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ra1l [238]
4 years ago
11

What is the value of n? A. 59 B. 95 C. 23 D. 36

Mathematics
2 answers:
kotykmax [81]4 years ago
7 0

Answer:

B) 95 degrees

Step-by-step explanation:

So theirs a theorem saying that the sum of all exterior angles equals 360

so 121+144+n=360

121+144=265

265+n=360

subtract 265 from both sides

n=95

hope this helps!

Advocard [28]4 years ago
4 0

Answer:

B. 95 degrees

Step-by-step explanation:

So in this situation we have to find out the value of the angles in the triangle.

To start off we know that 121 is the value of the top outside angle, right.

And the line it is sitting on is flat.

So the angle on the other side should be able to add up with 121 and make 180 degrees.

So 180 minis 121 is 59 degrees.

Now for the other angle, let’s do 144.

So we know that the inside angle has to add up with the outside to make 180 so 180 minus 144 is 36.

Now we know that all the angles inside a triangle should add up it be 180.

So when adding 36 and 59 degrees we get 95.

So the inside angle in the left side has to add with 95 to be 180.

So 180 minus 95 is 85 degrees.

Now that we know the inside angle we have to find out the outside angle.

So we know that 85 has to add up with the outside angle to be 180.

So we do 180 minus 85 which gets us 95 degrees.

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3 years ago
Find the dimensions of a rectangle with perimeter 108 m whose area is as large as possible. (If both values are the same number,
V125BC [204]

Answer:

27 by 27

Step-by-step explanation:

Let the sides be x and y. The problem is essentially asking:

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We know that x+y=54. By the Arithmetic Mean - Geometric Mean inequality, we can see that \frac{x+y}{2} \ge \sqrt{xy. Substituting in x+y=54, we get 27\ge\sqrt{xy}, meaning that 729 \ge xy. Equality will only be obtained when x=y (in this case it will generate the maximum for xy), so setting x = y, we can see that x = y = 27. Hence, 27 is the answer you are looking for.

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