Use SAS to explain why ΔABC ≅ ΔEDC

Answer:

Solution : 4 or more times

Step-by-step explanation:

As the inequality is given to us, it makes this a bit simpler.

3t + 10 ≥ 22 ( Subtract 10 on either side )

3t ≥ 12 ( Divide 3 on either side )

t ≥ 12 / 3 ≥ 4

And hence we have a solution of t ≥ 4. Elena will ride around the loop 4 or more times.

Answer:

31

Step-by-step explanation:

5×6=30+1=31.USE PLEASE EXCUSE MY DEAR AUNT SALLY

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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When you buy 2 chickens and 3 boxes of stuffing with a 20-pound note, you will get a change of 4 pounds.

Given that you have a 20-pound note and you buy 2 chickens and 3 boxes of stuffing, we need to determine the total amount spent on these items. Let's assume that the price of each chicken is 5 pounds and the price of each box of stuffing is 2 pounds.

Therefore, the total cost of 2 chickens and 3 boxes of stuffing is given by;Total cost = (2 x 5) + (3 x 2) = 10 + 6 = 16 poundsTherefore, the change that you will get from a 20-pound note is;Change = 20 - 16 = 4 pounds.it's important to note that the cost of 2 chickens and 3 boxes of stuffing is given by the total of the prices of each item

. Therefore, the cost of 2 chickens is given by 2 x 5 = 10 pounds, while the cost of 3 boxes of stuffing is given by 3 x 2 = 6 pounds. The total cost is obtained by adding the cost of chickens and stuffing;Total cost = 10 + 6 = 16 poundsGiven that the amount paid is 20 pounds, the change is obtained by subtracting the total cost from the amount paid. Therefore, the change is 20 - 16 = 4 pounds.

In conclusion, when you buy 2 chickens and 3 boxes of stuffing with a 20-pound note, you will get a change of 4 pounds. The total cost is obtained by adding the price of chickens and stuffing, while the change is obtained by subtracting the total cost from the amount paid.

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Answer:

Width: 6cm

Length: 14cm

Step-by-step explanation:

40 = 2(x+5) + 2(x-3)

40 = 2x+10+2x-6

40=4x+4

40-4=4x

36/4 = x

x = 9

Answer:

They will flash together at 36 seconds after 8:00 p.M which can be written as 8:00:36 PM.

Step-by-step explanation:

This question can be solved using concept of LCM

LCM is the least number which is divisible by all the set of given number.

LCM is found by finding the prime factors of given set of numbers and then taking the each numbers highest power and then multiplying all.

for example

lets find LCM of 20 and 75

prime factor of 20 = 2*2*5

prime factor of 75 = 3*5*5

highest power of 2 is 2*2 = 4

highest power of 3 is 3 = 3

highest power of 5 is 5*5 = 25

thus LCM is 4*3*25 = 300

Thus, 300 is the least number which will be commonly divisible by 20 and 75.

Now in the problem given One light flashes every 18 seconds and another light flashes every 12 seconds.

Thus, they will will flast together at time when the time will be commonly divisible by both 12 and 18.

to find that time, lets find the LCM of 12 and 18

The number is 12 , 18

prime factor of 12 = 2*2*3

prime factor of 18 = 2*3*3

highest power of 2 is 2*2 = 4

highest power of 3 is 3*3 = 9

thus LCM is 9*4 = 36

Thus, the lights will flash together after 36 seconds.

Given that they flash together at 8:00 p.M

They will flash together at 36 seconds after 8:00 p.M which can be written as 8:00:36 PM.

The ideal way to organize electronically the raw data for a study is to create a structured database or spreadsheet that can easily and efficiently store, sort, and analyze the data.

This will allow for easy retrieval and manipulation of the data, as well as the ability to perform statistical analysis and generate reports. It is important to ensure that the data is accurately recorded and labeled to prevent errors and ensure consistency. Additionally, proper data security measures should be in place to protect the confidentiality and integrity of the data.

