how many nonisomorphic spanning trees does each of these simple graphs have

Answer:

The man is 27 years old.

Step-by-step explanation:

You can create a system of equations.
Let x = the age of the man
Let y = the age of his son
You can create the following equations based on what was given in the problem:
1. x = y + 18
2. (x - 3) = 4(y - 3)
You can simplify the second equation:
x - 3 = 4y - 12
x = 4y - 9
Then, solve the system of equations:
x = y + 18
-
x = 4y - 9
____________
0 = -3x + 27
The son's age is 9, therefore the father is 27 years old.

Answer:

[tex]\frac{k+5}{k-2}[/tex]

Step-by-step explanation:

[tex]\frac{1-\frac{25}{k^2} }{1-\frac{7}{k}+\frac{10}{k^2} }[/tex]

multiply numerator and denominator by k² to eliminate fractions

= [tex]\frac{k^2-25}{k^2-7k+10}[/tex] ← factor numerator and denominator

------------------------------

k² - 25 ← is a difference of squares

= (k - 5)(k + 5)

k² - 7k + 10

= (k - 5)(k - 2)

------------------------------

= [tex]\frac{(k-5)(k+5)}{(k-5)(k-2)}[/tex] ← cancel (x - 5) on numerator / denominator

= [tex]\frac{k+5}{k-2}[/tex]

Answer:

38.667°

Step-by-step explanation:

the total sum of 3 angles in a triangle is 180

in triangle PQR this means:

P+Q+R = 180

so:

64+x+2x=180

64+3x=180

3x=116

x=116/3=38.667

So Q=X=38.667

The expression p+2 will denote the statement given

A variable is a unknown quantity in an equation , which is used to denote the parameter that needs to be determined.

It is given that

the total number of parrots in the jungle and the 2 parrots your neighbor owns

Let p be the total parrots in the jungle

p+2 will denote the statement given

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Answer:

A

Step-by-step explanation:

Set the equation equal to bx.

[tex](3x + 3)(ax - 2) - {x}^{2} + 6 = bx[/tex]

[tex]3a {x}^{2} - 6x + 3ax - 6 - {x}^{2} + 6 = bx[/tex]

Cancel out the constants

[tex]3 {ax}^{2} - 6x + 3ax - x {}^{2} = bx[/tex]

In order to cancel out the quadratics, we must solve for a.

[tex]3 {ax}^{2} - {x}^{2} = 0[/tex]

[tex]3 {ax}^{2} = {x}^{2} [/tex]

[tex]3a = 1[/tex]

[tex]a = \frac{1}{3} [/tex]

So plug in 1/3 for a.

[tex]3( \frac{1}{3} ) {x}^{2} - 6x + 3( \frac{1}{3} )x - {x}^{2} = bx[/tex]

[tex] - 6x + x = bx[/tex]

[tex] - 5x = bx[/tex]

[tex]b = - 5[/tex]

Step-by-step explanation:

Line L → 2x - 3y = 6

Where a = 2 and b = -3

• So, we can use this formula to find the gradient of Line L.

m = -a/b

m = -2/-3

m = 2/3 IS THE ANSWER

Answer:

gradient = 2/3

Step-by-step explanation:

Here is another way....manipulate the equation to y = mx+ b form

  where m = slope ( gradient)

2x - 3y = 6          add 3 y to both sides

6 + 3y = 2x         subtract 6 from both sides

3y = 2x - 6          divide by 3

y = 2/3 x - 2        gradient = 2/3

The value of cosine theta (cosθ) for the given triangle is determined as 4.58/5.

For a given sine value of a triangle, the remaining side length of the triangle can be calculated as follows;

sinθ = opp/hypo = 2/5

b² = 5² - 2²

b² = 21

b = 4.58

Value of cosine θ

Cosθ = adj/hypo

Cosθ = 4.58/5

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Answer:

false

Step-by-step explanation:

falswe

I don't understand your question

Answer:

1/

Step-by-step explanation:

There are 360 degrees in a circle. There are 40 people in this survey. Each person is 9 degrees, so 1 degree is 1/9 of a person.

Answer:

60

Step-by-step explanation:

4(5+4+6)

4(15)

60

Answer:

trapezoid

the horizontal side lengths wont touch each other if you extend them out

Answer: [tex]g(x) = 3^{x-6}[/tex]

Step-by-step explanation:

Think about it like doing

x - 6 = 0

x = 6

That is how you know that it will be shifted 6 units right (how you can tell the difference between right and left shift)

The slope of the line parallel to the line on the graph (0,-3) (5,-4) is - 1 / 5

Parallel lines have the same slope.

