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nikklg [1K]
3 years ago
12

LM = 9, NR = 16, SR = 8. Find the perimeter of triangle LRN.

Mathematics
1 answer:
sweet [91]3 years ago
3 0
<h2>D. 50 units</h2>

Hi, I’m Lena and I will be answering your question to the best of my ability. If you have any further questions after my answer, do not hesitate to ask me! ツ

♡ Let’s look at the main important thing(s) that will lead you in the correct path.

♥ The perimeter is the outside, it is <em>around</em> the figure. When you see those inner triangles, do not pay attention to them! They are just there to make your overthink the question.

♡ Let's solve!

♥ To begin, let's take LM. It already gives you half the segment, so all you need to do is double the number. 9*2=18.

♥ Now, let's take a look at NR. They already give you the segment as a whole, so you do not need to worry about it!

♥ Look at SR. You do the same thing as you did to LM, double the number. 8*2=16.

Now, we add all the numbers to get our final answer.

18+16+16=50.

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Step-by-step explanation:

When we throw a die , Total outcomes =6

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Favorable outcomes : When the upturned faces of the three dice are all of different numbers i.e. no repetition of numbers allowed

By Permutations , the number of favorable outcomes = ^6P_3=\dfrac{6!}{(6-3)!}=\dfrac{6!}{3!}=6\times5\times4=120

The probability that the upturned faces of the three dice are all of different numbers = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

=\dfrac{120}{216}=\dfrac{5}{9}

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