When a triangle is rotated, it must be rotated through a center of rotation.
Assume the coordinate of LMN is



The rule of 180-degree rotation is:

So, we have:



See attachment for the graphs of LMN and L'M'N
<u>(a) Describe the transformation</u>
When triangle LMN is rotated 180 degrees across the origin, the x and y coordinates of LMN are negated to form triangle L'M'N'
<u>(b) Lines LL' and MM'</u>
The distance between point L and the center of origin is the same as the distance between point M' and the center of origin
Similarly, the distance between point L and the center of origin is the same as the distance between point M' and the center of origin
<u>(c) Line NN'</u>
Line NN' will assume the same characteristics as lines LL' and MM'
Read more about transformations at:
brainly.com/question/11707700
The answer is a
-hope this helped-
Answer:
3 : 1
Step-by-step explanation:
A jewellery shop sells 240 necklaces in a month 180 of the necklaces were sold via the shop website work out the simplest form. The rest were sold in a High Street shop.
Work out the ratio of online sales to shop sales.
Give your answer in its simplest form.
Necklace sold in the shop = 240 - 180 = 60
180 : 60
to convert to simplest form, divide both numbers by 60
3 : 1
Answer: 9 1/3 - 2/3 = 8 2/3 .
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Note: If the answer were "8 1/3" ;
then: "8 1/3 + 2/3 =? 9 1/3 ? "
→ "8 1/3 + 2/3 = 8 3/3 = 8 + 1 = 9 = only "9" ;
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So the answer has to be MORE than "8 1/3"
Try "8 2/3" → "8 2/3 + 2/3 =? 9 1/3?" ?? ;
→ "8 2/3 + 2/3 = 8 4/3 = 8 + 1 1/3 = 9 1/3 " → Yes!
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So, the answer is: "8 2/3" .
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Another method:
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Given the problem: "<span>9 1/3 - 2/3 " ;
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Note that: "2/3 = 1/3 + 1/3"
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So, "</span><span>9 1/3 - 2/3 = 9 1/3 - (1/3 + 1/3) = 9 1/3 - 1/3 - 1/3 = ?
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Start with: "</span>9 1/3 - 2/3" = 9. Then 9 - 1/3 = 8 3/3 - 1/3 = 8 2/3.
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</span>Another method:
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Given the problem:
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"9 1/3 - 2/3 = ?? " ;
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Convert "9 1/3" into "28/3" ; ("3*9 = 27"); ("27+1=28");
(The "3" comes from the "3" in the: "1/3" portion.)
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So, we rewrite as:
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28/3 - 2/3 = (28 - 2) / 3 = 26/3 ; or, 8 2/3 .
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Ok so to simplify 32^3/5, you will need to know the steps, so I'll tell u the step by step solution. ;D
So Step 1: You have to <span>Raise 32 to the 3rd power:
</span><span><span>1.1 </span> 32 = 2</span>⁵
(32)³ = (2⁵)³ = 2¹⁵
<span>the equation has ended on step 1, so now is:
</span><span> 2</span>¹⁵
<span>------
5
</span>
Now step 2:
Simplify it
(you can't simplify this equation but these is the steps you gotta do on other equations so I'm just giving an example.)
2¹⁵
------
5
So basically your final result is:
2¹⁵
------
5
=====End=====
Hope you understand it :D
-Skylor/Crystal