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SVEN [57.7K]
3 years ago
8

Common Tangents and AAA theorems

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0
You know from similar triangles that ...
  KM/KO = LM/LN
  (20 +x)/12 = x/8
Multiplying by 24, we get
  2(20 +x) = 3x
  40 +2x = 3x
Subtracting 2x, we get
  40 = x . . . . . . . . . . the measure of LM

The Pythagorean theorem tells us
  (LN)² +(NM)² = (LM)²
Substituting known values, this becomes
  8² +(NM)² = 40²
  (NM)² = 40² -8² = 1600 -64 = 1536
Then the measure of NM is ...
  NM = √1536 ≈ 39.19

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Add the following polynomials, then place the answer in the proper location on the grid. Write answer in descending powers of x.
CaHeK987 [17]

Answer:

-x^5+3x^4+16x^3+7x^2-3x+6

Step-by-step explanation:

Given polynomials are:

x^5-4x^4+7x^3+8, 9x^3+7x^2-10 and -2x^5+7x^4-3x+8

Now we need to add the given polynomials, then place the answer in the proper location on the grid. Also we need to write answer in descending powers of x.

So let's add them by combining like terms:

x^5-4x^4+7x^3+8+9x^3+7x^2-10-2x^5+7x^4-3x+8

-x^5+3x^4+16x^3+7x^2-3x+6

Hence final answer in descending order is -x^5+3x^4+16x^3+7x^2-3x+6

6 0
2 years ago
4 times a number is greater than -48.what are the possible values for the number ?
Keith_Richards [23]

The answer might be - 12

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7 0
3 years ago
Explain why x squared -8x+20 is always positive
Tpy6a [65]

Answer:

to square a number you multiply the number by itself.

a positive number times a positive number is a positive number.

a negative number times a negative number is a negative number.

and if you are multiplying 2 numbers with the same sign they will always be a positive number.

3 0
2 years ago
Which expression best estimates Negative 18 and one-fourth divided by 2 and two-thirds?
Mars2501 [29]

Answer:

-18/3

Step-by-step explanation:

5 0
3 years ago
Henry is saving money to buy a game. so far he has saved $12 , which is three-fourths of the total cost of the game. how much do
vazorg [7]
Henry has 3 / 4 0f total cost so,
Let ( a ) is total cost of game

So,
3/4 × a = total cost


12 = 3/ 4 × a

4 will multiply with 12 so,

12 x 4 = 3 a

48 = 3a

48 / 3= a

16 = a will be price of game


Mark as brainliest

5 0
3 years ago
Read 2 more answers
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