How do you prove a square is congruent?

Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

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The answer to your question is that the only way to demonstrate causation is to conduct a controlled experiment. This domain involves manipulating one variable and measuring the effect it has on another variable while holding all other variables constant.

correlation simply shows a relationship between two variables, but it doesn't prove that one variable causes the other. There could be other factors at play that are influencing both variables. For example, there may be a correlation between ice cream sales and crime rates, but this doesn't mean that ice cream causes crime or vice versa. It's possible that a third variable, such as temperature, is influencing both ice cream sales and crime rates.

further into the complexities of establishing causation, such as the need for random assignment in experimental studies, the importance of replicating findings, and the challenges of applying experimental findings to real-world situations. However, the key point is that a controlled experiment is the most reliable method for establishing a causal relationship between variables.

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Answer:

160

Step-by-step explanation:

5 x 4 x 8

The inverse of the given matrix, if it exists, is (1/(a^2 + b^2)) times the matrix [a b; -b a].

To find the inverse of a 2x2 matrix [a -b; b a], we can use the formula for the inverse of a 2x2 matrix. The formula states that if the determinant of the matrix is non-zero, then the inverse exists, and it can be obtained by taking the reciprocal of the determinant and multiplying it by the adjugate of the matrix.

In this case, the determinant of the given matrix is a^2 + b^2. Since the determinant is non-zero for any non-zero values of a and b, the inverse exists.

The adjugate of the matrix [a -b; b a] is [a b; -b a].

Therefore, the inverse of the given matrix is (1/(a^2 + b^2)) times the matrix [a b; -b a].

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Answer:

$410

Step-by-step explanation:

Step 1

We calculate the amount of commission of sales

Commission rate = 10%

Total sales = $2100

Hence,

= 10% × $2100

= 10/100 × $2100

= $210

Step 2

The total pay of Clarence for that week

= Commission + Weekly salary

Commission = $210

Weekly salary = $200

Hence,

= $210 + $200

= $410

Answer:

a = 2/5 = 0.4

b = 9/25 = 0.36

c = 19/50 = 0.38

Step-by-step explanation:

relative frequency = (number of desired results)/(total number of possible results)

a = 4/10 = 2/5 = 0.4

b = 18/50 = 9/25 = 0.36

c = 76/200 = 19/50 = 0.38

Answer:

94

Step-by-step explanation:

Answer:

your answer will be A

Step-by-step explanation:

have a nice day/ night

Answer:

Proper fraction

Step-by-step explanation:

If the numerator is less than the denominator , then it is proper fraction.

Example : \(\frac{5}{8}, \frac{124}{1000}\)

Answer: 6

Step-by-step explanation:

Answer:

7776

Step-by-step explanation:

Answer:

I think it is true , but I am not sure

The corresponding angles and sides of the two triangles need to be given in order to prove congruence by side-angle-side.

In order to prove congruence by side-angle-side, the corresponding angles and sides of the two triangles must be given. The sides must be proportional, which means that two sides of one triangle must be equal to two sides of the other triangle, and the angles between these two sides must also be equal. In other words, if two sides of one triangle are equal to two sides of the other triangle, and the angle between those two sides is also equal, then the two triangles are congruent. This can be expressed as “If two sides and the included angle of one triangle are equal to the corresponding sides and angle of a second triangle, then the two triangles are congruent.” In order to prove congruence by side-angle-side, all of the corresponding sides and angles must be given in order to show that they are equal.

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The additional information that is needed to prove the triangles are congruent by Side-Angle -Side us that the corresponding angles and sides of the two triangles need to be given .

What is Side-Angle-Side Congruence ?

The Two Triangles can be called as  Congruent by Side-Angle-Side rule  if any 2 sides and angle included between sides of one triangle is equivalent to corresponding 2 sides and angle between sides of second triangle .

In order to prove the Congruence by Side-Angle-Side, the corresponding angles and the sides of the 2 triangles must be given.

The sides must also be in proportional, that means that the two sides of one triangle must be equal to two sides of other triangle, and

the angles between these two sides of the triangle must  be equal.

So , In order to prove a triangle congruent by Side-Angle-Side, all of the corresponding sides and angles must be given in order to prove  that they are equal.

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The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.

The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`

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The liabilities whose book values and fair values differed by \$100,000 during that year are:

The difference between book values and fair values of liabilities arises due to various factors. Book value refers to the value of a liability as recorded on the balance sheet, which is based on historical cost and may not reflect the current market conditions. Fair value, on the other hand, represents the estimated value of a liability in the current market.

There are several reasons why the book values and fair values of liabilities may differ.

Changes in interest rates, creditworthiness of the debtor, market conditions, and the passage of time can all contribute to these differences. If interest rates have changed since the liability was initially recorded, the fair value may be higher or lower depending on the prevailing rates.

Similarly, if the creditworthiness of the debtor has changed, the fair value may be adjusted to reflect the increased or decreased risk associated with the liability.

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Answer:

y-1= -3/4(x-1)

Step-by-step explanation:

find the slope then put it in the format: y2-y1=m(x2-x1)

y-1= -3/4(x-1)

Answer:

y = -3/4x + 7/4

Step-by-step explanation:

So we have 2 points:

(-3, 4) & (1, 1)

The formula for point-slope is:

y - y1 = m (x - x1)

First, we need to find the slope between the points

The formula for this is

(y2 - y1) /(x2 - x1)

1 - 4 / 1 - (-3) ->

-3 / 4

Our slope is -3/4 (m)

y = -3/4 (x + 3) + 4

I've done this using a simplified formula for point slope which is

y = m(x - x1) + y1

we can simplify this equation more

y = -3/4x + 7/4

is our final equation.