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The ideal way to organize electronically the raw data for a study is to use a standardized format, such as a spreadsheet or database, with clear and consistent labeling for each variable.

It is important to ensure that the data is accurate, complete, and easily accessible, and to maintain appropriate security and privacy measures to protect the confidentiality of study participants. Additionally, it is recommended to create a data management plan outlining the procedures for data collection, storage, and sharing throughout the study. This plan should be reviewed and updated regularly to ensure that it remains effective and compliant with relevant regulations and ethical standards. The ideal way to organize electronically the raw data for a study is to use a structured and systematic approach, such as creating a well-designed database or spreadsheet. This allows for efficient data management, easy access, and accurate analysis.

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Answer:

Danny it 60 4 2 hours u save $12

Answer:

2x + 4

Step-by-step explanation:

I'm guessing there are no exact numbers

home = x + 4

school = x

x + x + 4

2x + 4

Answer:

b=100

Step-by-step explanation:

not sure how to solve for a

The vector space that has exactly one basis is the trivial vector space, which is the vector space containing only the zero vector.

A basis for a vector space is a set of linearly independent vectors that span the entire space. In a non-trivial vector space (a space that contains more than just the zero vector), there are infinitely many possible bases. This is because any set of linearly independent vectors that span the space can be used as a basis.

However, in the trivial vector space, there is only one vector (the zero vector), and it is linearly independent of itself. Therefore, the trivial vector space has exactly one basis, which is the set containing only the zero vector. Any other set of vectors in the trivial vector space is linearly dependent, and therefore cannot be used as a basis.

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The distance it will reach to  x, = 46.6 feet

acc to our question-

hence,The distance it will reach to  x, = 46.6 feet

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The number of quarters and dimes that Carol has will be 110 and 40, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

In the event that there are 70 additional quarters than dimes in the cash hymn as saved, the joined worth of her quarters and dimes is $31.50.

Let 'x' be the number of quarters and 'y' be the number of dimes. Then the equation is given as,

x = y + 70                               ...1

0.25x + 0.10y = 31.50             ...2

From equations 1 and 2, then we have

0.25(y + 70) + 0.10y = 31.50

0.35y = 14

y = 40

Then the number of dimes is calculated as,

x = 40 + 70

x = 110

The number of quarters and dimes that Carol has will be 110 and 40, respectively.

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Considering the scatter plot shown in the attached figure, there is a negative association.

The scatter plot shows a negative association.

Therefore the answer is (b) a negative.

A scatter plot is a graphical representation which shows the relationship between two variables, here it is variable x and variable y. It helps to understand the extent of correlation between the two variables.

We can observe that the scattered plot in the figure is a linear relationship as we can create a straight line in the graph with the given data.

The slope of the line thus created is negative as the value of y is decreasing with increase in y. So the association between variable x and variable y is negative.

--The question is incomplete, answering to the question below--

"Consider the scatter plot.

What type of association does it show?

Drag a word or phrase into the box to correctly complete the sentence.

The scatter plot shows _____ association.

a) a positive

b) a negative

c) no"

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Answer:

y= -2

x= 0

Explanation

0 - 2 = -2

-2 - (-2) = 0

Answer:

I believe the answer you're looking for is 2

Step-by-step explanation:

According to the box and whisker plot, using the percentile concept, it is found that Paul's team traveled 350 or fewer miles for 75% of their games.

When a measure is in the xth percentile of a data-set, it is greater than x% of the measures and lesser than (100 - x)%.

The box and whisker plot focuses on the interquartile range, hence, 200 miles is the 25th percentile, 300 miles is the mean, while 350 miles is the 75th percentile, which means that Paul's team traveled 350 or fewer miles for 75% of their games.

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Step-by-step explanation:

log_6^36+log_6^216

= log_6^ (36 × 216)

= log_6^ (6² × 6³)

= log_6^ (6^5)

= 5

Answer:

each friend would get 3/4 of an apple

Answer:

3/4

Step-by-step explanation:

Answer:

EF = 9.2

Step-by-step explanation:

Theorem:

The segment that has as endpoints the midpoints of two sides of a triangle is half the length of and parallel to the third side.

