There are 40 more pennies than nickels.
Find a combination that meets all 3 criteria:
*
There are 240 coins in the jar (only pennies, nickels, and
dimes)
* There are twice as many dimes as nickels.
* There are 40 more pennies than nickels.
*

Answers

Answer 1

Answer:

50 Nickels, 90 pennys, 100 dimes

Step-by-step explanation:

x = Nickels

x+40+x+x2=240

Add similar elements x+2x+x=4x

4x+40=240

Subtract 40 both sides

4x+40-40=240-40

4x =200

Divide Both sides by 4

4x/4 = 200/4

x=50


Related Questions

A vehicle was valued at $36,000 in the year 2011. The value depreciated to $12,000 by the year 2015. Assume that the car continues to drop at a constant rate. How long will it take for the car to be valued at $800?

Answers

The car will cost $ 800 after a depreciation time of approximately 6 years.

In what year does a car cost $ 800 due to depreciation?

Herein we are informed about the case of a car bought in 2011 at a cost of $ 36,000 and that depreciates linearly every year. Then, the depreciation function is described below:

c(t) = c' + m · t

Where:

c' - Initial cost of the car, in monetary unit.m - Depreciation rate, in monetary unit per year.t - Time, in years.

If we know that c(0) = 36,000, c(4) = 12,000 and c(t) = 800, then the depreciation rate is:

m = (12,000 - 36,000) / (4 - 0)

m = - 24,000 / 4

m = - 6,000

800 = 36,000 - 6,000 · t

6,000 · t = 35,200

t = 35,200 / 6,000

t = 5.867

The expected depreciation time is approximately 6 years.

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If x and y are real numbers such that x > 0 and y < 0, then
which of the following inequalities must be true? (Hint:
plug in possible numbers for x and y)

If x and y are real numbers such that x &gt; 0 and y &lt; 0, thenwhich of the following inequalities

Answers

Answer:

Step-by-step explanation:

The third one

If x and y are real numbers such that x > 0 and y < 0, then |x|^2 >|y| could be the correct option. So Option 3 is answer.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms then there might be some values of those variables for which that equation or inequality might be true.

Such values are called solution to that equation or inequality.

So, Set of such values is called solution set to the considered equation or inequality.

If x and y are real numbers such that x > 0 and y < 0,

We need to find the inequalities that must be true for the given situation;

Hence, |x|^2 >|y| could be the correct option.

When we put a number such that x > 0 and y < 0, then this holds true.

So Option 3 is answer.

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1.Solid iron(II) carbonate and solid cobalt(II) carbonate are in equilibrium with a solution containing 1.06×10^−2M iron(II) acetate. Calculate the concentration of cobalt(II) ion present in this solution. [ cobalt (II)]=___ M. 2.Solid iron(III) hydroxide and solid iron(III) sulfide are in equilibrium with a solution containing 7.85×10^−3M sodium hydroxide. Calculate the concentration of sulfide ion present in this solution. [sulfide] = ___M

Answers

The concentration of sulfide ion in the solution is 2.355×10^-2 M.

To calculate the concentration of cobalt(II) ion in the solution containing iron(II) acetate, we need to consider the equilibrium between solid iron(II) carbonate, solid cobalt(II) carbonate, and the iron(II) acetate solution.

The balanced equation for the equilibrium is:

FeCO3(s) + CoCO3(s) ⇌ Fe(C2H3O2)2(aq) + CoCO3(s)

From the equation, we can see that the concentration of cobalt(II) ion in the solution is equal to the concentration of cobalt(II) carbonate. Therefore, we need to determine the concentration of cobalt(II) carbonate.

To do this, we can use the equilibrium expression (Kc) for the reaction:

Kc = [Fe(C2H3O2)2(aq)] / ([FeCO3(s)] * [CoCO3(s)])

Given that the concentration of iron(II) acetate is 1.06×10^-2 M, we can substitute this value into the equation:

Kc = (1.06×10^-2) / ([FeCO3(s)] * [CoCO3(s)])

Since both solid iron(II) carbonate and solid cobalt(II) carbonate are in equilibrium with the solution, their concentrations remain constant. Therefore, we can assume that their concentrations are equal to their initial concentrations, which are both 0.

