Step-by-step explanation:
since in a triangle each side must be shorter than the sum of the other 2 sides (otherwise the end points cannot connect, and there is no triangle), the necessary inequality condition must be
side < 1 + 2 = 3
so,
side < 3
for a lower limit let's go through the cases
1 < 2 + side (is always true)
2 < 1 + side
1 < side (side must be larger than 1)
and again
side < 1 + 2 = 3
side < 3
so the full restriction for the third side is
1 < side < 3
Answer:
b=9
x=5.5
Step-by-step explanation:
find the common ration
AB is 6, and XY is 3 (they are the corresponding sides)
ratio is 2 to 1 (6/3=2/1)
AC corresponds with YZ
XY is 4.5 so b is 4.5*2=9
ZY corresponds with CB
CB is 11, since XYZ is the smaller divide by 2 instead of multiplying by 2
12.) This does not follow the rule of conservation because on the reactant side there is one Na and two Cl while the product side only has one Na and Cl. They are not equal and do not have the same number of atoms for the different elements. In the law of conservation matter cannot be created or destroyed and this does not follow the law.
13.) 2Na + Cl2 —> 2NaCl
Put a 2 in front of Na and a 2 in front of NaCl
Answer: 17/18
In words, this is seventeen eighteenths
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Work Shown:
4/9 + 9/18
8/18 + 9/18 ... see note below
(8+9)/18
17/18
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note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.
The diagram below shows a visual representation of why 4/9 = 8/18.
In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.
Answer:
3
Step-by-step explanation:
the slope of a perpendicular line is the negative reciprocal of the original slope
a reciprocal is the inverse of a number, to find the reciprocal, just flip the numerator and denominator
in this cause, the slope is -1/3
the negative of it is 1/3 and the reciprocal is 3
therefore the slope of the perpendicular line is 3
