Please help with this question. Giving brainliest

Please Help With This Question. Giving Brainliest

Answers

Answer 1

Answer:

m∠1 = (180 - 110)° = 70°

m∠2 = (180 - 115)° = 65°

m∠3 = 115°

m∠4 = m∠2 = 65°

m∠5 = (180 - (65 + m∠1))° = 45°

m∠6 = m∠5 = 45°

m∠7 = m∠6 = 45°


Related Questions

what common side do △ADE and △BED share?

Answers

Answer:

ED

Step-by-step explanation:

They both have side ED in their triangles!

Find the simple interest:
Principal: $1,750
Interest Rate: 2%
Time: 9 years

Answers

3150 don’t take my word for it

1750 x 0.2 = 350

350 x 9=3150

an area of 10 square inches. Estimate the value to five decimal places.

Answers

Answer: sqrt 10

Step-by-step explanation:

3.16227...

The slope of a line is the rate of change in the y-coordinates (rise) to the corresponding change in the x-coordinates (run) for points on the line.

True false question.
True
False

Answers

Answer: True

Step-by-step explanation:

The slope is the rate of change, to find it, you can get rise/run or use the equation y2 - y1 / x2 - x1

So it is true!

The answer is true u can tell by the y -

A C Which are the solutions of x² + 81 = 0 ? B x = +40i D X = +80i X = +9i X = +9 A​

Answers

Solution for the equation x² + 81 = 0 is x =  ± 9i.

What is an equation ?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

x² + 81 = 0

To find the solution of the given equation,

Simplify the equation,

x² = -81

x = √-81

x = ±9√-1

Since, i = √-1

x = ± 9i

The solution for the given equation is x =  ± 9i.

To know more about Equation on:

brainly.com/question/187506

#SPJ1

A line passes through point (-5,-1) and has a slope of -3.

Write an equation in Ax+By=C form for this line.
Use integers for A,B, and C.

Answers

Answer:

y+3x=-16

Step-by-step explanation:

y=mx+c

y=-3x+c

-3x is the gradient

-5 is the x value and -1 is the y value

-1=-3x-5+c

-1=15+c

-16=c

y=-3x-16

y+3x=-16

Write the coordinate rule for a dilation by a scale factor of 4 centered at the point (5,
-8).

Answers

Answer: use a graf

Step-by-step explanation:

find the negative numbers and positive number

Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest, compounded monthly. How much interest did she gain in 4 years?

Answers

Using the formula of compound interest, the amount accumulated over 4 years is $15,849.46

Compound Interest

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period. In Mathematics, compound interest is usually denoted by C.I.

The formula is often given as;

C.I = P(1 + r/n)^nt

C.I = Compound InterestP = principal r = raten = number of times compoundedt = time

Substituting the values into the formula

C.I = 200(1 + 0.0105/12)^12*4

However, over the period of 4 years, the Principal becomes

Principal = 200 * 4 * 12 = 9600

Rate = 1.05 * 12 = 12.6

C.I = 9600(1 + 12.6/12)^12 * 4

C.I = $15,849.46

Learn more on compound interest here;

https://brainly.com/question/25297315

#SPJ1

In a fish tank, 4/9 of the fish have a red stripe on them. If 12 of the fish have red stripes, how many total fish are in the tank?

Answers

Answer: If 4/9 of the fish have a red stripe, we can determine the total number of fish in the tank by dividing the number of fish with red stripes by the fraction of fish with red stripes. This gives us 12 / (4/9) = 12 * (9/4) = 27 fish. So, there are 27 fish in the tank.

[tex] \frac{4}{9} x = 12[/tex]

[tex]x = 12 \times \frac{9}{4} [/tex]

[tex]12 \times 9 = 108[/tex]

[tex]4 \times 1 = 4[/tex]

[tex]x = \frac{108}{4} [/tex]

[tex]x = 27[/tex]

There are 27 fish in the tank. Hope this helps.

Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a
standard deviation of 4.5 inches.
Calculate the range of horn lengths for the middle 95% of Texas Longhorn cattle. Show your work or
explain how you got your answer.

Answers

The range of horn lengths for the middle 95% of Texas Longhorn cattle is (51 inches, 69 inches)

What is a normal distribution?

A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution.

Here, we have

Given:

Horn lengths of texas longhorn cattle are normally distributed

The mean horn spread:  μ = 60 inches

With a standard deviation:  σ = 4.5 inches

According to the normal distribution, the range for the middle 95% of the values is: (μ  - 2σ,  μ + 2σ)

Replacing the given values:

(60 inches  - 2(4.5 inches), 60 inches + 2(4.5 inches))

(60 inches  - 9 inches, 60 inches + 9 inches)

(51 inches, 69 inches)

Hence, the range of horn lengths for the middle 95% of Texas Longhorn cattle is (51 inches, 69 inches)

To learn more about the normal distribution from the given link

https://brainly.com/question/4079902

#SPJ1

Name the property of a quality that justifies this statement

If m



A. Transitive property

B. Symmetric property

C. Reflexive property

D. Subtraction property

Answers

Subtraction property will satisfy given inequality option D.

Let's understand what is the Subtraction property

By balancing an equation with the same mathematical operation on both sides, the term "subtraction property of equality" is used.

Given inequality m< A + M <B = M<C. if we subtract both side equal value then we will get M<A = M<C - M<B. then we will get this result

or we can do cross-verify all other option

Transitive-According to the transitive property, "all the quantities are equal to each other if two quantities are equal to the third quantity."

Symmetric-Actually quite straightforward, equality has the symmetric property. According to this property, if a = b, then b must also be a. In other words, even if two equations' sides are switched, the.

Reflexive - It is said that a number is always equal to itself because of the reflexive property of equality. The equality's reflexive quality. If a is a number, then. a = a. a=a.

So here we can see option D is most probable solution for given inequality.

Given Question is incomplete complete Question here

Name the Property of Equality that justifies the statement:

If m< A + M <B = M<C.

Then, M<A = M<C - M<B

Transitive Property

Symmetric Property

Reflexive Property

Subtraction Property

To know more about Mathematical property here

https://brainly.com/question/28274212

#SPJ4

Marisa buys a car for $20,000. The car depreciates at a rate of 12% per
year. Which equation shows the value of Marisa's car over a period of x
years?

Answers

[tex]A = 20,000 (1-0.12)^x[/tex] this equation shows the value of Marisa's car over a period of x years. Using the concept of depreciation we get this -

What is depreciation?

Depreciation is an accounting technique for spreading out the expense of a tangible item over the course of its useful life. Depreciation is a measure of how much an asset has been utilized for. It enables businesses to purchase assets over a predetermined length of time and generate income from those assets.

Given that,

Marisa buys a car for $20,000 = P

depreciates at a rate of 12% per year = r

and t is the for the time period.

As we know,

[tex]A = P (1-r)^t[/tex]

Where, A is the value of object after x period of time.

The value of Terrence's car after x years is:

[tex]A = 20,000 (1-0.12)^x[/tex]

Hence, the value of Marisa's car after x years is: [tex]A = 20,000 (1-0.12)^x[/tex]

To know more about depreciation refer to:

https://brainly.com/question/1203926

#SPJ1

Answer:f(x)=20,000(.12)^x

Step-by-step explanation:

took test

For the cards shown below what is the probability of choosing yellow card and then a 1 if the first card is replaced before the second card is drawn?

Answers

The study of probability is a field of mathematics that focuses on determining the possibility that an event will occur.

Describe probability..?"Finding the likelihood of the occurrence of an event" is the focus of the mathematical discipline known as probability.Formula of the probability of an event A is: [tex]P(A) = \frac{n(A)}{n(S)}[/tex]where [tex]n(A)[/tex] is the number of favorable outcomes[tex]n(S)[/tex] is the total number of events in the sample space.Given: a deck of cards with 2 red cards and 3 yellow cardsTotal cards = 5First we find the probability of choosing red cards.The probability of choosing one red card is 2/5.