So, we can simplify the equation to:

Kc = (1.06×10^-2) / (0 * [CoCO3(s)])

As the concentration of solid iron(II) carbonate is 0, it cancels out, leaving us with:

Kc = 1.06×10^-2 / 0

Since we cannot divide by zero, we can conclude that the concentration of cobalt(II) ion in the solution is not determinable in this case.

Moving on to the second question, to calculate the concentration of sulfide ion in the solution containing sodium hydroxide, we need to consider the equilibrium between solid iron(III) hydroxide, solid iron(III) sulfide, and the sodium hydroxide solution.

The balanced equation for the equilibrium is:

Fe(OH)3(s) + Fe2S3(s) ⇌ 3NaOH(aq)

From the equation, we can see that the concentration of sulfide ion in the solution is equal to three times the concentration of sodium hydroxide.

Given that the concentration of sodium hydroxide is 7.85×10^-3 M, we can calculate the concentration of sulfide ion:

[sulfide] = 3 * [NaOH]
= 3 * 7.85×10^-3
= 2.355×10^-2 M

Therefore, the concentration of sulfide ion in the solution is 2.355×10^-2 M.

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Write an equation for the sentence below.

The sum of three times a number (x) and -23−23 is 2828.

Answers

Answer:

3x - 23 = 2828

Step-by-step explanation:

I'll assume the question is supposed to read "The sum of three times a number (x) and −23 is 2828."

"three times a number (x)" can be written as 3x

"sum of three times a number (x) and −23" means 3x - 23

"is 2828"  = 2828

Put them together:

3x - 23 = 2828

==================

Not part of the question

If you want to solve for x:

3x = 2805

x = 935

A bicycle shop advertised all mountain bikes priced at a 1/3 discount. If the original cost of the bikes is $327, what is the price of the discount?

A$80

B.$75

C.$150

D.$109

Answers

D. $109

\(327 \div 3 = 109\)

Hope that helped:)

Joe has a mullet ratio of 1.5 (a) Find 2 possibilities for his hair lengths.​

Answers

Mullet ratio of 1.5 is 1.8

Given:

The mullet ratio is 1.5

Rm=\(\frac{party}{buisness}\)

Rm = 17/9

Rm=1.8

The ratio to their Mullet and several other higher-level extension questions.

Trimmed short in the front and sides, but left wild and long in the back. Mullet begins the experience with intuition, the lowest rung on the ladder of abstraction, asking students to decide using nothing more than their gut “which one is more Mullet-y” By the end, they’ve named variables and defined operations, entirely abstracting the context.

The pipe cleaner was inserted along the hair, and the students straightened it on their rulers to determine the size of the Party. The Business was often rather honest.

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Consider the monthly payment formula M = (Pr(1+r)^n/(1+r)^n-1 What is the name of the formula you get if you solve for P?

What about if you solve for n? What special function do you need to use when solving for n?

I will give brainliest if correct.

Answers

In the given formula we have variables:

M - monthly payment,P - principal,r - interest rate,n - number of payments.

If we have to solve it for P then it should be called 'Principal' or 'Loan amount'.

If we have to solve it for n then it should be called 'Number of payments' or 'Number of installments'.

Since n is the power of a number we need logarithm to solve it for n.

Answer:

"Principal (loan amount)"

"Term of the loan (in months)" or "Number of monthly payments"

Logarithms

Step-by-step explanation:

Monthly Payment Formula

\(M=\dfrac{Pr\left(1+r\right)^n}{\left(1+r\right)^n-1}\)

where:

M = monthly payment.P = principal loan amount.r = interest rate per month (in decimal form).n = term of the loan (in months).

If we solve for P, the name of the formula is "Principal (loan amount)".

If we solve for n, the name of the formula is "Term of the loan (in months)" or "Number of monthly payments".