Therefore,

slope = m = y₂ - y₁ / x₂ - x₁

Therefore,

x₁ = 0

x₂ = 5

y₁ = -3

y₂ = -4

Therefore,

slope = -4 - (-3)  / 5 - 0

slope = -4 + 3 / 5

slope = - 1 / 5

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The statements that are true about the pyramid are

From the question, we are to determine the statements that are true about the pyramid

The diagram shows a square pyramid,

The length of a side of its base is 756 ft

and

The height / altitude of a triangular face is 612 ft

Since the pyramid is a square pyramid,

Then, the base must be a square with each side measuring 756 feet

∴ The first statement is true

Since the height of a triangular face is 612 ft,

Then,

∴ The slant height of the pyramid is 612 feet

NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face

Thus, the second statement is true

Since the triangular faces each have a base of 756ft and a height of 612 ft,

Then,

All four triangular faces are congruent

∴ The fourth statement is true

NOTE: Lateral sides of a solid are the faces on the sides of the shape

The pyramid has four lateral faces which are each a triangle

∴ The last statement is true

Hence, the statements that are true about the pyramid are

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Answer:

2

Step-by-step explanation:

lucky guess from my boi tony

The equation can be used to find the time it took student  to hike the trail will be 3t= 5(3-t)

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The formula for the distance for the to and fro motion is;

x= v × t

The total time required for to and fro motion is;

[tex]\rm t_1 + t_ 2 = 3 \\\\ \frac{x}{v_)1} +\frac{x}{v_2}=3 \\\\ \frac{x}{3} +\frac{x}{5}= 3 \\\\ x = \frac{45}{8} \\\\ x = 3 \times \frac{15}{8} \\\\\ x =v \times \frac{15}{8} \\\\ x = v \times t[/tex]

From the equation B;

3t= 5(3-t)

3t=15-5t

8t=15

t=15/8

The equation can be used to find the time it took Stu to hike the trail will be  3t= 5(3-t)

Hence option B is correct.

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Answer:

The number after - 2 is - 3.5.

Step-by-step explanation:

Follow the pattern

Let the number be  after -2

as in the question after 4 we have 2.5 then 1 and so on.

if we subtract 4 from 2.5 we get

2.5 - 4 = -1.5

similarly:  1 - 2.5 = -1.5

-0.5 - 1 = -1.5

and now

x -(-2) = - 1.5

x = - 1.5 -2

x = - 3.5

so the number after - 2 is - 3.5.

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Answer:

Given that A cereal manufacturer decides to offer a new family-sized box based on the regular-sized box. They want the volume of the family-sized box to be three times the volume of the regular-sized box. However, they want the length of the family-sized box to be the same as the regular-sized box.

If original dimensions are l,w and h then volume = lwh

Volume of new box is= 3lwh

But here w becomes 2w and l remains the same.  Let h' be the new height

Then we have

So by 1.5 factor height should be dilated.

Step-by-step explanation:

Answer:

The answer would be (0, 2/3) or (0, Two-thirds)

Answer:

0, 2/3

Step-by-step explanation:

The value of z is 119° and the value of y is 28°.

When two parallel lines meet any other line, comparable angles are generated in matching corners or corresponding corners with the transversal, these angles are called corresponding angles.

If the given diagram is modified a bit it will look as shown below, the two angles will be 61° because the two angles are corresponding angles.

Now, since 61° and x lie on the same side of the line, therefore, the sum of the two angles will be,

61° + x = 180°

x = 119°

Also, the angles measured at 61° and (3y-23)° lie on the same side of the transversal, therefore, these two angles are corresponding angles. Thus,

61° = (3y-23)°

61 = 3y - 23

y = 28

Hence, the value of z is 119° and the value of y is 28°.

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Answer:

Look down below and you will know the answer↓:

Step-by-step explanation:

He will have to work as between the range (of 20,0) and (0,20) points to earn more than $125.

So, What is inequality?

Inequality means is the relationship between two expressions that are not equal, so employing a sign such as ≠ “is not equal to,” > “greater than,” or < “less than.”.

Since then: Liam can work at most 20 hours a week, but he also needs to earn at least $125. His dog-walking job pays $7 per hour and his job as a car-wash attendant pays $11 dollars an hour. How can he earn $125.

He Let the Dog walking hours are represented by x and Car wash hours will be represented by y. The inequality will be formed as:

7x + 11y ≥ 125

x+y = 20

When we plot these two equations on the graph, we will get the range for the time from (20,0) and (0,20).