To learn more about probability refer to:

https://brainly.com/question/9304381

#SPJ1

Andy goes shopping with his friend Silvio, an exchange student from Brazil. Silvio wants to know what everything costs in
Brazilian reals. He knows 1 American dollar is equivalent to 2 Brazilian reals. Let x represent American dollars and y represent Brazilian reals. This situation is graphed below. Which equation represents this situation?

A) y=-2x
B) y=4x
C) y-2x
D) y=1/2x

Answers

Answer:

Step-by-step explanation:

answer is b

Skylar bought 30 movie ticket for a total of $200. Adult ticket cot 58 each, child ticket cot $3. 50 cach, and enior ticket cot $6 each. He bought twice the number of adult ticket than the number of child and enior ticket combined. How many of each type of ticket did Skylar buy?

Answers

He spent $200 on 0 tickets for children, 10 tickets for adults, and 20 tickets for seniors.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here,

Total number of tickets brought=30

Total amount paid=$200

Cost of kid ticket=$3.5

Cost of adult ticket=$8

Cost of senior ticket=$6

Let x, y, z be the number of tickets brought for kid, adult, senior.

x+y+z=30

3.5x+8y+6z=200

2y=x+z

x+y+z=30

3y=30

y=10

x+z=20

z=20-x

3.5x+80+6(20-x)=200

3.5x+80+120-6x=200

2.5x=0

x=0

z=20

He bought 0 tickets for kid, 10 tickets for adult and 20 tickets for senior with an amount of $200.

To know more about equation,

https://brainly.com/question/649785

#SPJ4

what is the product of 73 and 4.4 x 10^6 expressed in scientific notation

Answers

Answer:

321.2 * 10^6

Step-by-step explanation:

First at all:

4.4 x  10^6 = 4.400.000

Then 73 * (4,4 x 10^6) = 73* 4.400.000

(73)*(4.400.000) = 321.200.000

In scientific notation:

321.2 * 10^6

Your parents are saving up for a fun vacation at Disney. They have figured out it will
cost them a total of $3,400. If they already have $1,500 and plan on saving for the next
6 months, how much will they need to save each month to have at least enough money for
the trip? Write and solve an inequalit. Interpret your solution in sentence form.

Answers

A total of $316.67 has to be saved per month for the vacation at Disney.

What is equation modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.

Given is that your parents are saving up for a fun vacation at Disney. They have figured out it will cost them a total of $3,400. They have already saved $1,500 and plan on saving for the next 6 months,

Assume that they will have to save $x every month. So we can write the inequality as -

6x ≥ (3400 - 1500)

6x ≥ 1900

x ≥ (1900/6)

x ≥ 316.67

Therefore, your parents will have to save a total of $316.67 per month for the vacation.

To solve more questions on equation modelling, visit the link below -

brainly.com/question/4252814

#SPJ1

What is the slope of the line that passes through (-5,6) and (-2,4)

Answers

The slope of the line that passes through the given points (-5, 6) and (-2, 4) as required in the task content is; -2 / 3.

What is the slope of the line that passes through the given points; (-5,6) and (-2,4)?

It follows from the task content that the slope of the line that passes through the given points; (-5,6) and (-2,4) be determined as required.

On this note, since the slope, otherwise termed the average rate of change is given by the formula;

Slope, m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Therefore, given the points; (-5, 6) and (-2, 4), the required slope of the line is;

m = ( 4 - 6 ) / ( -2 - (-5) )

m = -2 / (-2 + 5)

m = -2 / 3

Therefore, the required slope of the line which passes through the given points is; -2 / 3.