When solving for n, we need to use logarithms:

\(\boxed{\begin{aligned}M&=\frac{Pr\left(1+r\right)^n}{\left(1+r\right)^n-1}\\\\M(\left(1+r\right)^n-1)&=Pr\left(1+r\right)^n\\\\\frac{\left(1+r\right)^n-1}{\left(1+r\right)^n}&=\frac{Pr}{M}\\\\1-\frac{1}{\left(r+1\right)^n}&=\frac{Pr}{M}\\\\\frac{1}{\left(r+1\right)^n}&=1-\frac{Pr}{M}\\\\\left(r+1\right)^{-n}&=1-\frac{Pr}{M}\\\\\ln \left(r+1\right)^{-n}&=\ln \left(1-\frac{Pr}{M}\right)\\\\-n\ln(r+1)&=\ln\left(1-\frac{Pr}{M}\right)\\\\n&=\frac{-\ln\left(1-\frac{Pr}{M}\right)}{\ln(r+1)}\end{aligned}}\)

Anyone help me fast 15 points

Anyone help me fast 15 points

Answers

Step-by-step explanation:

Refer to pics...............

Anyone help me fast 15 points
Anyone help me fast 15 points

There are 600 performers in a dance recital. The ratio of men to women is 4:6 many men performers were in the dance recital?

Answers

Answer:

240

Step-by-step explanation:

From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.

Fraction of men at the recital = 4/10

Fraction of women at the recital = 6/10

The number of men performers that were in the dance recital will be:

= 4/10 × 600

= 240 men

Answer: 240 men

Step-by-step explanation:

From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.

Fraction of men at the recital = 4/10

Fraction of women at the recital = 6/10

The number of men performers that were in the dance recital will be:

= 4/10 × 600

= 240 men

Hope it helps

7. A triangle has sides with lengths 7, 24, and 25. (Lesson 4-5)
a. Verify this is a Pythagorean triple.
b. Approximate the acute angles in this triangle.

Answers

A triangle has sides of 7, 24, and 25 cm. The length of the hypotenuse is equal to 25 cm if the triangle is a right triangle.

What are the angles of a 7/ 24/ 25 triangle?

The triangle's sides are 7 cm, 24 cm, and 25 cm, as is obvious.

49, 576, and 625 are the results of squaring the lengths of the side of the.

49 + 576 = 625\s(7)2 + (24)2 = (25)2

As a result, the aforementioned equation satisfies Pythagoras's theorem. As a result, it is a right-angled triangle.

the hypotenuse is 25 cm long.

Angles of 16.26 degrees and 73.74 degrees are suitable.

Yes, since 72+242=252 (sum of squares on smaller two sides equals square on largest side).

The triangle's sides are 7 cm, 24 cm, and 25 cm, as is obvious. 49, 576, and 625 are the results of squaring the lengths of the side of the. As a result, the aforementioned equation satisfies Pythagoras's theorem. As a result, it is a right-angled triangle.

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I need help with c, d and e please

I need help with c, d and e please

Answers

The values of c, d and e are 165,000, 340,000 and 430,000 respectively.

What is Owner's Equity?

Owners equity is defined as the proportion of the total asset value of the company

Owner's equity at the end of the year = (Income for the year - Expenses for the year) + capital invested at the beginning of year.

(A) (a) = (180,000 - 60,000) + 100,000

          = 220,000

(B) (b) = (150,000 - 170,000) + 250,000

          = 230,000

(C) (145,000 - c) + 320,000 = 300,000

145,000 - c = 300,000 - 320,000

145,000 - c = -20,000

c = 145,000 + 20,000

c = 165,000

(D) (d - 200,000) + 700,000 = 840,000

d - 200,000 = 140,000

d = 140,000 + 200,000

d = 340,000

(E) (640,000 - 270,000) + e = 800,000

e = 800,000 - (640,000 - 270,000)

e = 430,000

Hence the values of c, d and e are found.

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Please help!

Find the difference quotient (f(x + h) - f(x))/h where h ne0 , for the function below . f(x) = 2x ^ 2 - 9 Simplify your answer as much as possible .

Answers

The derivative of \(f(x) = 2\cdot x^{2}-9\) is \(f'(x) = 4\cdot x\).

In this exercise we must apply the definition of derivative, which is described below:

\(f'(x) = \lim_{x \to 0} a_n \frac{f(x+h)-f(x)}{h}\) (1)

If we know that \(f(x) = 2\cdot x^{2}-9\), then the derivative of the expression is:

\(f'(x) = \lim_{h \to 0} \frac{2\cdot (x+h)^{2}-9-2\cdot x^{2}+9}{h}\)

\(f'(x) = 2\cdot \lim_{h \to 0} \frac{x^{2}+2\cdot h\cdot x + h^{2}-2\cdot x^{2}}{h}\)

\(f'(x) = 2\cdot \lim_{h \to 0} 2\cdot x + h\)

\(f'(x) = 4\cdot x\)

The derivative of \(f(x) = 2\cdot x^{2}-9\) is \(f'(x) = 4\cdot x\).

