Two angles are supplementary. The larger angle is 72∘ more than the smaller angle. Find the measure of the larger angle.

The expression represents the amount of money, in dollars, saved by buying a total of 600 ounces of laundry detergent in 150-ounce bottles versus 100-ounce bottles is

4 x 19.99 - 6 x 14.99

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Price of two Laundry Detergent

$19.99 for a 150-ounce bottle

$14.99 for a 100-ounce bottle

Now,

Price of 600 ounces of the 150-ounce bottle.

We need four 150-ounce bottles to make 600 ounces.

= 4 x 19.99

Price of 600 ounces of the 100-ounce bottle.

We need six 100-ounce bottles to make 600 ounces.

= 6 x 14.99

Now,

The expression represents the amount of money, in dollars, saved.

4 x 19.99 - 6 x 14.99

Thus,

4 x 19.99 - 6 x 14.99 is the expression.

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Answer:

ind Three Ordered Pair Solutions 4x-y=10 4x − y = 10 4 x - y = 10 Solve the equation for y y. Tap for more steps... y = −10+4x y = - 10 + 4 x Choose any value for x x that is in the domain to plug into the equation. Choose 0 0 to substitute in for x x to find the ordered pair. Tap for more steps... (0,−10) ( 0, - 10)

Step-by-step explanation:

Using statistical study, the steps are define the research question, selecting the sample, collect data, analyze the data, interpret results, report findings and draw conclusions.

A statistical study, also known as a statistical analysis or statistical survey, is a method of collecting, analyzing, and interpreting data in order to make inferences about a larger population. The goal of a statistical study is to extract information from a sample of data in order to make generalizations or predictions about a population.

Here are the seven steps for conducting a statistical study:

1.

Define the research question and objectives: Clearly define the research question and objectives of the study. In this case, the research question would be "Does eating before bed influence sleep patterns?"

2.

Select a sample: Select a sample of participants who will be included in the study. The sample should be representative of the population of interest and should be chosen using a random sampling method.

3.

Collect data: Collect data on the sleep patterns and eating habits of the participants in the sample. This could include measures such as sleep duration, sleep quality, and timing of last meal.

4.

Analyze the data: Use statistical methods to analyze the collected data. This could include comparing the sleep patterns of participants who eat before bed to those who do not, and determining if there is a significant difference between the two groups.

5.

Interpret the results: Interpret the results of the analysis, and determine if there is a statistically significant relationship between eating before bed and sleep patterns.

6.

Report the findings: Report the findings of the study, including a description of the research question, methods, results, and conclusions.

7.

Draw conclusions and make recommendations: Draw conclusions based on the results of the study, and make recommendations for future research or practical applications.

Please note that this is a general outline and the actual study may have different steps depending on the specific design, complexity and type of research.

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Answer: 8.3

Step-by-step explanation: A rounded answer for 8.3 would be 8.5.

The area of the parallelogram-shaped rice field is 1120 square meters and the perimeter of the rice field is 150 meters.

The area of a parallelogram can be calculated by multiplying the base (length of one side) by the height. In this case, the base is 40 meters and the height is 28 meters, so the area of the rice field is:

40 meters x 28 meters = 1120 square meters

To find the perimeter of a parallelogram we add the four sides, two sides are 40 meters and the other two sides are 35 meters so the perimeter will be:

40 + 40 + 35 + 35 = 150 meters

So, around Pak Tani's rice field is 150 meters.

As a solution, the area of the parallelogram-shaped rice field is 1120 square meters and the perimeter of the rice field is 150 meters.

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On unit conversion the values obtained are -

1. 1.708 mm = 0.001708 m

2. 15.6 km = 1560 dam.

3. 200° F = 93.33° C

4. 3,569 secs = 0.04130787 days

5. 4 Score = 959.999 mo.

6. 16.5 L = 4.358839 gal

7. 10,866 mg = 0.010866 kg

8. 108cc = 108 mL

9. 299K = 25.85°C

10. 8tbsp = 118.294 mL

What is conversion of unit?

