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mel-nik [20]
4 years ago
6

(U2.04 LC)

Mathematics
1 answer:
Neko [114]4 years ago
6 0

Answer:

The value of x is 4.

Step-by-step explanation:

Given:

In ΔABC

m∠A = 10x+9

m∠B = 34°

m∠C = 97°

To Find:

x= ?

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

\angle A+\angle B+\angle C=180\\\\10x+9+34+97=180\\\therefore 10x=180-140=40\\\\\therefore x=\dfrac{40}{10}=4\\\\\therefore x=4

The value of x is 4.

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consider the followin polynomials equations a=3x2(x-1) b= -3x3+4x2-2x+1 . perform each operation and determine if the result is
Sedaia [141]

Answer:

All three operations lead to polynomials.

See explanations below.

Step-by-step explanation:

Polynomial a = 3x^2(x-1)=3x^3-3x^2

Polynomial b = -3x^3+4x^2-2x+1

Therefore:

a + b = 3x^3-3x^2+(-3x^3+4x^2-2x+1)=\\=3x^3-3x^2-3x^3+4x^2-2x+1=\\=x^2-2x+1

where we have combined all like terms. This is clearly another polynomial (of grade 2)

a - b (here we need to flip all signs inside the parenthesis when we remove this grouping symbol):3x^3-3x^2-(-3x^3+4x^2-2x+1)=\\3x^3-3x^2+3x^3-4x^2+2x-1=\\6x^3-7x^2+2x-1

which is clearly another polynomial (but of grade 3)

a * b : (here we use distributive property to multiply each term of the first polynomial by each term of the second one, and then combine like terms)

(3x^3-3x^2)*(-3x^3+4x^2-2x+1)=\\-9x^6+12x^5-6x^4+3x^3+9x^5-12x^4+6x^3-3x^2=\\-9x^6+21x^5-18x^4+9x^3-3x^2 which is indeed another polynomial (this time of grade 6)

5 0
4 years ago
I need help finding x
Charra [1.4K]

Answer:

x \degree =  {cos}^{ - 1} ( \frac{5.3}{7.9} ) \\   \:  \:  \:  \:  \:  \:  \:  = 47.864510547 \degree \\  \:  \:  \:  x = 47.86

7 0
4 years ago
Help me plz give the right awenser
gulaghasi [49]

Answer:11

Step-by-step explanation:

Not sire if i'm correct but, I'm pretty sure it's widthxlength.

7 0
3 years ago
Please help with the problem
worty [1.4K]

Answer:

95%

Step-by-step explanation:

0.6 of 40 is 24, she bought 24 green balloons.

24 × 1.5 = 36, she bought 36 yellow balloons.

So we have

40 red

24 green

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Then from the rest of the information, 2 red, 2 green, and 1 yellow balloon all popped.

We now have

38 red

22 green

35 yellow

for a total of:

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7 0
3 years ago
Name the characteristics a shape has to have to be defined as the following:
Artemon [7]

For a shape to be defined as a quadrilateral it has to have 4 sides.

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For a shape to be defined as a square it has to have 4 sides and angles. The angles must add up to 360° with equal side and angle length.

3 0
3 years ago
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