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the smallest possible interval between two different sounding pitches is called a half step. true false

Answers

True, a half step is the shortest distance that can exist between two pitch-sounding frequencies. In Western musical notation, a half step is thought to be the shortest interval, or space between two notes.

The smallest musical interval typically utilized in Western tonal music is a semitone, sometimes known as a half step or a half tone. It is described as the space in a 12-tone scale between two neighbouring notes. For instance, there is a semitone's distance between C and C. Any interval in a 12-note scale that is almost evenly divided into semitones can be described in terms of the proper number of semitones, for example, a whole tone or major second is two semitones wide, a major third is four semitones wide, and a perfect fifth is seven semitones wide.

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If each of the 4 shelves holds 14 movies, how many movies does Betty have on her shelving unit?

Answers

Answer:

Step-by-step explanation:

4 x 14= 56

What is the correct answer!

What is the correct answer!

Answers

Answer:

The answer is B.

Step-by-step explanation:

Please let me know if you want an explanation for why this is the answer (comment on this). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!

Select the best answer regarding the effects of Carbon monoxide: a. The affinity between CO and hemoglobin is about the same as oxygen. b. The central chemoreceptors will detect the reduction in oxygen delivered to the cells and will increase their firing rate. c. CO results in less oxygen loading hemoglobin but unloading is not changed. d. A small amount of CO in the air will not reduce arterial PO2 levels enough to be sensed by the peripheral chemoreceptors.

Answers

The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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An 18-foot piece of rope costs $17.82. What is the price per yard?​

Answers

17.82 / 18 = .99

.99 per yard!

if you give me new answer i will give you like
Generate demand for 100 SKUs such that the average number of weeks with zero demand during the two-year span is between 20 and 40, and the square of the coefficient of variation is between 0.30 and 0.85. also ansure that the mean demand for each sku is between 3000 and 8000

Answers

The given conditions, we can use them to simulate inventory levels, forecast sales, and make production and procurement decisions.

To generate demand for 100 SKUs that satisfies the given conditions, we can use a random number generator in Excel.

First, we can generate a random demand value for each SKU using the following formula: =NORM.INV(RAND(),(8000-3000)/2+3000,(8000-3000)/6)

This generates a random demand value from a normal distribution with mean = (8000-3000)/2+3000 = 5500 and standard deviation = (8000-3000)/6 = 833.33, ensuring that the mean demand is between 3000 and 8000.

Next, we can calculate the coefficient of variation (CV) for each SKU using the formula: =STDEV.P(A1:A104)/AVERAGE(A1:A104)

Then, we can use Excel's Goal Seek function to adjust the random demand values until the average number of weeks with zero demand and the square of the CV fall within the specified ranges.

For example, we can set up a table with columns for SKU, demand, CV, and weeks with zero demand. Then, we can use the following steps:

Enter random demand values for each SKU using the formula above.

Calculate the CV for each SKU using the formula above.

Calculate the number of weeks with zero demand for each SKU using the formula: =SUM(IF(A1:A104=0,1,0))

Calculate the average number of weeks with zero demand for all SKUs using the formula: =AVERAGE(D1:D104)

Calculate the square of the CV for all SKUs using the formula: =VAR.P(C1:C104)/AVERAGE(B1:B104)^2

Use Excel's Goal Seek function to adjust the demand values until the average number of weeks with zero demand falls between 20 and 40 and the square of the CV falls between 0.30 and 0.85.

To use Goal Seek, we can go to Data > What-If Analysis > Goal Seek, and set up the following:

Set "Set Cell" to the cell containing the average number of weeks with zero demand.

Set "To Value" to a value between 20 and 40.

Set "By Changing Cell" to the range of cells containing the demand values.

Click OK.

Excel will then adjust the demand values until the average number of weeks with zero demand falls within the specified range. We can repeat this process for the square of the CV until it also falls within the specified range

Once we have generated demand values that satisfy the given conditions, we can use them to simulate inventory levels, forecast sales, and make production and procurement decisions.