For triangle GEF, the endpoints of segment ZY are midpoints of sides GE and GF, so segment ZY is half the length of segment EF.

EF = 2ZY

EF = 2(4.6)

EF = 9.2

the height of the opening should be approximately 33.3 inches to accommodate the 56-inch diagonal TV with a 45-inch width.

We can use the Pythagorean theorem to find the height of the opening for the TV. The diagonal of the TV represents the hypotenuse of a right triangle, and the width and height of the opening represent the other two sides.

Let's call the height of the opening "h". Then, we have:

(diagonal)^2 = (width)^2 + (height)^2

Substituting the given values, we get:

(56)^2 = (45)^2 + h^2

Simplifying:

3136 = 2025 + h^2

h^2 = 1111

Taking the square root of both sides:

h ≈ 33.3 inches

what is  Pythagorean theorem?

The Pythagorean Theorem is a fundamental theorem in geometry that describes the relationship between the sides of a right triangle. It states that:

In a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs).

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Mr. Jones saved 1/5 of his wages, which is equivalent to (1/5) * $4800.00 = $960.00.

To calculate how much of his wages was spent, we subtract the amount saved from his total wages. Mr. Jones earned $4800.00 a week and saved $960.00, so the amount spent can be found by subtracting the savings from the total:

Amount spent = Total wages - Amount saved

= $4800.00 - $960.00

= $3840.00.

Therefore, Mr. Jones spent $3840.00 of his wages.

In this scenario, we are given Mr. Jones' weekly earnings of $4800.00. The question asks us to determine how much of his wages were spent, given that he saved 1/5 of his wages. To find the amount saved, we multiply his wages by 1/5, which results in $960.00. To find the amount spent, we subtract the amount saved from the total wages, resulting in $3840.00. This means that Mr. Jones spent $3840.00 of his wages, while the remaining $960.00 was saved.

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Answer:

D. 29 I just know the awnser sorry

To find the value of f(−2), we substitute −2 for x in the function f(x):

f(−2) = 4(-2)^2 − 3(-2) + 7

= 4(4) − 3(2) + 7

= 16 − 6 + 7

= 11

Therefore, f(−2) = 11.

Therefore, the sum of the first 1234 terms of this sequence is 1234.

To find the sum of the first 1234 terms of the sequence consisting of 1's separated by blocks of 2's with n 2's in the nth block, we need to determine the number of blocks and the number of 1's in each block.

Let's examine the pattern of the sequence:

Block 1: 2's

= 1's

= 1 (1 2)

Block 2: 2's

= 2's

= 22 (1 22 1)

Block 3: 2's

= 3's

= 222 (1 222 1)

Block 4: 2's

= 4's

= 2222 (1 2222 1)

...

We observe that the number of 2's in each block is equal to the number of the block itself. So, in the nth block, there are n 2's.

Now, let's calculate the number of blocks required to reach the 1234th term:

To find the number of blocks, we need to determine the maximum block number before the 1234th term. We can calculate this by finding the sum of the series 1 + 2 + 3 + ... + n until the sum is greater than or equal to 1234.

The formula for the sum of the series 1 + 2 + 3 + ... + n is given by: S = (n/2)(n+1).

Let's solve this equation:

(n/2)(n+1) = 1234

\(n^2 + n - 2468 = 0\)

Using the quadratic formula:

n = (-1 + √(1 + 4*2468)) / 2

n ≈ 61.76

Since n must be a whole number, we take the ceiling of n, which gives us 62.

Therefore, there are 62 blocks in the sequence.

Next, let's calculate the number of 1's in each block:

In the nth block, there are n 2's. Since each 2 is separated by a 1, there are n + 1 terms in each block.

So, the number of 1's in each block is (n + 1) - n = 1.

Since there is always one 1 between two consecutive blocks, the total number of 1's in the sequence is equal to the number of blocks, which is 62.

Finally, let's calculate the sum of the first 1234 terms:

Each block has n + 1 terms, which gives us (n + 1) + (n + 1) + ... + (n + 1) (62 times).