The multi-step process of unit conversion involves multiplying or dividing by a numerical factor. Weight, distance, and temperature can all be measured in a variety of ways.

1. 1.708 mm

Convert from Millimetre(mm) to Meter(m)

Divide the Millimetre value by 1000.

= 1.708 / 1000  

=  0.001708

Therefore, the value is obtained as 0.001708.

2. 15.6 km

Convert from Kilometer(km) to Decameter(dam)

Multiply the kilometer value by 100.

= 15.6 × 100

= 1560

Therefore, the value is obtained as 1560 dam.

3. 200°F

Convert from Fahrenheit to Celsius

Use the formula - (F − 32) × 5/9

Substitute the value -

= (200°F − 32) × 5/9

= 93.333

Therefore, the value is obtained as 93.333°C.

4. 3,569 secs = 0.04130787 days

Convert seconds to days

Divide the time value by 86400.

= 3,569 / 86400

= 0.04130787

Therefore, the value is obtained as 0.04130787 days.

5. 4 Score

4 score = 80 years

To convert years to months, multiply the year value by 12.

= 80 × 12

= 959.999 ≈ 960

Therefore, the value is obtained as 960 months.

6. 16.5 L

Convert the liter value to gallons

Divide the volume value by 3.785

= 16.5 × 3.785

= 4.358839

Therefore, the value is obtained as 4.358839 gal.

7. 10,866 mg

Convert Milligram(mg) to Kilogram(kg)

1 mg = (1/1000000) kg

= 10-6 kg

= 10,866 mg

= 0.010866 kg.

Therefore, the value is obtained as 10,866 mg.

8. 108cc

Convert Centimeter to Milliliter

Multiply the volume value by 1

= 108 × 1

= 108

Therefore, the value is obtained as 108 mL.

9. 299K

Convert Kelvin to Celsius

The formula is 299K − 273.15

= 25.85

Therefore, the value is obtained as 25.85°C.

10. 8tbsp

Convert tablespoon to Millilitre

Multiply the volume value by 14.787.

Therefore, 8 × 14.787

= 118.294

Therefore, the value is obtained as 118.294 mL.

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Using Venn diagram, There are total 24 people who study Russian and Spanish.

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not. Venn diagrams are useful for showing how two concepts are related and different visually.

Given,

50 pupils study Russian.

31 pupils study Spanish.

23 pupils study neither Russian nor Spanish.

Total = 80

80 - 23 = pupils study either Russian nor Spanish.

Using venn diagram formula,

(A ∪ B) =  (A) +  (B) –  (A ∩ B)

⇒ 57 = 50 + 31 -  (A ∩ B)

⇒ 57 = 81 - (A ∩ B)

⇒ (A ∩ B) = 24

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The system of equations we need to solve is:

x + y = 36

x*0.05 + y*0.25 = 6.20

Solving that we will see that she has 22 quarters and 14 nickels.

First we need to define the variables:

x = number of nickels

y = number of quarters.

We know that there are 36 coins, so we can write the equation:

x + y = 36

And the total value is $6.20, so we can write the equation:

x*0.05 + y*0.25 = 6.20

Then we can write the system of equations:

x + y = 36

x*0.05 + y*0.25 = 6.20

Using the first equation we can isolate x to get:

x = 36 - y

Replacing that in the other equation we will get:

(36 - y)*0.05 + y*0.25 = 6.20

We can solve this for y.

1.8 - y*0.05 + y*0.25 = 6.20

1.8 + y*0.20 = 6.20

y*0.20 = 6.20 - 1.8

y = 4.4/0.2

y = 22

Then the value of x is:

x = 36 - 22 = 14

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t-test is used to compare the sample means from two related groups.

As previously stated, these two tests should be applied to separate data structures. When data from two samples are statistically independent, the two-sample t-test is employed, but the paired t-test is used when data is in the form of matched pairs.