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Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.m. with a plan to have a picnic when they meet.
Kiran walks at a speed of 3 miles per hour while Clare walks 3.4 miles per hour.

After one hour, how far apart will they be?

Make a table showing how far apart the two friends are after 0 hours, 1 hour, 2 hours, and 3 hours.

Answers

Answer:

0 hours: 24 miles

1 hours: 17.6 miles

2 hours: 11.2 miles

3 hours: 4.8 miles

Step-by-step explanation:

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adding and subtracting fractions with unlike denominators worksheets pdf

Answers

A simple method for adding and subtracting fractions with unlike denominators:

Find a common denominator: The first step is to find a common denominator that is a multiple of both denominators. The smallest common denominator is usually the least common multiple (LCM) of the two denominators.

Convert the fractions to equivalent fractions with the common denominator: Once you have a common denominator, you can convert each fraction to an equivalent fraction with the same denominator by multiplying the numerator and denominator by the same number.

Add or subtract the numerators: Once both fractions have the same denominator, you can add or subtract the numerators to get the numerator of the resulting fraction.

Simplify the resulting fraction: Finally, simplify the resulting fraction by dividing both the numerator and denominator by their greatest common factor, if possible.

Here is an example:

To add 1/3 + 1/4, we first find a common denominator:

The LCM of 3 and 4 is 12, so we multiply both the numerator and denominator of each fraction by 4 to get 12/12 as the common denominator:

1/3 * 4/4 = 4/12

1/4 * 3/3 = 3/12

Next, we add the numerators:

4/12 + 3/12 = 7/12

Finally, we simplify the fraction:

7/12 = (7 ÷ 1) / (12 ÷ 1) = 7/12.

So the result is 7/12.

 

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What is the name of the green segment in the hyperbola below

Answers

The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.

In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.

The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.

The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.

The blue segment is the conjugate axis, and it is represented by the letters "2b".

Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.

If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.

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MATH QUESTION: Julie bought a bag of parsnips that weighed 4 2/7 pounds. She also bought a bag of turnips that weighed 1 1/3 times as much as the parsnips. How many pounds of turnips did Julie buy? Express your answer as a simplified mixed number.

Answers

Answer:

5 5/7

Step-by-step explanation:

Convert it to fractions:

30/7 and 4/3

Now multiply.

120/21

Simplify it:

5 5/7

Identify the zero(s) of \(f(x)=4x^{2} - 20x - 56\). -- Urgent 10 minutes! Many points!

Answers

Answer:

x = - 2, x = 7

Step-by-step explanation:

Given

f(x) = 4x² - 20x - 56

To find the zeros let f(x) = 0, that is

4x² - 20x - 56 = 0 ( divide through by 4 )

x² - 5x - 14 = 0 ← in standard form

(x - 7)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 7 = 0 ⇒ x = 7

Alex can run 26 miles in 6 hours, Bethany can run 26 miles in 5 hours and Carol can run 26 miles in 4 hours. If they start together and each run at their constant speeds, how many hours does it take for them to finish a total of 26 miles among the three of them

Answers

It takes approximately 86.67 hours for Alex, Bethany, and Carol to collectively finish a total of 26 miles. This is determined by calculating the harmonic mean of their individual running speeds.


To determine how many hours it takes for Alex, Bethany, and Carol to collectively run a total of 26 miles, we need to consider their individual running speeds. Alex runs at a rate of 26 miles in 6 hours, Bethany runs at a rate of 26 miles in 5 hours, and Carol runs at a rate of 26 miles in 4 hours.

To find the total time it takes for them to finish 26 miles together, we can calculate the harmonic mean of their individual running speeds. The harmonic mean is used because it accounts for the different rates at which they run.

The formula for the harmonic mean is given by:

Harmonic Mean = Total Distance / (1 / Speed1 + 1 / Speed2 + 1 / Speed3)

Substituting the values, we have:

Harmonic Mean = 26 / (1 / 6 + 1 / 5 + 1 / 4)

To simplify the equation, we find the common denominator:

Harmonic Mean = 26 / ((5 + 6 + 7) / 60)

Harmonic Mean = 26 / (18 / 60)

Harmonic Mean = 26 / (3 / 10)

Harmonic Mean = 26 * (10 / 3)

Harmonic Mean ≈ 86.67

Therefore, it takes approximately 86.67 hours for Alex, Bethany, and Carol to collectively finish a total of 26 miles.

