Answer:
3 - x ≥ 9
Step-by-step explanation:
At least in inequality means greater than or equal to (≥)
Difference in mathematics means subtraction
The difference between a number x and 3
3 - x
is at least nine
3 - x ≥ 9
The inequality for the sentence is
3 - x ≥ 9
Let's go through the choices one by one
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Choice A
If all sides are congruent, then this figure is a rhombus (by definition). If all angles are congruent, then we have a rectangle. Combine the properties of a rhombus with the properties of a rectangle and we have a square.
In terms of "algebra", you can think
rhombus+rectangle = square
Or you can draw out a venn diagram. One circle represents the set of all rhombuses; another circle represents the set of all rectangles. The overlapping region is the set of all squares. The overlapping region is inside both circles at the same time.
So we can rule out choice A. This guarantees we have a square when we want something that isn't a guarantee.
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Choice B
If we had a parallelogram with perpendicular diagonals, then we can prove that we have a rhombus (all four sides congruent). However, we don't know anything about the four angles of this parallelogram. Are they congruent? We don't know. So we can't prove this figure is a rectangle. The best we can say is that it's a rhombus. It may or may not be a rectangle. There isn't enough info about the rectangle & square part.
This is why choice B is the answer. We have some info, but not enough to be guaranteed everytime.
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Choice C
This is a repeat of choice A. Having "all right angles" is the same as saying "all angles congruent". This is because "right angle" is the same as saying "90 degrees". So we can rule out choice C for identical reasons as we did with choice A.
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Choice D
As mentioned before in choice A, if we know that a quadrilateral is a rectangle and a rhombus at the same time, then the figure is also a square. This is always true, so we are guaranteed to have a square. We can cross choice D off the list.
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Once again, the final answer is choice B
Answer:
A. 2/3
Step-by-step explanation:
There are 12 tiles in total, and 8 tiles with numbers that are greater than 4.
Express this as a fraction:
8/12
Simplify:
2/3
Hope this helps
Answer: £5
Step-by-step explanation:
Bole sold the article for 125% while he bought it for 100%.
Bole sold for £7.50 so £7.50=125%
£7.50/1.25=£6
125%/1.25=100%
£6=100% (the cost Bole bought the article with from Iluguru)
Iluguru sold it at 120% so 120% is £6
To find 100% we divide by 1.2
£6/1.2=£5
Iluguru bought article for £5 originally
Exact form: x=7/6
Decimal form: x=1.16
Mixed number form: x=1 1/6