Sum of (n + 1) repeated 62 times = 62(n + 1)

= 62 * 2

= 124.

In addition to the blocks, we have 1234 - 62 = 1172 remaining terms, which are all 1's.

So, the sum of the first 1234 terms is 62 + 1172 = 1234.

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Step-by-step explanation:

Reorder

8

and

−

2

x

.

y

=

−

2

x

+

8

sorry if wrong

The solution to the differential equation D²y(t) + 12 Dy(t) + 36y(t) = 2 \(e^{(-5t)}\), with initial conditions y(0) = 1 and Dy(0) = 0, is \(y(t) = (1 + 6t) e^{(-6t)}\).

To solve the given differential equation using the classical method, we can assume a solution of the form \(y(t) = e^{(rt)}\) and find the values of r that satisfy the equation. We then use these values of r to construct the general solution.

Using the classical method:

Substitute the assumed solution \(y(t) = e^{(rt)}\) into the differential equation:

D²y(t) + 12 Dy(t) + 36y(t) = \(2 e^{(-5t)}\)

This gives the characteristic equation r² + 12r + 36 = 0.

Solve the characteristic equation for r by factoring or using the quadratic formula:

r² + 12r + 36 = (r + 6)(r + 6)

= 0

The repeated root is r = -6.

Since we have a repeated root, the general solution is y(t) = (c₁ + c₂t) \(e^{(-6t)}\)

Taking the first derivative, we get Dy(t) = c₂ \(e^{(-6t)}\)- 6(c₁ + c₂t) e^(-6t).\(e^{(-6t)}\)

Using the initial conditions y(0) = 1 and Dy(0) = 0, we can solve for c₁ and c₂:

y(0) = c₁ = 1

Dy(0) = c₂ - 6c₁ = 0

c₂ - 6(1) = 0

c₂ = 6

The particular solution is y(t) = (1 + 6t) e^(-6t).

Using the Laplace transform method:

Take the Laplace transform of both sides of the differential equation:

L{D²y(t)} + 12L{Dy(t)} + 36L{y(t)} = 2L{e^(-5t)}

s²Y(s) - sy(0) - Dy(0) + 12sY(s) - y(0) + 36Y(s) = 2/(s + 5)

Substitute the initial conditions y(0) = 1 and Dy(0) = 0:

s²Y(s) - s - 0 + 12sY(s) - 1 + 36Y(s) = 2/(s + 5)

Rearrange the equation and solve for Y(s):

(s² + 12s + 36)Y(s) = s + 1 + 2/(s + 5)

Y(s) = (s + 1 + 2/(s + 5))/(s² + 12s + 36)

Perform partial fraction decomposition on Y(s) and find the inverse Laplace transform to obtain y(t):

\(y(t) = L^{(-1)}{Y(s)}\)

Simplifying further, the solution is:

\(y(t) = (1 + 6t) e^{(-6t)\)

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Answer:

4 1/24

Step-by-step explanation:

1 2/3 +2 3/8 = 5/3 +2 3/8 = 5/3 + 19/8 = 97/ 24 =4 1/24

Answer:

4/3  cups/tsp

Step-by-step explanation:

You want  cups / tsp    =   2/5 c / 3/10 tsp =    2/5 * 10/3   c/tsp = 20/15 = 4/3

Step-by-step explanation:

when try ur best but u dont succeed....

lights will guide u home....and ignite u home...life will guid to FIX YOU.

Try finding the song name through these lines

If the price of gasoline has increased from $2.00 per gallon to $3.00 per gallon. how would this price change be represented on the demand curve is: a movement from one point on the line to a higher point on the line.

Demand curve can be defined as the curve that show price of goods and services produced as well as the quantity demanded for the goods produce at a particular period of time.

The  price change can be represented on the demand curve when price increase and this happen when the price of goods move from one point on a line to a higher point on the line

Therefore  how would this price change be represented on the demand curve is: a movement from one point on the line to a higher point on the line.

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