Which of the following is not a natural number? Select one:0 3 8 11

Step-by-step explanation:

1a) The perpendicular bisectors pass through the midpoints of the sides of the triangle and are perpendicular to the sides.  They are the red lines.

1b) The angle bisectors pass through the vertices of the triangle and divide the angle into two equal parts.  They are the black lines.

1c) The inscribed circle is the circle inside of the triangle.  It is the blue circle.

1d) The circumscribed circle is the circle outside of the triangle.  It is the green circle.

2a) The circumcenter is the center of the circumscribed circle.  It is point H.

2b) The incenter is the center of the inscribed circle.  It is point I.

Answer:

The sample is the 728 first run movies released in 2011

Step-by-step explanation:

Because this is a multiplication equation, and we need to find one of the factors, we divide.

So 35/3=y

35/3=11.6666667

or 11.67/11.7

Hope it helps!

Answer:

The sequence has common difference 3, and its general nth term can be written as:

[tex]a_n=3\,n-1[/tex]

Step-by-step explanation:

In order to define the sequence, we recall the formula for the nth term of an arithmetic sequence as:

[tex]a_n=a_1+(n-1)\,d[/tex]

where "d" is the common difference for the sequence (our unknown in this case), and the nth term is our fourth term (n = 4) which equals 11, and the first term is 2:

[tex]a_n=a_1+(n-1)\,d\\11=2+(4-1)\,d\\9=3\,d\\d=9/3\\d=3[/tex]

Therefore our sequence has common difference 3, and its general nth term can be written as:

[tex]a_n=2+(n-1)3\\a_n=3\,n-1[/tex]

Answer:

Hello your question is incomplete below is the complete question

Let R be a relation from A to B and S a relation from B to C.

(a) Prove that  . [tex]Dom(S \circ R) \subseteq Dom(R)[/tex]

(b) Find a counterexample to show that we don’t always have equality.

answer : (b) Dom ( S o R ) = [ 1 ] and Dom ( R ) = [ 1, ∝ ]

              hence: Dom ( S o R ) ≠ Dom ( R )

Step-by-step explanation:

Note : R ⊆ A * B and  S ⊆ B * C

A) To prove that [tex]Dom(S \circ R) \subseteq Dom(R)[/tex]

 we take note that : S o R ⊆ A x C

ATTACHED BELOW IS THE REMAINING PART OF THE SOLUTION

B) A counterexample to show that we don't always have equality

attached below is a assumptions and solution on how we arrived at the value below

Dom ( S o R ) = [ 1 ] and Dom ( R ) = [ 1, ∝ ]

hence: Dom ( S o R ) ≠ Dom ( R )

Answer:

[tex]x^3y^5[/tex]

Step-by-step explanation:

[tex]\frac{(x^3y^2)^2(xy^2)}{x^4y} = \frac{(x^6y^4)(xy^2)}{x^4y}=\frac{x^7y^6}{x^4y} =x^3y^5[/tex]

Here , the general rules followed are :-

i) [tex]x^m * x^n =x^m^+^n[/tex]

ii) [tex](x^my^n)^z = (x^m^z)(y^n^z)[/tex]

iii) [tex]\frac{x^my^n} {x^ay^b} = (x^m^-^a)(y^n^-^b)[/tex]

Answer:

2:7

Step-by-step explanation:

6:21 /3 = 2:7

Answer:

1212

Step-by-step explanation:

Answer:

4th option because the two negatives will become positive and the 3rd will make it negative again

Answer:

the last one which is D (D)

Answer:

[tex]-30x+2[/tex]

Step-by-step explanation:

[tex]-2(10x-1)-10x[/tex]

Use the distributive property:

[tex]-2(10x)-2(-1)-10x\\\\-20x+2-10x[/tex]

Combine like terms:

[tex]-20x-10x+2\\\\-30x+2[/tex]

:Done

Answer:

-30x+2

Step-by-step explanation:

1. Expand by distributing terms.

2. Remove parentheses.

3. Combine like terms

Answer:

The answer is below

Step-by-step explanation:

Let the budget be represented by B. Since the grouo has only $8,000, hence, the inequality can be represented as:

B ≤ $8000

Also, $3400 was spent on transportation. If other cost is represented by C, therefore, other cost is given as:

Other cost ≤ Budget - cost of transportation

C ≤ $8000 - $3400

C ≤ 4600

From above, to stay within the budget, all other costs must be below $4600

Answer: Less than.

Step-by-step explanation:

[tex]\sqrt{8}[/tex] is less than 4 because [tex]4^{2}[/tex] is 16. And [tex]\sqrt{8} ^{2}[/tex] is 8.

Answer:

It's an odd function.