Read more on slope of the line;

https://brainly.com/question/28645794

#SPJ1


64/8 I’m the simplest form

Answers

Answer:

8

Step-by-step explanation:

The first step would be to determine if both the numerator and the denominator have a highest common factor. If they do, then the number can be simplified into a smaller fraction. Here, the denominator can be fully divided out by 64 to make the whole number 8

Find (2) (-3)
Help, help , help , help

Answers

Answer:

-6

Step-by-step explanation:

-6

Express the radical using the imaginary unit, ¿.
Express your answer in simplified form.
√-18 = ±

Answers

Answer: √-18 = 3√2 i

Because i is √-1 so think like √18 x √-1 which means √18 i so answer is 3√2 i

solve for m,n, and p.

Answers

The measure of angle n is 73°, the measure of angle m is 51° and the line p measures 24 cm.

What is midpoint theorem?

The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side.

From the given figure, n is the midpoint of one side of the quadrilateral and m is the midpoint of other side of the quadrilateral.

Pair of opposite sides are parallel

Since, m and n are midpoints on two sides of quadrilateral, so the line passes through the midpoints is parallel to other two sides

Then, ∠n =73° and ∠m =51°

p = 1/2 ×48

⇒ p =24 cm

Therefore, the length of line p is 24 cm.

Learn more about the midpoint theorem here:

https://brainly.com/question/28667736.

#SPJ1

Edward did the following work to solve a system shown below. What does his answer mean?

Answers

Answer:

see explanation

Step-by-step explanation:

After solving a system of equations.

the solution is

36 = 32 ← not possible

the fact that we have 36 = 32, an impossible equation, means that the system has no solution.

Given \qquad m \angle ABDm∠ABDm, angle, A, B, D is a straight angle. \qquad m \angle CBD = 8x + 16^\circm∠CBD=8x+16 ∘ m, angle, C, B, D, equals, 8, x, plus, 16, degrees \qquad m \angle ABC = 6x - 60^\circm∠ABC=6x−60 ∘ m, angle, A, B, C, equals, 6, x, minus, 60, degrees Find m\angle ABCm∠ABCm, angle, A, B, C:

Answers

The value of measure m∠ABC will be 24°.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

As per the given m∠ABD is a straight angle.

m∠ABD = 180°

m∠ABC  + m∠CBD = m∠ABD

6x - 60 + 8x + 16 = 180°

14x - 44 = 180

14x = 224

x = 14

Thus, m∠ABC = 6(14) - 60 = 24°

Hence "Measure ∠ABC will equal 24° in value".

For more about the angle,

brainly.com/question/13954458

#SPJ1

The correct question below,

2, 10, 18,...
Find the 31st term.

Answers

EASY ITS :And now, the nations of the worldBrought to you by Yakko WarnerUnited States, Canada, Mexico, PanamaHaiti, Jamaica, PeruRepublic Dominican, Cuba, CaribbeanGreenland, El Salvador tooPuerto Rico, Colombia, Venezuela, Honduras, Guyana, and stillGuatemala, Bolivia, then ArgentinaAnd Ecuador, Chile, BrazilCosta Rica, Belize, NicaraguaBermuda, Bahamas, Tobago, San JuanParaguay, Uruguay, SurinamAnd French Guiana, Barbados, and GuamNorway, and Sweden, and Iceland, and FinlandAnd Germany, now in one pieceSwitzerland, Austria, CzechoslovakiaItaly, Turkey, and GreecePoland, Romania, Scotland, AlbaniaIreland, Russia, OmanBulgaria, Saudi Arabia, HungaryCyprus, Iraq, and IranThere's Syria, Lebanon, Israel, JordanBoth Yemen's, Kuwait, and BahrainThe Netherlands, Luxembourg, Belgium, and PortugalFrance, England, Denmark, and SpainIndia, Pakistan, Burma, AfghanistanThailand, Nepal, and BhutanKampuchea, Malaysia, then Bangladesh, AsiaAnd China, Korea, JapanMongolia, Laos, and Tibet, IndonesiaThe Philippine Islands, TaiwanSri Lanka, New Guinea, Sumatra, New ZealandThen Borneo, and VietnamTunisia, Morocco, Uganda, AngolaZimbabwe, Djibouti, BotswanaMozambique, Zambia, Swaziland, GambiaGuinea, Algeria, GhanaBurundi, Lesotho, and Malawi, TogoThe Spanish Sahara is goneNiger, Nigeria, Chad, and LiberiaEgypt, Benin, and GabonTanzania, Somalia, Kenya, and MaliSierra Leone, and AlgiersDahomey, Namibia, Senegal, LibyaCameroon, Congo, ZaireEthiopia, Guinea-Bissau, MadagascarRwanda, Mahore, and CaymanHong Kong, Abu Dhabi, Qatar, YugoslaviaCrete, Mauritania, then TransylvaniaMonaco, Liechtenstein, Malta, and PalestineFiji, Australia, Sudan

