Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Step-by-step explanation:

What is the slope of the line that passes through the two points? (-3, 2) and (-1, 9)

1.

A line passes through the points (–3, 1) and (–1, 9).

A.

-4

B.

-1/4

C.

4

D.

1/4

Option C is the correct option for the given problem; let’s consider all options and identify the different reasons in the number list.

From the second element (index 1) through the last element, this procedure iterates through the list of numbers using a for loop. It determines whether the current number is lower than the previous number after each repetition. If it is, the process gives a prompt False response, meaning that the list is not growing.

The procedure returns True, indicating that the list is growing, if the for loop concludes without running into a number that is less than the number it encountered before.

According to the issue definition, this technique implies the list has at least two elements. This guarantees that the for loop will always have a previous number to compare to.

Comments are written in italic to explain the code

Line 1: PROCEDURE Is Increasing(numberList)//start Is Increasing procedure with a list number List

Line 2: {//start procedure

Line 3: count<-2//set count to be 2

Line 4: REPEAT UNTIL (count -> LENGTH(numberList)//repeat from element 2 to last

Line 5: {//start repeat

Line 6: IF(numberList[count] < numberList[count-1]//if previous number is greater

Line 7: {//start if

Line 8: RETURN(true)//return true as next is greater than

Line 9: }//end if

Line 10: count<- count +1//increment to next element

Line 11: }//end repeat

Line 12: RETURN (false)//return false

Line 13: }//end procedure

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Complete question is:

A list of numbers is considered increasing if each value after the first is greater than or equal to the preceding value. The following procedure is intended to return true if numberList is increasing and return false otherwise. Assume that numberList contains at least two elements. PROCEDURE isIncreasing(numberList) Tue 61 Line 1: Line 2: { Line 3: count 2 Line 4: REPEAT UNTIL(count > LENGTH(numberList)) Line 5: } IF(numberList[count] < numberList[count - 1]) Line 6: Line 7: To entd Line 8: RETURN(true) :80 onij { count count + 1 Line 9: Line 10: er onil Line 11: } Line 12: RETURN(false) BELAS(ConuE) Line 13: } Which of the following changes is needed for the program to work as intended? Lines 8 and 12 should be interchanged. c. In line 6, < should be changed to >=. a. b. Lines 10 and 11 should be interchanged. d. In line 3, 2 should be changed to 1. 3.

Answer:

158 km 1528 liters of patrol

Answer:

11.09

Step-by-step explanation:

12.43 km ÷ 1.12 liters = 11.09

Answer:

Les trois nombres sont 5, 6 et 7.

Step-by-step explanation:

Soit x le premier nombre.

x + 1 sera le second et x + 2 sera le troisième.

On pose l'équation :

2x + 3(x + 1) = 4(x + 2)

2x + 3x + 3 = 4x + 8

5x - 4x = 8 - 3

x = 5

The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

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The interpretation of the standard error of the mean is the amount of time it takes for students taking this statistics class to complete this multiple-choice assessment item would vary by 0.27 minutes.

The sample mean duration of time required to complete this question would normally deviate from the population mean by roughly 0.27 minutes if we randomly sampled a large number of students enrolled in this statistics course.

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The probability that a randomly selected month's number of order is more than 150 is 0.13%

Given, shawn finds that the monthly number of take-out orders at a restaurant is normally distributed with mean 132 and standard deviation 6.

⇒ mean = 132

⇒ standard deviation = 6

Analysis:

Set the monthly number of take out order as x.

From the question, we know:

P(x > 150) = P(x-132/ > 150-132/6)

= P(x=132/6 > 3)

= 1 - P(x-132/6 ≤ 3)

≈ 1 - 0.9987 {standard normal distribution table}

≈ 0.0013

= 0.13%

Hence we get the probability as 0.13%.

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Applying the knowledge of algebraic equations, we have:

21. x = -5

23. x = -2

24. 35, 37, 39

27. W = V/LH

28.  B = (A - PH)/2

In algebra, to solve for any variable, we have to make the variable the subject of the formula by isolating the variable to one side of the algebraic equation.

21. Let the unknown number = x. The algebraic equation that would be used to find x is:

x - 6 = -11

Solve for x

x = -11 + 6

x = -5

23. Let the unknown number = x. Thus, the algebraic equation to be created to find x would be:

5x - 1 = -11

Solve for x

5x = -11 + 1

5x = -10

x = -10/5

x = -2

24. Odd numbers cannot be divided by 2 without a remainder, so, the consecutive odd numbers that have a sum of 111 are: 35, 37, 39

27. V = LWH

Solve for W

V/LH = W

W = V/LH

28.  A = PH + 2B

Solve for B in the equation

A - PH = PH + 2B - PH

A - PH = 2B

Divide both sides by 2

(A - PH)/2 = B

B = (A - PH)/2

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Answer:

21:x=17

23:x=-2

24:35,37,39

27:V/LH

28:B=(A-PH)/2

Step-by-step explanation:

21: To find the difference between 6 and -11, you can do 6-(-11). Since the two negatives cancel out into positive, it will become 6+11 which is 17.