To compare sample means from two related groups, the dependent samples t-test is utilized. This signifies that the scores for both groups being compared were obtained from the same individuals. The goal of this test is to see if there is a difference between two measurements (groups). If you’re only looking at one group, use a paired t-test to compare the mean of the group over time or after an intervention, or a one-sample t-test.

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Using the scale factor of the similar triangles, the height of the tree is: 75 ft.

The scale factor of similar triangles is the ratio of the lengths of corresponding sides. It represents the relationship between the size of two similar triangles. If the scale factor is "k", then any side length of the larger triangle is "k" times the length of the corresponding side in the smaller triangle.

The diagram given shows that the bigger triangle is a copy of the smaller triangle that is enlarged by 2. This means the scale factor is 2.

Therefore: the height of the tree = 150/2 = 75 ft.

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Answer: no

Step-by-step explanation: if you do cross multiply it would not come out as same number

Answer:

9637

Step-by-step explanation:

I hope it helps

Answer:

I'm pretty sure it's 9(8279123

Step-by-step explanation:

have a nice day

Answer:1300 dimes

Step-by-step explanation: each dime is 10 cents, 13 dollars is 1300 cents, divide 1300/10

Given:

We got two right triangles with common side and equal corresponding sides and we'll prove they are congruent by SAS.

        Statement                                           Reason                                

Answer:

B

Step-by-step explanation:

Its B

Nice, you're on transversals! Now I can overload you with those theorems! >:)  I really do hope you're doing homework right now.  I'll just give you what I can tell you.

Alternate exterior angles (congruent): <1 and <7, <2 and <8
Vertical angles (congruent) : <3 and <2, <1 and <4, <5 and <7, <6 and <8
Same-side Interior Angles (congruent): <3 and <5, <4 and <6
Supplementary Angles: <1 and <2,  <3 and <4, <5 and <6, <7 and <8, <1 and 8, <2 and <7, <2 and <4, etc, I could go on but my fingers are tired.
Corresponding angles (Congruent): 4 and 7, 2 and 6, 1 and 5, 3 and 8

Do let me know if this was a test.  I think I'm probably too late by now if it is, so at least I won't get you in trouble.  Make sure you don't ask anyone anything that is on an exam or test, you can have some serious consequences.  :(

It is possible to compute the value of cos 135 degrees by first creating an angle of 135° .The exact value is sin (135) = (√2)/2 .

It is possible to compute the value of cos 135 degrees by first creating an angle of 135° with the x-axis, and then determining the coordinates of the point (-0.7071, 0.7071) on the unit circle.

You need the following formula to determine the precise value of cos(135):

cos(a+b) = cos(a + b) - cos(a + b) - sin(a + b)

In this instance, then, it would be:

Cos (45 + 90) = Cos (135) = Cos (45)

Sin 90 = (2)/2 0 - (2)/2 1 = 0 - (2)/2 = - (2)/2. Cos 90 - Sin 45.

You need the following formula to determine the precise value of sin(135):

Cos b - Cos a + Sin b = sin (a+b) = sin a • cos b

Accordingly, sin (135) = sin (90 + 45) = sin 90 • cos 45 + cos 90 • sin 45 = (1 (2)/2) + (0 (2)/2) = (2)/2).

cos (135)= - (√2)/2

sin (135) = (√2)/2

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[tex]\it x-4 < 16 \bigg|_{+4}\Rightarrow x < 20 \Rightarrow x=16 \ is\ an\ integer\ suitable\ for \ this \ inequality[/tex]

Answer: 39

Step-by-step explanation: 18/3 = 6, each page can hold 6 cards, 234 divided by 6 is 39, hope this helps

The value of x is 8  

If all of the corresponding sides and angles of two triangles are identical, then those triangles are said to be similar triangles. In similar triangles, the ratio of the corresponding sides will be equal.