Similar Triangles Sorting Activity 1 (be sure each pair of triangle is in the right column)


Similar Triangles


*sorting mat*


Similar Triangles


NOT Similar Triangles

Answers

The triangle pair that is similar from the given pair is "Triangle Pair 2" .

In the question ,

four triangle pairs are given ,

we have to select the triangle pair that is similar ,

In triangle Pair 2 ,

In triangle BAD and triangle BCD ,

angle A = angle C     ....given ,

side BD = side BD   ......because common side

side AD = side BC     ....because opposite side of parallelogram are equal.

So , the triangle BAD is congruent to triangle BCD ,

So , the triangle pair 2 is congruent .

Therefore , the correct option is (b) Triangle Pair 2   .

The given question is incomplete , the complete question is

Similar Triangles Sorting Activity , Which triangle pair shows similar triangles ?

(a) Triangle Pair 1

(b) Triangle Pair 2

(c) Triangle Pair 3

(d) Triangle Pair 4

Learn more about Similar Triangles here

https://brainly.com/question/29122030

#SPJ4

A virus reproduces by tripling every half hour. If a single virus gets into your system and continues at this rate, how much of it will be in your system after a 24-hour period. (hint: there would be two instances of tripling after the first hour)

Answers

In 24-hour period there will be 94143178827 virus in system.

What is geometric Sequence?

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given:

A virus reproduces by tripling every half hour.

In start the virus is 1.

After half an hour, virus= 3

After one hour= 9 virus

After 1 1/2 hour= 27

We get a geometric Sequence

1, 3, 9, 27, 81, ....

Using

[tex]a_n = a_1 (r)^{n-1[/tex]

[tex]a_{24} = 1 ( 3/1)^ {23[/tex]

[tex]a_{24[/tex] = 94143178827

Hence, In 24-hour period there will be 94143178827 virus in system.

Learn more about geometric Sequence here:

https://brainly.com/question/11266123

#SPJ1

solve for C
7(c-12)=-21

Answers

Answer: c=9                                                            

Step-by-step explanation:

Answer the statistical measures and create a box and whiskers plot for the following set of data.
1, 3, 3, 5, 6, 6, 6, 7, 7, 10, 10, 11, 14
1,3,3,5,6,6,6,7,7,10,10,11,14

Answers

For the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

What is box and whiskers plot?

Box and whiskers plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

The minimum and the maximum values in the box plot is plotted at the end points.

The following set of data which i s given in the problem.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

Min: 3

The minimum value in the given data is 3. Thus, the min is 3.

Q1:6

First quartile appears at 6. Thus, the value of Q1 is 6.

Med:12

The middle value of the given data is 12 which appears at the center of all the values. Thus the med is 12.

Q3:14.5

Second quartile appears at 14.5. Thus, the value of  second quartile Q2 is 6.

Max: 17

The minimum value in the given data is 17 as shown in the image attached below. Thus, the min is 17.

Hence, for the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

The complete question is : Answer the statistical measures and create a box and whiskers plot for the following set of data. You may optionally click and drag the numbers into numerical order.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

3,4,5,6,6,7,7,12,13,14,14,15,15,16,17

Min:

Q1:

Med:

Q3:

Max:

To learn more about box and whiskers plot refer to :

https://brainly.com/question/19969646

#SPJ1

What is the product of 9 and 8√90 in simplest radical form?

