Lennox was curious if triangles \triangle ABE△ABEtriangle, A, B, E and \triangle DCE△DCEtriangle, D, C, E were similar, so she tried to map one figure onto the other using a reflection and a dilation. Lennox concluded: "It's not possible to map \triangle DCE△DCEtriangle, D, C, E onto \triangle ABE△ABEtriangle, A, B, E using a sequence of rigid transformations and dilations, so the triangles are not similar." What error did Lennox make in her conclusion?

Answer:  A  129

Step-by-step explanation:

Because the 2 chords are the same (lines in the circle), the 2 arcs are the same  create an equation that makes them equal

3x+24 = 4x -11             >bring x to one side by subtracting both sides by 3x

24 = x -11                     > add both sides by 11

35 = x

Now that we have solved for x you need to plug that back into the equation for BC

BC= 4x-11

BC = 4(35) - 11

BC =  140 - 11

BC = 129                   >A

Answer:

2/7

Step-by-step explanation:

All I did was just simplify the fraction 4/14

4/14=2/7

Answer:

x and x+2

Because the next consecutive odd number is 2 away from the nearest odd number.

Answer:

odd integers are 2 apart from each other (in between them is an even number)

x and x+2 is answer

Answer:

2.0986814e+29

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

punch your calculator to find out

even the calculator might not give u the exact value

When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

Answer:

[(15)(15) + 3] = 225

Step-by-step explanation:

Step-by-step explanation:

f(x)=-x²+8x

By replacing x with -7, we get

f(-7)=-(-7)²+8×(-7)

=-49-56

=-105

\(f(x) = { - x}^{2} + 8x \\ = > f( - 7) = - {( - 7)}^{2} + 8( - 7) \\ \: \: \: \: = - 49 - 56 \\ = - 105\)

Approximately 37.5% of the data are greater than 28, 33.3% of the data are less than 23, 91.7% of the data are greater than 17.5, and 62.5% of the data are between 17.5 and 28.

To answer the questions, we can analyze the given data set.

First, let's count the number of data points that satisfy each condition:

Greater than 28:

There are 9 data points greater than 28 (29, 29, 29, 30, 29, 29, 28, 28, 28).

Less than 23:

There are 8 data points less than 23 (20, 18, 15, 17, 17, 15, 17, 19).

Greater than 17.5:

There are 22 data points greater than 17.5.

Between 17.5 and 28:

There are 15 data points between 17.5 and 28.

Now, let's calculate the approximate percentage for each condition:

Percent greater than 28:

The total number of data points is 24. Approximately, 9 out of 24 data points are greater than 28.

Percentage =\((9 / 24) \times 100 = 37.5\)%.

Percent less than 23:

Approximately, 8 out of 24 data points are less than 23.

Percentage = \((8 / 24) \times 100 = 33.3\)%.

Percent greater than 17.5:

Approximately, 22 out of 24 data points are greater than 17.5.

Percentage = \((22 / 24) \times 100 = 91.7\)%.

Percent between 17.5 and 28:

Approximately, 15 out of 24 data points are between 17.5 and 28.

Percentage = \((15 / 24) \times 100 = 62.5\)%.

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Answer: 3 pounds

Step-by-step explanation: 12 - 4.50 = 7.50 7.50/2.50=3

Both the fox and the dog need to make 28 leaps before the fox is caught.

Given that,

The fox has a start of 60 leaps.

The fox can make 3 leaps to the dogs 2.

This means that for every 3 leaps taken by the fox, the dog will take 2.

The dog travels in only 3 leaps as far as the fox goes in 7.

This means that for every 3 leaps the dog takes, the fox takes 7 leaps.

Now, we have to find out how many leaps the fox and the dog need to make before the fox is caught.

Assume that the fox and the dog both sprint for "x" number of jumps before the fox is apprehended.

For the fox,

The total distance travelled would be ⇒  60 + 3x

(since the fox can make 3 leaps for every 2 leaps of the dog, and the fox starts with a 60-leap advantage).

For the dog,

The total distance travelled would be ⇒ 2x

(since the dog can make 2 leaps for every 3 leaps of the fox).

Now we know that the dog travels in only 3 leaps as far as the fox goes in 7,

Therefore,

3 leaps of the dog = 7 leaps of the fox

This can be expressed as:

2x = (60 + 3x)( 7/3 )

Simplifying this equation, we get:

2x = 140 + 7x

5x = 140

x = 28

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Answer:

Linette paide $14.45 and Sheila paid $12.84 in total that is $27.29.

Step-by-step explanation:

The total area of the figure is 528 square feet, which is closest to 440 square feet, so the answer is 440 ft2.