If two triangles ΔABC and ΔXYZ are similar triangles the ratio of the corresponding sides will be equal

=> AB/XY = BC/YZ = AC/ZX

Here we have

ΔDEF and ΔABC  

From both triangles,

The ratio of corresponding sides = DE/AB and FD/AC

As we calculate,  [tex]\frac{19.2}{3.2} = \frac{39}{6.5} = 6[/tex]    

Thus the ratio of corresponding sides is same and equal to 6

=> [tex]\frac{FE}{BC} = 6[/tex]  

=> [tex]\frac{48}{x} = 6[/tex]

=> [tex]6x = 48[/tex]

=> x = 8  

Therefore,

The value of x is 8    

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1- The solution for this system of equations is (2, -7).

The graph of this system of equations is shown below:

Graph:

2- The solution to the system of equations is (6.5, -4.5).

3- The solution to this system of equations is (3, 9). This can be seen from the Desmos graph below:

Answer:

(- 2, - 7 )

Step-by-step explanation:

x + 3y = - 23 → (1)

- x + 4y = - 26 → (2)

add (1) and (2) term by term to eliminate x

(x - x) + (3y + 4y) = - 23 - 26

0 + 7y = - 49

7y = - 49 ( divide both sides by 7 )

y = - 7

substitute y = - 7 into either of the 2 equations and solve for x

substituting into (1)

x + 3(- 7) = - 23

x - 21 = - 23 ( add 21 to both sides )

x = - 2

solution is (- 2, - 7 )

Answer:

3 2/9

Step-by-step explanation:

9 x 3= 27

29 - 27= 2

2 --> 2/9

3 + 2/9= 3 2/9

Answer:

3 1/9

Step-by-step explanation:

I think the equation should be x² + 4x + 11 = 0, so I am giving the solution of the same.

Hope it helps.

If you have any query, feel free to ask.

Answer:

Step-by-step explanation:

Since we have given that

Amount that Mike has = $12

Amount he spends each day = $2

Let the number of days be 'x'.

Let the amount remaining at the end be 'y'.

So, According to question, it becomes,

Hence, our required expression would be

The degree measure of each angle in the triangle exists 80, 50, 50

The angle is said to have a measure of one degree, denoted by the symbol 1°, if the rotation from the initial side to the terminal side is (1/360)th of a revolution. Radian length. An angle is said to have a measure of 1 radian if it is subtended at its center by an arc of length 1 unit in a unit circle.

Since the triangle exists an isosceles triangle, the base angles are equal.

The three interiors angles of the triangle are,

(3 x+47),(4 x+6),(4 x+6)

The sum of these three angles must equivalent to 180°.

(3 x+47)+(4 x+6)+(4 x+6)=180

We group like terms to get,

3 x+4 x+4 x=180-47-6-6

This simplifies to,

11 x = 121

We divide both sides by 11 to get,

The measure of the angles are,

(3(11)+47),(4(11)+6),(4(11)+6)

simplifying the above equation, we get

(33+47),(44+6),(44+6)

80, 50, 50

Therefore, the degree measure of each angle in the triangle exists 80, 50, 50.

The complete question is:

Suppose that QRS is isosceles with base SQ . Suppose also that =m∠R+3x47° and =m∠S+4x6° . Find the degree measure of each angle in the triangle.

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Answer: There you go

Step-by-step explanation:

The thing that 180/15 mean in this context is the price of one ticket.

The quotient based on the information is $12.

The sixth-grade science club needs to raise $180 in order to visit a science museum. Since the price of each ticket is the same, the total sum of money required by the sixth-grade science club is 180, which is the dividend.

The number 15 serves as the divisor and represents the total amount of tickets required. The outcome of the division is the quotient. The ratio is $12. Therefore, the price of one ticket is the quotient.

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Complete question

A sixth grade science club needs $180 to pay for the tickets to a science museum. All the tickets cost the same amount. What could 180/15 mean in this context? Describe two interpretations of the expression. Then, find the quotient and explain what it means in each interpretation.

Answer: Yes

Step-by-step explanation:

Use the Triangle Inequality:

5+7 > 9

7+9 > 5

5+9 > 7

All 3 statements are true, so 5, 7, 9 could be the sides of a right triangle