Step-by-step explanation:

Answer:

a. f(x) is an odd function.

Step-by-step explanation:

Answer:

shhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

The answer: -5 ≤ y ≤ 6

The range is all the possible output or y values of the function.

Our first point is at (1, 6) and our second point is at (-4, -5)

That means our y values are 6 and -5. Let's set up a compound inequality to represent our function.

-5 ≤ y ≤ 6. This means that x is greater than or equal to -5 and less than or equal to 6.

Answer:

[tex]x=140[/tex]

Step-by-step explanation:

Do not get grounded.

An angle at a point is 360°.

So, [tex]x+120+70+30=360[/tex]

[tex]x+220=360[/tex]

[tex]x=140[/tex]

Remember this All the angles around a point when added gives a 360° !

Thus,

30+ X +70+120 = 360

=> X + 220 = 360

Answer: 5-10x

I really hope this helps you, I tried my best to explain it!

Answer:

(120,0)

Steps:

y-36=-1/3(x-12)

(0)-36=-1/3(x-12)

(-3)(-36)=x-12

108=x-12

120=x

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The point where Andrew stops is (120,0).

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The slope of the perpendicular line will be,

m × 3 = -1

m = -1/3

Substitute the point in the line,

y = -(1/3)x + C

36 = -(1/3)12 + C

36 = -4 +C

C = 40

Now, the equation of the perpendicular line will be,

y = -(1/3)x + 40

The point will be due east, therefore, the value of y = 0,

0 =  -(1/3)x + 40

-40 = -(1/3)x

x = 120

Hence, the point where Andrew stops is (120,0).

Learn more about Equation of Line:

https://brainly.com/question/21511618

#SPJ2

5 clipboards

4 sharpies times 5 boxes = 20 sharpies

25 total - 20 sharpies = 5

5 clipboards

Answer: x > -11/2

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Answer:

x>-11/2

I'm sorry, I did this all on paper and I don't really want to type it out. Please understand.

Hope this helps a little bit, though.

Answer:

the last option

Step-by-step explanation:

every other one adds up to be 10/12 but the last one is 15/10

Answer:

D) 5/12 + 4/12 + 3/12 + 2/12 + 1/12

Step-by-step explanation:

5/12 + 4/12 + 3/12 + 2/12 + 1/12 = 15/12

Answer:

Step-by-step explanation:

perp. 3/2

y - 2 = 3/2(x - 2)

y - 2 = 3/2x - 3

y = 3/2x - 1

Answer: 12 hours

Step-by-step explanation: 6 h = 360 min,9 h = 540 min, 12 h = 720 min

640-360=280 , 640-540=100 , 640-720=-80

Answer:

Step-by-step explanation:

(x+0)/2 = 4

x + 0 = 8

x = 8

(y+4)/2=6

y+4 = 12

y = 8

(8,8)

Given that:

Length of a rope = 224 cm

Rope is cut so that one part is 3/4 of the other.

Solution:

Let one part of a rope be x cm.

So other part of the rope is [tex]\dfrac{3}{4}x[/tex].

Total length [tex]=x+\dfrac{3}{4}x[/tex]

Now,

[tex]x+\dfrac{3}{4}x=224[/tex]

[tex]\dfrac{4x+3x}{4}=224[/tex]

Multiply both sides by 4.

[tex]7x=896[/tex]

Divide both sides by 7.

[tex]x=\dfrac{896}{7}[/tex]

[tex]x=128[/tex]

The value of one part 128 cm.

Second part [tex]=\dfrac{3}{4}x[/tex]

[tex]=\dfrac{3}{4}\times 128[/tex]

[tex]=3\times 32[/tex]

[tex]=96[/tex]

Therefore, the length of shorter rope is 96 cm and the length of longer rope is 128 cm.

Answer:

The probability is 0.081

Step-by-step explanation:

Here, we want to calculate the probability that the 3rd inspection will be defective.

What this means is that the first two would

not be defective.

Probability of having a defective DVD = 10% = 10/100 = 0.1

Probability of not having a defective DVD = 1 -0.1 = 0.9

So the probability of third being defective = Probability of first not defective * Probability of second not defective * Probability of third defective

= 0.9 * 0.9 * 0.1 = 0.081

Answer:

1463

Hi There!

Remember, when multiplying with decimals never forget to add the decimal!

Answer:

5

Step-by-step explanation:

Answer:

D.  x2 + x - 20.

Step-by-step explanation:

(x – 4)(x + 5).

= x(x + 5) -4(x + 5).

= x2 + 5x – 4x – 20.

= x2 + x - 20.

Answer:

4

Step-by-step explanation:

Yeah if you don't know this one... you're... special.