The five-sided figure is a trapezoid with two parallel sides, so we can use the formula for the area of a trapezoid to find the total area.

Area of a trapezoid = (sum of the lengths of the two parallel sides) / 2 * height

Let's call the length of the longer parallel side "L". Then the height of the figure is 22 feet, and the length of the shorter parallel side is 16 feet.

Area = (L + 16) / 2 * 22

We also know that the portion from the vertex to the perpendicular height is 8 feet, and the portion from a point to a vertical line created by two vertices is 4 feet. These two lengths form a right triangle, so we can use the Pythagorean theorem to find the length of the longer parallel side, L.

L² = (8 + 4)² = 64

L = 8

Now we can use the formula for the area of a trapezoid to find the total area.

Area = (L + 16) / 2 * 22 = (8 + 16) / 2 * 22 = 24 * 22 = 528

The total area of the figure is 528 square feet, which is closest to 440 square feet, so the answer is 440 ft2.

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Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

44 feet

Step-by-step explanation:

P = 10 + 12 + 10 + 12

P = 10(2) + 12(2)

P = 20 + 24

P = 44

Answer:

He need 120 linear feet.

Step-by-step explanation:

10 ft x 12 ft=....

And you should get 120

The total surface area of the cylinder is 157 square feet.

Given the radius of the cylinder = 4 inches

height of the cylinder = 9 inches

Total surface area is calculated by the formula:

A = 2πr² + 2πh

A = 2 × 3.14 × 4² + 2 × 3.14 × 9

or, A = 157 square feet.

Therefore the total surface area of the cylinder is 157 square feet.

The surface area of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves.

The definition of surface area for polyhedral (i.e., particles with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated.

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The required amount of the space available is 0.045 cubic meter.

We need to determine Space inside the steps.

The Volume is defined as the mass of object per unit density.

The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2

                                 =  0.06 - 0.015

                                 =    0.045 cubic meter

Hence, the required amount of the space available will be 0.045 cubic meter.

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Answer:

Given the value of x varies directly with the value of y means that x and y are proportional to each other, so y = kx.

We can easily solve for k by substituting in the given x and y values into y = kx:

y = 102

x = 17

y = kx

102 = k(17)

102/17 = k

k = 6

Answer:

4x^2+19x-47

Step-by-step explanation:

(4x^2+8x+15)+(x^2-x-27)-(x-5)(x-7)

=(4x^2+8x+15)+(x^2-x-27)-x^2+7x+5x-35

=(4x^2+x^2-x^2) + (8x-x+7x+5x) + (15-27-35)

= 4x^2+19x-47

Hope this helps!

The given expression after simplifying 4x^2+19x-47.

We have given the following expression

\((4x^2+8x+15)+(x^2-x-27)-(x-5)(x-7)\)

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

\(=(4x^2+8x+15)+(x^2-x-27)-x^2+7x+5x-35\)

\(=(4x^2+x^2-x^2) + (8x-x+7x+5x) + (15-27-35)\)

\(= 4x^2+19x-47\)

The given expression after simplifying 4x^2+19x-47.

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The simplified form of the given expression is, \(((\frac{4}{9} )^-^4)^-^3(\frac{4}{9})^-^5 = (\frac{4}{9} )^7\).

What is simplifying an expression?

To simplify an expression, create an equivalent expression without any terms that are similar. The expression will then be rewritten using the fewest terms possible.

Consider, the given expression,

\(((\frac{4}{9} )^-^4)^-^3(\frac{4}{9})^-^5\)

To simplify this using the exponent rule:

\(((a)^b)^c = a^b^.^c\)

⇒

\(((\frac{4}{9} )^-^4)^-^3(\frac{4}{9})^-^5 = (\frac{4}{9})^(^-^4^*^-^3)(\frac{4}{9})^-^5\\ ((\frac{4}{9} )^-^4)^-^3(\frac{4}{9})^-^5 = (\frac{4}{9})^1^2(\frac{4}{9} )^-^5\)

Now use the exponent rule:

\(a^ba^c = a^(^b^+^c^)\)

⇒

\(((\frac{4}{9} )^-^4)^-^3(\frac{4}{9})^-^5 = (\frac{4}{9} )^(^1^2^-^5^)\\((\frac{4}{9} )^-^4)^-^3(\frac{4}{9})^-^5 = (\frac{4}{9} )^7\)

Hence, the simplified form of the given expression is, \(((\frac{4}{9} )^-^4)^-^3(\frac{4}{9})^-^5 = (\frac{4}{9} )^7\).

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Answer:

Okay

Step-by-step explanation:

I'll see if I know the answer

The solution to the system of equations is x = 6 and  y = -5, which is the same as we obtained using the elimination method.

A system of equations is a collection of one or more equations that are considered together. The system can consist of linear or nonlinear equations and may have one or more variables. The solution to a system of equations is the set of values that satisfy all of the equations in the system simultaneously. The given system of equations is:

2x + y = 7 ---(1)

x + y = 1 ---(2)

To solve this system, we can use the method of elimination or substitution.

Method 1: Elimination

In this method, we eliminate one of the variables by adding or subtracting the two equations. To do this, we need to multiply one or both equations by a suitable constant so that the coefficients of one of the variables become equal in magnitude but opposite in sign.

Let's multiply equation (2) by -2, so that the coefficient of y in both equations becomes equal in magnitude but opposite in sign:

-2(x + y) = -2(1) --

Multiplying equation

(2) by -2-2x - 2y = -2

Now we can add the two equations (1) and (-2x - 2y = -2) to eliminate y:

2x + y = 7(-2x - 2y = -2)0x - y = 5

We now have a new equation in which y is isolated.

To solve for y, we can multiply both sides by -1:

-1(-y) = -1(5)y = -5

Now that we know y = -5, we can substitute this value into equation (2) to find x:x + y = 1x + (-5) = 1x = 6

Therefore, the solution to the system of equations is (x,y) = (6,-5).

Method 2: Substitution

In this method, we solve one of the equations for one variable in terms of the other variable and substitute this expression into the other equation to get an equation with only one variable.

From equation (2), we can solve for y in terms of x:y = 1 - x

We can then substitute this expression for y into equation (1):2x + y = 72x + (1 - x) = 7 --Substituting y = 1 - xx + 1 = 7x = 6

Now that we know x = 6, we can substitute this value into equation (2) to find y:x + y = 16 + y = 1 --Substituting x = 6y = -5

Therefore, the solution to the system of equations is (x,y) = (6,-5), which is the same as we obtained using the elimination method.

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Answer:23

Step-by-step explanation:

The measure of the top angle is 180 - 95 = 85 degrees

All angles of the inside of a triangle should equal 180 degrees

180 - 85 - 72 = 23 degrees

Answer:

30

Step-by-step explanation:

The way to figure out the average rate of change is to divide the change in f(x) and divide that by the change in x. A formula for this is \(\frac{f(x_{1})-f(x_{2})}{x_{1}-x_{2}}\)
1.) By this definition, we need to figure out our x1 and x2. We can say the x1 = 3 and x2 = 1
2.) Next, we plug it into the formula. We will get \(\frac{f(3)-f(1)}{3-1}\).

3.) If we simplify, we will get 10(2)^3 - 10*2 divided by 2, which is equal to 10*4 - 10 = 30.

Answer:

There are no expressions provided in the question.

Answer:

Yusuf walked 2.8 miles.

Step-by-step explanation:

r = 4 miles / hour

t = 0.7 hours.

d = r*t

d = 4 * 0.7

d = 2.8 miles

Answer:

x = (v - u) / a

Step-by-step explanation:

v = u + ax.

subtract u from both sides:

v - u = ax.

divide both sides by a:

(v - u) / a = x.

so x = (v - u) / a.

this can also be written v/a - u/a

The required number of pieces cut from 22 metal rods each 21 in are 242 pieces.

A mixed fraction is one that is represented by both its quotient and remainder. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

We have,

1(4/5) = 9/5 ,

So,

21/9/5

105/9

11(6/9)

Now,the waste is 6/9

Number of pieces are 11(22)

= 242 pieces

Thus, required number of pieces are 242.

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Answer:

At the value of x = 3 the function H(x) is undefined. (answer is 3)

Step-by-step explanation:

h (x) = 1/(x-5)2 + 4 (x-5) +4

Solution :

We know that for the values of x where denominator is zero the function H(x) is not define.

(x -5)2 +4 (x -5 ) +4 = 0

x2 -6x +9 =0

x2 - 3x - 3x +9 = 0

(x - 3)2 = 0

So x= 3

At x = 3 the function H(x) is undefined. (3 is your answer)

Answer: So, the sales tax on the item is $49.

Step-by-step explanation:

The sales tax rate is already given as 14%. It is stated that the item costs $350 before tax, and the sales tax rate is 14%. Therefore, the sales tax amount can be calculated by multiplying the cost of the item by the tax rate:

Sales tax amount = $350 * 14% = $350 * 0.14 = $49

So, the sales tax on the item is $49.