k hours
Ryan: r hours
r+k=14 hrs
r = 2k-1 hrs
Then (2k-1) + k = 14 hours; 3k -1 = 14 hours; 3k = 15 hours; k = 5 hours.
Karl worked 5 hours; Ryan worked 2(5 hours) -1 hour = 9 hours.
When Kaira wrote 96 +12 as 12(8+1), she "factorized" 12, that is Karira found that 12 is a factor of both 96 and 12.
then she wrote 95+15=5(19+3), that is she factorized 5,
5 is a factor of both 95 and 15 because 95=5* 19 and 15=5*3
To use this method to calculate 38+11 we need 38 and 11 to have some common factor (different from 1),
but 11 is a prime number, that is, it has no factors except 1 and 11. We can only apply the method if 11 is a factor of 38, but it is not.
Answer: The method is called "factorization", and it cannot be applied to calculate 38+11