23: So we know that -11 is 1 added to 5 times a number. Let's just use x for the number. So we have 5x+(-1)=-11 or 5x -1=-11. So we move the negative 1 to the other side and make the sign in front of it a positive. It would look like this: 5x=-11+1, which is also 5x=-10, so x=10/5 or -2.

24: You first do 111/3 which is 37. Then on the left side, you take away to from 37 since it wants it to be odd, and on the right side, you add 2 to get 39. So, it will look like: 35,37,39.

27: V=LWH, W=V/LH.

28: A - PH = PH + 2B - PH, A - PH = 2B, (A - PH)/2 = 2B/2, B = (A - PH)/2.

Answer:

374 mi squared

Step-by-step explanation:

To find the area of the entire figure, we have to split it into parts where it is easier to calculate the area and then add them all together.

Let's start at the top. We can see on the left the length is 6 mi, and below it the length is 11 mi.

Unfortunately, the 11 mi is only part of that top part. But we see at the bottom the length 14 mi.

Above that 14 mi, we can see that half of it is 7 mi.

That means the other half has to be 7 mi.

So now we have the rest of the length at the top.

11 + 7 = 18

So, to find the area at the top part we multiply 6 by 18

6 x 10 = 60

6 x 8 = 48

60 + 48 = 108

So the area of the rectangle at the top is 108 mi squared

Now let's do the bottom part.

This part is easy because we can the length and width are 14 and 11

So, let's multiply 14 by 11

10 x 11 = 110

4 x 11 = 44

110 + 44 = 154

So the area of the bottom rectangle is 154 mi squared

Now the middle part

We can see that one of the sides is 16 mi, and we calculated that the other side is 7 mi earlier to find the area of the top part.

So, we multiply 16 by 7

7 x 10 = 70

7 x 6 = 42

70 + 42 = 112

So now we add all the areas together.

108 + 154 + 112 = 374

The area of the entire figure is 374 mi squared

A perfect square trinomial factors to a binomial squared, option a.

A perfect square trinomial is a trinomial expression that can be factored into the square of a binomial. It has the form:

(ax² + bx + c)²

To factor it, you can take the square root of the first term (ax²) and the square root of the last term (c). The middle term (bx) will be twice the product of these square roots. Therefore, the factored form of the perfect square trinomial is:

(ax² + bx + c)² = (√(ax^2) + √(c))² = (√(ax^2) + √(c))(√(ax^2) + √(c))

This can be simplified to:

(ax² + bx + c)² = (√(ax²) + √(c))² = (√(a)x + √(c))²

So, a perfect square trinomial factors into the square of a binomial, where the first term of the binomial is the square root of the coefficient of the squared term, and the second term is the square root of the constant term.

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y^2=8 then y=+_6the solutions are +6,-6

Answer:

Step-by-step explanation:

Evaluate 5 - 3(a3 – b2)2 when a = 3 and b = 5.

5 - 3 × (a³-b²)²                           a=3 and b=5

5 - 3 × (3³ - 5²)² =

5 - 3 × (27  - 25)² =

5 - 3 × (2)² =

5 - 3 × 4 =

5 - 12 =

-7

Concurrent line segments are those that cross at least three other line segments at the same location.

Concurrent line segments are those that cross at least three other line segments at the same location. In geometry, if two lines intersect at a single point in a plane or higher-dimensional space, they are said to be concurrent. In contrast to parallel lines, they exist. Concurrent lines are those that cross more than one line at the same time through a single point in a plane. The point of concurrency is a location that each of those lines shares. Triangles provide another example where this concurrency characteristic can be observed.

Here,

Concurrent line segments are those where three or more line segments cross each other at the same location.

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Answer:

g=64

Step-by-step explanation:

(144+6×8)÷3=g

144+48/3=g

192/3=g

64=g

g=64

Answer:

g = 64

Step-by-step explanation:

(144 + 6 * 8) / 3 = g

g = (144 + 6 * 8) / 3

g = (144 + 48) / 3

g = 192 / 3

g = 64

Writing linear equations given two points can be a useful skill when graphing linear equations.