Answer:m=-1

Step-by-step explanation:

M=-(4+m)+2

M=-4-m+2

m+m=-4+2

2m=-2

m=-1

Answer:

E) 36 ft²

Step-by-step explanation:

Formulae

The shape is made up of 2 congruent triangles and 3 different rectangles.

Area of triangle = 1/2 x 3 x 4 = 6 ft²

Area of rectangle 1 = 2 x 4 = 8 ft²

Area of rectangle 2 = 2 x 3 = 6 ft²

To calculate the area of the 3rd triangle, we need to use Pythagoras' Theorem to determine the length of the hypotenuse of the right triangle.

   a² + b² = c²

⇒ 3² + 4² = c²

⇒ 25 = c²

⇒ c = √(25)

⇒ c = 5 ft

Therefore, area of rectangle 3 = 2 x 5 = 10 ft²

Total Surface Area

Total SA = 2 triangles + rectangle 1 + rectangle 2 + rectangle 3

               = (2 x 6) + 8 + 6 + 10

               = 36 ft²

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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Answer:

(7.5,3)

Step-by-step explanation:

Image for explanation

Step-by-step explanation:

a diagram is necessary. please provide a diagram.

The equation that can be used to determine the radius of the can isr = √(v/πh)

For example, Y is the subject of the following equations. Y = x + 1, Y = 4 + 2x, Y = 2(2x – 3). In the relation v=u + at, v is said to be the subject. When a formula is rearranged so that a different letter becomes the subject, this process is referred to as changing the subject of the relation.

Similar making r the subject in V= π r^2 h

divide both sides by πh

V/πh = r²

r² = V/πh

r = √(V/πh)

therefore the radius of the can be obtained from

r = √(V/πh)

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Answer:

p = 4

that is a number greater than 2

Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

\(P\) (number > 2)

The values we can roll to satisfy the condition that the roll be greater than 2 are: 3, 4, 5, 6 - and so there are 4 values we can roll.

The number of values we can get on a standard number cube is 1,2, 3, 4, 5, 6

- and so 6 values.

Which gives us

\(P\) (number > 2)=

\(\frac{4}{6} =\frac{2}{3}\)

Hope this helps,

plx give brainliest

The selling price of the DVD that has a cost of 15 dollars is 19 dollars and 50 cents.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A store owner paid $15 for a DVD.

He marked up the price of the DVD by 30%.

The cost price is $15.

Then the selling price will be given as

Selling price = 15 × 1.3

Selling price = $19.50

The selling price is 19 dollars and 50 cents.

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Given that Nina can ride her bike 63,360 feet in 3,400 seconds and Sophia can ride her bike 10 miles in 1 hour. We need to calculate Nina's rate in miles per hour. If there are 5,280 feet in a mile, To calculate the miles ridden by Nina, we have to convert the feet to miles.

Therefore,Divide 63,360 feet by 5,280 feet/mile.63,360 feet/5,280 feet/mile=12 milesNina rode her bike for 12 miles.Now, we have to calculate the rate of Nina in miles per hour. In order to do that, we have to convert seconds into hours by dividing the number of seconds by 3600 (the number of seconds in an hour).

The rate of Nina in miles per hour = (12 miles)/(3,400 seconds/3600 seconds/hour) = 4/85 miles per hour ≈ 0.04706 miles per hour ≈ 12.7 miles per hourTherefore, the rate of Nina is approximately 12.7 mph. To compare, Sophia's rate was 10 mph.Nina bikes faster than Sophia as Nina's rate (12.7 mph) is more than Sophia's rate (10 mph). Hence, the answer is Nina.

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Answer: 4(9+4)

Step-by-step explanation:

(4)(9) = 36

(4)(4) = 16

4(9+4) = 36+16

Based on the weight of the old box of crackers, we can infer that the weight of the new box is 14.4 ounces.

The old box weighed 12 ounces and the new box has 20% more than the old box had.

The new box should therefore weigh 20% more than the old box which means that it weighs:

= Weight of old box x ( 1 + increase in new box)

= 12 x (1 + 20%)

= 14.4 ounces

In conclusion, the new box weighs 14.4 ounces.

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The cycle continues until the team either reaches their goal or exhausts all four downs without gaining the necessary yardageDuring a football game, a team has four plays, or downs, to advance the football at least ten yards.

The team starts with first down, and if they successfully gain ten or more yards within these four downs, they are awarded a new set of four downs to continue their offensive drive.

If the team successfully gains the required yardage on their first down, they reset to first down and have a fresh set of four downs. However, if they fail to reach the ten-yard mark after their first down, the remaining downs decrease by one.

For example, if the team gains three yards on their first down, they will have three remaining downs to gain the remaining seven yards. If they gain another five yards on the second down, they will reset to first down, and once again have four downs to advance ten or more yards.

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Step-by-step explanation:

Btw The one on the upper right hand side is Right angle

Answer:

The answer is the image.

Step-by-step explanation:

Sorry for messy writing.