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a lambert quadrilateral can be "doubled" to form a saccheri quadrilateral; a saccheri quadrilateral can be "halved" to form a lambert quadrilateral.
T/F

Answers

True. A lambert quadrilateral can be "doubled" to form a saccheri quadrilateral; a saccheri quadrilateral can be "halved" to form a lambert quadrilateral. So, the statement is true.

A Lambert quadrilateral is a type of quadrilateral that has three right angles and one acute angle.

To double a Lambert quadrilateral means to construct a new quadrilateral with twice the area but with the same shape.

This can be done by drawing a line through the acute angle of the original quadrilateral and constructing a new square on each side of the line.

The resulting shape is a Saccheri quadrilateral, which has two right angles and two acute angles.

To halve a Saccheri quadrilateral means to construct a new quadrilateral with half the area but with the same shape.

This can be done by drawing a line through one of the acute angles of the original quadrilateral and constructing a new square on one side of the line. The resulting shape is a Lambert quadrilateral.

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If the consecutive interior angles formed by two lines and a transversal are supplementary, the lines are parallel.

Answers

When two lines are intersected by a transversal, several angles are formed. The consecutive interior angles are the pair of angles that are on the same side of the transversal and inside the two lines. If these consecutive interior angles are supplementary, meaning their measures add up to 180 degrees, then it can be concluded that the two lines are parallel.

To understand why this is true, we need to consider the properties of parallel lines and transversals. When two lines are parallel, any transversal that intersects them forms a set of corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles. These angle relationships have specific properties.

If the consecutive interior angles formed by a transversal and two lines are supplementary, it means that the sum of their measures is 180 degrees. This implies that the two lines are not intersecting or converging at any point. If they were not parallel, they would eventually meet at some point, and the sum of their consecutive interior angles would be greater than 180 degrees.

By the converse of the Corresponding Angles Postulate or the Alternate Interior Angles Theorem, if the consecutive interior angles formed by a transversal and two lines are supplementary, then the lines must be parallel. This is because if the lines were not parallel, these angle relationships would not hold true.

In conclusion, if the consecutive interior angles formed by two lines and a transversal are supplementary (add up to 180 degrees), it can be deduced that the lines are parallel.

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I would greatly appreciate the help of these two questions!!
Please hurry? :')

I would greatly appreciate the help of these two questions!!Please hurry? :')
I would greatly appreciate the help of these two questions!!Please hurry? :')

Answers

Answer:

b

Step-by-step explanation:

Δ QRP and Δ XRY are similar, thus ratios of corresponding sides are equal, that is

\(\frac{XY}{QP}\) = \(\frac{RY}{RP}\) , substitute values

\(\frac{XY}{4}\) = \(\frac{4}{8}\) ( cross- multiply )

8XY = 16 ( divide both sides by 8 )

XY = 2

What is the equation of the line that passes through the point (-5,-3)and has a slope of -3/5 ?

Answers

Answer: y = -3/5x - 6

Step-by-step explanation:

There are a few equations that can be used for this, but the simplest one would be y = mx + b

We are given:

y = -3

m = -3/5 (slope)

x = -5

b = ?

Our equation is this, we are solving for b

==> -3 = -3/5 ( -5) + b

==> -3 = -3/5 ( -5) + b ( multiply the brackets)

==> -3 = 3 + b ( subtract 3 to both sides)

==> -6 = b

Now we can make the desired equation in slope intercept form;

y = -3/5x - 6

Hope this helped! Have a great day :D

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Answers

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How can you change the dimensions of the rectangle so that the ratio of the length to the width stays the same, but the perimeter is 185 centimeters? l=25cm h=12cm

Answers

Answer:

Width= 30

Length= 62.5

Step-by-step explanation:

First we simplify the length to width ratio

25/12=

2 1/12 ratio of length to width

width=x

length=2 1/12x

Make the equation for this ratio's perimeter being equal to 185

2(2 1/12x) + 2(x)=185

Solve for x

4 1/6x +2x=185

6 1/6x=185

x=30

Substitute the answer in for x to find the length and width

Width= 30

Length= 2 1/12(30)

Length= 62.5

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