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we have

the solution is the interval {2, infinite)

In a number line the solution is the shaded area at right of a=2 (close circle)

therefore

the answer is

First option

Answer:

16 girls

Step-by-step explanation:

boys : girls : total

5          4        5+4 = 9

take the total number of people and divide by 9

36/9 = 4

Each number should be multiplied by 4

boys : girls : total

5*4        4*4     9*4

20          16        36

There are 16 girls

In 6 days 285 miles can be travelled.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

190  miles cover in 4 days.

let x miles travelled in 6 days

So, using proportion

190/4 = x/6

190 x 6 = 4x

4x= 1440

x= 285 miles.

Hence, in 6 days 285 miles can be travelled.

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a.  Count the number of observations in group 2.

b. Count the number of observations in group 1.

a. To bin the values of x1 into 3 equal size groups and find the number of observations assigned to group 2, follow these steps:
1. Sort the x1 values in ascending order.
2. Determine the size of each group by dividing the total number of observations by 3 (equal size groups).
3. Label the groups 1 (lowest values), 2 (middle values), and 3 (highest values).
4. Count the number of observations in group 2.
b. To bin the values of x2 into 3 equal interval groups and find the number of observations assigned to group 1, follow these steps:
1. Find the minimum and maximum values of x2.
2. Calculate the range (maximum - minimum) of x2 values.
3. Divide the range by 3 (equal intervals) to determine the interval size.
4. Label the groups 1 (lowest values), 2 (middle values), and 3 (highest values) based on the interval ranges.
5. Count the number of observations in group 1.

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When a class interval is expressed as 100 up to 200, it means that the data is grouped into intervals or ranges, and the first interval starts at 100 while the last interval ends at 200.

When dealing with large sets of data, it is often more convenient to group the data into intervals or classes. Each interval is a range of values, and the frequency of data falling within that range is recorded. The class interval "100 up to 200" means that the first interval starts at 100, and the range continues up to but does not include 200.

This means that the first interval will include all values greater than or equal to 100 and less than 200. The exact size of the interval (i.e., the width) is not specified in this expression, so it could be any value that covers the range between 100 and 200.

For example, the interval could be 100-199, 100-199.99, or any other width that covers the specified range.

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Answer:.

Step-by-step explanation:

The increase in surface area of the bag is by a factor of 20.

Scaling

Scaling is the increase or decrease in  the size of an object or figure by a factor k, so as to create an image.

Given that the bag size is increased so as to carry more food, hence:

Scale factor = 40 pounds / 2 pounds = 20

The increase in surface area of the bag is by a factor of 20.

Answer:

I dont now what is that?????

At a price of $27, the elasticity of demand is approximately 2.06, indicating elastic demand. To increase revenue, we should la) ower prices.

To find the elasticity of demand at a price of $27, we need to calculate the derivative of the demand function with respect to price (p) and then evaluate it at p = $27.

The given demand function is:

d(p) = √(225 - 2p)

To calculate the elasticity of demand, we can use the formula:

E = (dp/dq) * (q/p)

Where:

E is the elasticity of demand

dp/dq is the derivative of the demand function with respect to price (p)

q is the quantity demanded

p is the price

However, in this case, we are only interested in the elasticity of demand at a specific price ($27), so we can simplify the formula as follows:

E = (dp/dp) * (p/q)

Since dp/dp is equal to 1, the formula simplifies to:

E = p/q

To find the elasticity at p = $27, we need to determine the corresponding quantity demanded. We can substitute p = $27 into the demand function:

d(27) = √(225 - 2 * 27)

d(27) = √(225 - 54)

d(27) = √171

d(27) ≈ 13.08

Now we can calculate the elasticity at p = $27:

E = (27 / 13.08) ≈ 2.06

The elasticity of demand at a price of $27 is approximately 2.06.

Based on the value of elasticity, we can determine the nature of demand at this price. If the elasticity of demand is greater than 1, it is considered elastic demand. If it is less than 1, it is considered inelastic demand. If it is exactly equal to 1, it is considered unitary or unit elastic demand.

In this case, since the elasticity of demand is greater than 1 (2.06 > 1), we would classify the demand as elastic.

To increase revenue, we need to consider the relationship between price and total revenue. For elastic demand, increasing revenue involves lowering prices. This is because when the demand is elastic, a decrease in price leads to a proportionately larger increase in quantity demanded, resulting in an overall increase in total revenue.

Therefore, to increase revenue, we should lower prices. In this case, option a. Lower Prices would be the appropriate choice.

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Answer:

The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4

Step-by-step explanation:

The parameters given are;

Proportion of the box of chocolates that contain nuts = 1/5

Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5

Therefore, we have in a box of chocolates with five chocolates;

The number of chocolates that contain nuts = 1

The number of chocolates that do not contain nuts = 4

Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.

The linear equation y' - 8 = 5y can be rewritten in the form y' = 5y + 8. We need to find the integrating factor Q(x) for this equation. The integrating factor Q(x) is given by Q(x) = \(e^{\int 5 dx} = e^{5x}.\)

To find the integrating factor Q(x), we look at the coefficient of y in the equation y' - 8 = 5y, which is 5. The integrating factor is defined as Q(x) = \(e^{\int 5 dx}\), where ∫5 dx represents the integral of 5 with respect to x.

In this case, the integral of 5 dx is simply 5x. Therefore, the integrating factor Q(x) is \(e^{5x}\).

To solve the linear equation y' - 8 = 5y, we multiply both sides of the equation by the integrating factor Q(x). This gives us:

\(e^{5x}\) * (y' - 8) = \(e^{5x}\) * 5y.

By applying the product rule on the left side of the equation, we can rewrite it as:

(\(e^{5x}\) * y)' = 5 * \(e^{5x}\)* y.

Integrating both sides with respect to x, we get:

∫(\(e^{5x}\) * y)' dx = ∫(5 * \(e^{5x}\) * y) dx.

This simplifies to:

\(e^{5x}\)* y = ∫(5 *\(e^{5x}\) * y) dx.

Solving for y, we have:

y =\(e^{5x}\) * ∫(5 * \(e^{5x}\) * y) dx.

Therefore, the function Q(x) for the linear equation y' - 8 = 5y is Q(x) = \(e^{5x}\)

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width= 7m

Step-by-step explanation:

Area= L×W

L= (x+8)m

W=8m

105m²= (x+8)m × (x)m

105m²= x² + 8x

-x² - 8x + 105= 0

(x-7) (x+15) = 0

x= 7 x= -15

x=width = 7m

Answer:

Below

Step-by-step explanation:

The area of the swimming pool is

● A = L × w    where L is the length and w is the width

The length is 8 m more than the width L = w + 8

● A = (w+8)×w

● A = w^2 +8w

● 105 = w^2 + 8w

● w^2 + 8w - 105 = 0

This is a quadratic equation.

We will solve by graphing it using a graphing tool

The solutions are the intersection points with the x-axis

We will only take the positive solution since the width can't be negative.

The solution is 7 (picture below)

● w = 7 m

The length is

● L = w + 8

● L = 7 + 8

● L = 15 m

Answer:

6(2+3)

Step-by-step explanation:

6x2=12

6x3=18

12+18

The reason that best supports statement 5 in the given proof is the Distributive property.

The distributive property also known as the distributive law of multiplication applies to subtraction and addition. The formula for the distributive property is expressed as:

a×(b+c)= (a×b)+(a×c)

where a, b and c are real integers.

For example, 2(3+4)

The two variables inside the parentheses can not be added since they are not like terms. Therefore, they cannot be simplified any further. This is where distributive property applies: (6+8), every term is multiplied by 2 so that they can be added and the parentheses no longer applied.

In the given question, the angle C is:

48+84+mC= 180°C

mC= 180-132°C

mC= 48°C

Therefore, by applying the law of distributive property we get-

48°C(1+1)+84°C= 180°C

48°C+ 48°C +84°C= 180°C

Hence, the statement is supported by Distributive property.

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Answer:

subtitution

Step-by-step explanation:

For the given equation which shows the relation of temperature in Celsius and Fahrenheit, the correct option is Option D.

What is meant by temperature?

Indicating the direction in which heat energy will naturally flow from a hotter body (one with a higher temperature) to a colder body(one at a lower temperature), the temperature is a measure of hotness or coldness defined in terms of any of several arbitrary scales.

The given equation is:

\(C = \frac{5}{9} (F- 32)\)

where C = temperature in Celsius

          F = temperature in Fahrenheit

The above equation can be rewritten as:

C = 5/9F - 160/9

Now, this is an equation of a straight line with a formula,

y = mx + c

Comparing,

m = 5/9 which is the slope of the equation.

This means that for a temperature increase of 1 degree Fahrenheit, the equivalent increase in temperature in Celsius is 5/9.

So the option I is true.

Similarly, an increase in 1 degree Celsius of temperature is equivalent to 9/5 = 1.8 degree increase in Fahrenheit.

So option II is true.

Option III is not true as is discussed above.

Therefore for the given equation of temperature, the correct option is Option D.

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Answer:

D

Step-by-step explanation:

I have nothing else to say- lol

Answer:

None

Step-by-step explanation:

If one angle is 95 degrees and other is an obtuse angle (greater than 90 degrees) Say 91 (Just 1 degree greater than 90). So, no triangle would be made because a triangle can never be made from 2 obtuse angles.