We Suppose that we will take a random point-like (5,15) when we put this value in the inequality, we get the total earning greater than $125.

7x + 11y ≥ 125

7 (5) + 11 ( 15 ) ≥ 125

35  + 165  ≥ 125

200 ≥ 125

Therefore, He has to work between the range (of 20,0) and (0,20) points to earn more than $125.

The equation of the ordered pairs (1, 4), (–1, 2), and (0, 3) is y = x + 3

The ordered pairs are given as:

(1, 4), (–1, 2), and (0, 3)

From the above ordered pairs, we can see that the difference between the x and y values is 3.

This means that:

y - x = 3

Add 3 to both sides

y = x + 3

Hence, the equation of the ordered pairs (1, 4), (–1, 2), and (0, 3) is y = x + 3

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It is called the y-coordinate

The point itself is called a coordinate, vertically, the vertical component of the coordinate is called the y-coordinate, while horizontally, the horizontal component of the coordinate is called the x-coordinate.

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The coordinates of point N are (3, 5).2 the answer is 2/1 but just write 2.

We have given that,

Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5)

Therefore we get,

2 the answer is 2/1 but just write 2.

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7.7278 g/ml is the most accurate density of the substance.

It is define as the quantity per unit volume, unit area, or unit length.

i.e. the mass of a substance per unit volume.

Mathematically,

[tex]\rho =\frac{m}{v}[/tex]       ----- equation  (1)

Where,

p is the density

m is the mass

v is the volume

According to the question,

Mass = 27.82 grams  

Volume = 3.6 ml

By substituting the Value of m and v in equation 1.

[tex]\rho =\frac{27.82}{3.6}[/tex]

[tex]\rho = 7.7277777 g/ml[/tex]

Therefore,

The most accurate density of the substance in g/ml is  7.7277777 g/ml.

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Transformation involves changing the position and size of a shape.

The true statements are:

The complete question is as follows:-

The composition do,0.75(x,y) ∘ do,2(x,y) is applied to △lmn to create △l''m''n''. which statements must be true regarding the two triangles? check all that apply. ∠m ≅ ∠m'' △lmn ~ △l''m''n'' △lmn ≅ △l''m''n'' the coordinates of vertex l'' are (-3, 1.5). the coordinates of vertex n'' are (3, -1.5). the coordinates of vertex m'' are (1.5, -1.5).

The process of changing the location of the image on the coordinate system will be known as the translation.

The coordinates of the triangle are:

L =(-1,2)

M = (-1,-1)

N = ( 2,-1)

The transformation rule is given as:

do 0.75 (x,y) 2 (x,y)

The transformation rule is a dilation by a factor of 0.75, and then a factor of 2.

Uniform dilation changes the size of a shape, but the angles remain unchanged. This means that:

∠l≅∠l''

∠m≅∠m''

∠n≅∠n''

Δlmn⇒Δl'm'n'

The above highlights mean that:

The angles of both triangles are congruent

The triangles are similar

Next, we apply the rule on the coordinates of the triangle

L'' = 0.75 x 2 x (-1,2)

L'' = ( -1.5,3)

M'' = 0.75 x 2 x (-1,-1)

M'' = ( -1.5 , -1.5)

N'' = 0.75 x 2 x (2,-1)

N'' = (3 , -1.5)

Hence, the true statements are: The coordinates of n" are.

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Answer:

Inequality Form:

b ≥ 1

Interval Notation:

[1,∞)

Step-by-step explanation:

Answer:

∠ AEC = 49°

Step-by-step explanation:

the sum of the angles in Δ ACE = 180° , that is

∠ AEC + 90° + 41° = 180°

∠ AEC + 131° = 180° ( subtract 131° from both sides )

∠ AEC = 49°

Answer:

49°

Step-by-step explanation:

<AEC = 180°_(41°+90°)

=180°_131°

<AEC= 49°

**90° (Complementary Angles)**

[And if u add: 41°+90°+49°= 180°]

{180° is the area of all triangles}

Hope I helped :)

Answer:

Step-by-step explanation:do i know u

Answer:

x= 5.8125

Step-by-step explanation:

Given: [tex]\frac{12x-7}{4} =\frac{5x+18}{3}[/tex]

Since we have one fraction equal to another fraction, we can cross multiply.

(12x -7)(3)= 4(5x +18)

Expand:

36x -21= 20x +72

Bring all the x terms to one side, constant to the other:

36x -20x= 72 +21

Simplify:

16x= 93

Divide both sides by 16:

[tex]x= \frac{93}{16}[/tex]

x= 5.8125

Additional:

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