Answers

Simplest Radical Form of the given question is [tex]216\sqrt{10}[/tex].

What is a Radical?

An phrase that has a root, typically a square or cube root, is referred to as a radical.

The radical consists of three separate parts:

Radicand :This is the one whose root you are discovering.

A radical equation is one that contains the square root, or at least one other variable expression, inside a radical.

Degree: It expresses the degree of radicand multiplication. If a number appears on the root symbol but is absent, it is taken to be 2. (square root).

Symbol: Usually √

Calculation:

Given

[tex]9,8\sqrt{90}\\ 9*8\sqrt{90}=9*8\sqrt{9*10}=9*8*3\sqrt{10} \\=216\sqrt{10}[/tex]

Simplest Radical Form of the given question is [tex]216\sqrt{10}[/tex].

To refer more about Radicals, visit:

https://brainly.com/question/28519153

#SPJ1

Other Questions
What did the nationalist movements of China, India and turkey have in common? Check all that apply biological magnification is a natural process when a persistent material is taken-up by primary producers because: How is a president with power and energy not only important to good government but also critical to protecting the rights of the people?. a mixture of gases contains 315 torr n2, 275 torr o2, and 285 torr ar. what is the mole fraction of n2 in this mixture? in 2020, what percentage of those polled said they would vote for a qualified woman presidential candidate? send help i need help please whta is the answer Select from the drop-down menu to correctly complete the statement. The product of 7 and 5/8 is Choose... because 5/8 is less than 1. 16x9y88x11 what is the solution In a paragraph using the documents Describe the historical context of the issue of slavery in terms of westward expansion Identify one effort to address the issue by the Federal Government in terms of the compromises.Enrichment Evaluate the success or failure of the effort After collecting, analyzing, and interpreting data to draw conclusions and make recommendations, you are ready to organize your report into a logical framework. Apply an appropriate organizational strategy to your data and provide cues to your readers to help them follow the logic of the report. When you are writing a short informational report for your team, an indirect/direct organizational pattern is most appropriate. This treatment for conduct disorder combines both cognitive-behavioral and family interventions, with the goal of improving family functioning and helping parents become more effective in dealing with their children.parent management training Another brand of sheets is on sale 30% off with a regular price of $18.00 per sheet. Which is a better deal, the previous example or this one? Explain. (2 points) 30% OFF EACH SHEET! An arithmetic sequence has a 2nd term of -2 and a 7th term of 18. 1. What is the 10th term in the sequence? 2. Write an explicit formula for the sequence. 3. Write a recursive formula for the sequence. 4. What is the sum of the first 10 terms? The graph of the relationships ( dogs,cost) is a line that contains the points(0,0) (3,12) and (6,24). What is the constant of proportionality? An individual is teaching a class on Excel macros. The individual plans to break the class up into groups of 3 and wants each group to have a different exercise to practice on. Solve for the dependent variable (y) if the independent variable is 15. A group of 8 students was asked, "How many hours did you watch television last week?" Here are their responses.7,5, 4, 5, 9, 8, 11, 7Find the median and mean number of hours for these students.If necessary, round your answers to the nearest tenth. How much money has to invested at 4.3% interest compounded continuously to have $19,000 after 16 years?A. $ 9549.02B. $ 9584.15C. $ 9618.91D. $ 9560.77 Daniela noticesa pattern in her scrapbook. The leaves on the first pageare green. The second page has yellow leaves. The thirdpage has green leaves. The next page has yellowleaves. Is this a repeating or growing pattern for the previous 4 hours, a client in labor has been experiencing hypertonic labor as documented by the primary health care provider. the nurse recognizes which findings to be characteristic of this type of labor? select all that apply. our school's girls volleyball team has $14$ players, including a set of $3$ triplets: alicia, amanda, and anna. in how many ways can we choose $6$ starters with no restrictions? (the triplets are treated as distinguishable.)