Answer:
8 m, 17 m and 22 m
Step-by-step explanation:
The first side is x
The second is 1 more than twice the first = 2x + 1
The third is 2 less than 3 times the first = 3x - 2
Sum the 3 sides and equate to 47
x + 2x + 1 + 3x - 2 = 47, that is
6x - 1 = 47 ( add 1 to both sides )
6x = 48 ( divide both sides by 6 )
x = 8
Thus
side 1 = 8 m
side 2 = 2x + 1 = 2(8) + 1 = 16 + 1 = 17 m
side 3 = 3x - 2 = 3(8) - 2 = 24 - 2 = 22 m
Step-by-step explanation:
We can calculate the value of y by using the Euclidean theorem
y^2 = 20 × 4
y^2 = 80
y = 4√5
-2 is larger than -5
or
-2 is greater than -5
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a loss of 5 points is greater in magnitude than a loss of 2 points
meaning that the person who lost 5 points had a bigger loss (even though -5 is smaller than -2)
Another way to think of it: -5 is further away from 0, compared to the distance from -2 to 0. I recommend drawing a number line if you're having trouble visualizing it.
Answer:
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Step-by-step explanation: