Given: Line Segment AC ≅ Line Segment DC, ∠B≅∠D
Prove Line Segment AB ≅ Line Segment DE with a two-column proof

Answer:

2. 70

3. 70

4. 110

5. 110

6.70

7. 70

8. 110

Step-by-step explanation:

a straight line = 180 so 1+2 has to = 180 1+3 has to = 180 2+4 has to = 180 and so on

Answer:

The new values are as follows:

Mean: 134

Median: 129

Mode: 121

Range=45

Standard Deviation=3.6

Step-by-step explanation:

When a k real number is added to all the elements of the dataset, the new measures of center (mean, median, and mode) are simply found by adding the value k to the previous values. Thus

[tex]Mean_{new}=Mean_{old}+k[/tex]

Here [tex]Mean_{old}[/tex] is 109 and k is 25 thus

[tex]Mean_{new}=Mean_{old}+k\\Mean_{new}=109+25\\Mean_{new}=134[/tex]

Similarly

[tex]Median_{new}=Median_{old}+k[/tex]

Here [tex]Median_{old}[/tex] is 104 and k is 25 thus

[tex]Median_{new}=Median_{old}+k\\Median_{new}=104+25\\Median_{new}=129[/tex]

Also

[tex]Mode_{new}=Mode_{old}+k[/tex]

Here [tex]Mode_{old}[/tex] is 96 and k is 25 thus

[tex]Mode_{new}=Mode_{old}+k\\Mode_{new}=96+25\\Mode_{new}=121[/tex]

When a k real number is added to all the elements of the dataset, the new measures of variation (range and standard deviation) remain the same thus.

[tex]Range_{new}=Range_{old}\\Range_{new}=45[/tex]

Similarly

[tex]Standard\ Deviation_{new}=Standard\ Deviation_{old}\\Standard\ Deviation_{new}=3.6[/tex]

So the new values of mean, median, mode, range, and standard deviation are 134, 129, 121, 45, and 3.6 respectively.

Answer:

- (27n^3 - 12n - 1) over 3n

Step-by-step explanation:

Question:

Suppose you have a bag of colored plastic disks, and you choose one without looking. The probability the disk you choose is yellow is P(yellow)=5/25.

Write this probability as a decimal.

Use a word or phase to describe this probability

Answer:

[tex]P(yellow)=0.2[/tex]

Unlikely event

Step-by-step explanation:

Given

[tex]P(yellow)=\frac{5}{25}[/tex]

Solving (a): Express as decimal

[tex]P(yellow)=\frac{5}{25}[/tex]

As decimal, we have:

[tex]P(yellow)=0.2[/tex]

Solving (b): Description

Since the probability is closer to 0 than 1, we can say that the probability of picking a yellow is unlikely

Answer:

15/2 miles/hour

Step-by-step explanation:

this is the .answer in the pic

Answer:

1.255

Step-by-step explanation:

10^-1 equals 0.1

1÷8=0.125

so our greatest one is 1.255

Answer:

x > -1

Step-by-step explanation:

Move the constant to the right

-3x  6 -3

Subtract the numbers

-3x < 3

Divide both sides of the inequality by -3 and flip the inequality sign

x> -1

solution:

x > -1

Answer: Number of hot dogs sold = 65

number of soda sold = 116.

Step-by-step explanation:

Let the number of hot dogs sold be represented by x.

Since the number of hot dogs sold was 51 less than the number of sodas sold, then the number of soda sold will be: = x + 51

Since the addition of both hot dogs and soda equals 181, we can form this into an equation which will be:

= x + (x + 51) = 181

x + x + 51 = 181

2x + 51 = 181

2x = 181 - 51

2x = 130

x = 130/2

x = 65

Number of hot dogs sold = 65

Since number of soda sold equals:

= x + 51

= 65 + 51

= 116

Therefore, number of soda sold is 116.

Answer:

x=60°,120°

Step-by-step explanation:

4sinx=3cosecx

4sinx-3cosecx=0

4sinx-3/sinx=0

4sin²x-3=0

sin²x=3/4

sinx=√(3/4)

sinx=√3/2=sin60°,sin(180-60)

Answer:

sin(180-60) is the correct answer Hope it helps you have a great day keep smiling be happy stay safe

Answer:

6. The common mistake is believing that the 3/4 money is remaining.

Step-by-step explanation:

Since Xander spent 3/4 of the money, you would need to multily 24 dollars by  3/4 and find amount spent. This would be 18. Then subtract 24 -18 to get an answer of $6

Answer:

C.

Step-by-step explanation:

Answer: c 12.3

Step-by-step explanation:

Answer:

it's arithmetic.

Step-by-step explanation:

geometric sequence is when each term moves on by dividing or multiplying.

arithmetic sequence is basically addition and etc.

Answer:

about 28

Step-by-step explanation:

its actually 27.8125 but if we're estimating im assuming that means to round

Answer:

28 pints

Step-by-step explanation:

There are 28 pints in 445 fluid ounces .

Answer:

B. y = -2x + 8

Step-by-step explanation:

So the slope is the number that comes before the x, and if the slope is -2, that means the number before is -2, and it is.

And to know if it goes through (1, 6), put those numbers into the equation and see if they match up (x is the y-intercept)

6 = -2(1) + x

6 = -2 + x

x = 8

The one with both of these is B, which means B is the answer

Answer: 341.4286

Step-by-step explanation:

Answer:

1) Use two points to find the slope

Points from the graph

Find the slope:

Slope is 3, y-intercept is -1

The line is:

This is non-proportional as not passing through the origin (0, 0)

2) One point is sufficient to determine the slope as the line passes through the origin

Point (5, 2)

The slope is

Line is:

This is proportional

3)  is answered here: https://brainly.com/question/23004781

Answer:

3,850

Step-by-step explanation:

have a good day!!

Answer:

-27x - 41

Step-by-step explanation:

Answer attached

Hope it helps:)

Answer:

rule multiply of 4

Step-by-step explanation:

beacause 4×1=4

4×2=8

4×4=16

4×8=32

4×16=64

4×32=128

that's all I know

Answer:

I can't see the file. But I did something that sounded LIKE this. So try multiplying the parallel sides.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

RST = 90

90 - (22 + 41) = 27.

3x = 27

27/3 = 9

x = 9

Answer:

2000 meters

Step-by-step explanation:

From the above question

Total time = 15 minutes

Converting minutes to seconds

1 minute = 60 sec

15 minutes = x

Cross Multiply

x = 60 × 15 = 900 seconds

Hence, 900 seconds = Total time

Total time = Time to the marker + Time from the marker

From the question, we are given the Speed to the marker = 5 m/s

Speed from the marker = 4 m/s

Time = Distance/speed

Let the distance be represented by x

Hence:

x/4 + x/5 =900

Multiply all through equation by Lowest Common Denominator = 20

5x + 4x= 900×20

9x = 900 ×20

Divide both sides by 9

9x/9 = 900 × 20/9

x = 2000 meters

Therefore, the total distance to the marker = 2000 meters

Answer:

4 inches per hour

Step-by-step explanation:

7 x 4 = 28

Answer:

(100 + 25) / 5

125/5 = 25

18 x (32/16)

18 x 2 = 36

PEMDAS

parentheses, exponents, multiplication, division, addition, subtraction.

Answer:

c (3,11)

Step-by-step explanation:

Respuesta:

Motocicleta A = 0.082 litros por km

Motocicleta B = 0.089 litros por km

Explicación paso a paso:

Dado :

Consumo de gasolina de la motocicleta A y la motocicleta B por 100 km

Motocicleta A = 8.2 litros

Motocicleta B = 8,9 litros

Consumo por kilómetro:

Litros consumidos por 100 km / 100 km

Motocicleta A:

8.2 / 100 km

= 0,082 litros por km

Motocicleta B:

8,9 / 100 km

= 0,089 litros por km

Answer:

(-x,y)

Step-by-step explanation:

If it's positive and you flip it accross the y-axis, the x- coordinates become negative.

Answer:

25% chance

Step-by-step explanation:

There are 3 prime numbers on a 6-sided die so that means there is a 1/2 chance you roll a prime number. In order to calculate the probability of 2 or more events you multiply their probability which would be

1/2 * 1/2 = 1/4

So the chance of rolling a prime number on both rolls is a 1/4 chance or a 25% chance

The probability that she will roll a prime number both times is 0.25.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

Martha rolls a 6 sided number cube two times.

And the prime numbers in the cubes are {2, 3, 5}.

The probability that she will roll a prime number both times,

= 3/6 x 3/6

= 1/2 x 1/2

= 1/4

= 0.25

Therefore, 0.25 is the probability.

To learn more about the probability;

brainly.com/question/11234923

#SPJ2

Answer:

216 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area of a trapezoid = 1/2h([tex]b_{1} + b_{2}[/tex]) = 1/2(12)(14 + 22) = 6(36) =216 [tex]cm^{2}[/tex]

Question:

Use your understanding of rational functions to answer the following question about the relationship of concert profit P(x)=-25x^2+875x-4750 to concert operating expenses c(x)=4750-125x.

Write an algebraic rule for the function T(x), which gives the ratio of profit to operating expenses, that is, the number of dollars earned for every dollar spent by the concert promoters.

Answer:

[tex]T(x) = \frac{x^2-35x+190}{5x-190}[/tex]

Step-by-step explanation:

Given

[tex]P(x)=-25x^2+875x-4750[/tex] --- concert profit

[tex]c(x)=4750-125x.[/tex] --- concert operating exercise

Solving (a): An expression for T(x)

T(x) is the ratio of P(x) to c(x)

So:

[tex]T(x) = \frac{P(x)}{c(x)}[/tex]

[tex]T(x) = \frac{-25x^2+875x-4750}{4750-125x}[/tex]

Factorize

[tex]T(x) = \frac{-25(x^2-35x+190)}{-25(-190+5x)}[/tex]

[tex]T(x) = \frac{x^2-35x+190}{-190+5x}[/tex]

Rewrite as:

[tex]T(x) = \frac{x^2-35x+190}{5x-190}[/tex]