Figure M and it’s congruent image, figure N, are graphed on the coordinate plane below.


Describe a sequence of transformations that will take figure M onto its congruent image, figure N.


EXPLAIN THE ANSWER!!

Figure M And Its Congruent Image, Figure N, Are Graphed On The Coordinate Plane Below.Describe A Sequence

Answers

Answer 1

The reflection over the line y = x - 3 will take figure M onto its congruent image, figure N.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

As we can see in the graph there are two shapes are shown.

Figure M and Figure N

The sequence of transformations that will take figure M onto its congruent image, figure N is:

First, we need to draw a line that passes through (3, 0) and (0, -3)

The equation of the line is:

[tex]\rm y+3=\dfrac{\left(-3\right)}{-3}\left(x\right)[/tex]

y + 3 = x

y = x - 3

The reflection over the above line will take figure M onto its congruent image, figure N.

Thus, the reflection over the line y = x - 3 will take figure M onto its congruent image, figure N.

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Figure M And Its Congruent Image, Figure N, Are Graphed On The Coordinate Plane Below.Describe A Sequence
Figure M And Its Congruent Image, Figure N, Are Graphed On The Coordinate Plane Below.Describe A Sequence

Related Questions

What does the ratio 6 to 8 represent in the situation?

Answers

Answer:

its 80

Step-by-step explanation:

the ratio is 80 hope this helps!

Someone explain the equation

Answers

Answer:

An equation connects two expressions with an equal sign. It shows that the two expressions are equal to each other, like 5 = 5, or for variables, 5x = 2x, which means that x = 0.

Brainliest, please :)

Answer:

An equation is a problem consist sting of many numbers mostly division or mulitiplication

Step-by-step explanation:

what is the fraction 2500 of 3600

Answers

Answer:

25/36

Step-by-step explanation:

put 2500 over 3600 and you get 2500/3600 but you can simplify to get 25/36 but removing the 0's

Write each of the following numerals in base 10. For base twelve, T and E represent the face values ten and eleven, respectively.
a. 421 five
b. 11101 two
c. 13Ttwelve

Answers

(a)

421₅ = 4×5² + 2×5¹ + 1×5⁰

… = 100 + 10 + 1

… = 111

(b)

11101₂ = 1×2⁴ + 1×2³ + 1×2² + 0×2¹ + 1×2⁰

… = 16 + 8 + 4 + 0 + 1

… = 29

(c)

13T₁₂ = 1×12² + 3×12¹ + 10×12⁰

… = 144 + 36 + 10

… = 190

You buy a CD for $9000 that earns $172.92 in interest every 2 months. What is the
annual yield on your investment?

Answers

Answer:

$4,000.343

Step-by-step explanation:

Divided the months of the year and caculate the intrest.

find the measure of angle ACB​

Answers

Answer:

angle ACB=45º

Step-by-step explanation:

angle 135º lies on a straight line

a straight line = 180º

thus, angle ACB= 180-135=45º

Based on the circle graph,how many pounds of milk and eggs does the average American consume each year?PLEASE EXPLAIN IMAGE IS PROVIDED
E.300
F.368
G.460
H.552

Answers

About 492 pounds of milk and egg were consumed each year

Pie charts and percentages

Given the following parameters from the chart

Total consumption = 1640 pounds per person

The percentage of milk and egg = 100 -(38 + 10 + 10 +8 + 4)

The percentage of milk and egg = 30%

Determine the amount consumed each year

Amount of milk and egg consumed = 30% of 1640

Amount of milk and egg consumed = 492 pounds

Hence about 492 pounds of milk and egg were consumed each year

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dollars per pint
pints per dollar.

Find the unit rates. If necessary, round your answers to the nearest hundredth.
$6.79 for 16 pints

Answers

Answer:

0.42 dollar per pint

2.36 pints per dollar

Olympic Enterprises has the following inventory data: Assuming average cost, what is the cost of goods sold for the June 14 sale?

Answers

Assuming average cost of $55.5, the cost of goods sold by Olympic Enterprises for the June 14 sale is equal to $444.

How to calculate cost of goods?

In Financial accounting, the cost of goods sold for a business firm can be calculated by multiplying the total quantity of goods by an average cost. Mathematically, this is given by:

Cost of goods = quantity × average cost

Note: We would assume an average cost of $55.5.

Substituting the parameters into the formula, we have:

Cost of goods sold = 8 × 55.5

Cost of goods sold  = $444.

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Help is needed with this math problem!

Answers

Answer:

expression for (g + h)([tex]x\\[/tex]) = [tex]2x[/tex] + [tex]3x^2\\[/tex] and for (g - h)([tex]x[/tex]) = [tex]2x[/tex] - [tex]3x^2[/tex]

value of (g .h)(2) = 24

Step-by-step explanation:

function operations: Functions with overlapping domains can be added, subtracted, multiplied and divided. If f(x) and g(x) are two functions, then for all x in the domain of both functions we can find the sum, difference, product and quotient

given :

g([tex]x[/tex]) = [tex]2x[/tex]

h([tex]x[/tex]) = [tex]3x^2[/tex]

we know that ;

(g + h)([tex]x[/tex]) = g([tex]x[/tex]) + h([tex]x[/tex])

              =  [tex]2x[/tex]  + [tex]3x^2[/tex]

similarly;

(g - h)([tex]x[/tex]) = g([tex]x[/tex]) - h([tex]x[/tex])

             =  [tex]2x[/tex] - [tex]3x^2[/tex]

now,  

(g . h)([tex]x[/tex]) = 2([tex]3x^2\\[/tex])

             = 6[tex]x^2\\[/tex]

for (g .h)(2) = 6([tex]2^2[/tex])

                  = 6 × 4

                  = 24

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Study each of the growing geometrical patterns. Then do the following for each pattern. (I) Give a verbal description of how the pattern is growing. (ii)Set up a table of values.(III) Write down a numerical description for each pattern (you must relate the number of the frame to the number of figures in the frame). (IV) For each pattern, write down a formula that can be used to calculate the number of building blocks in any term. (v) Write down the value of the 10th frame. Use your formula to determine how many building blocks there are in the 100th frame of each growing pattern. M M Δ Δ Δ 2 (6) (6) (8) [40]​

Answers

A description of how the pattern is growing is that the pattern is growing by the addition of two blocks every time.

How to illustrate the pattern?

A numerical description of the pattern is:

1 - 2 blocks.

2 - 4 blocks.

3 - 6 blocks

4 - 8 blocks.

The formula that can be used to calculate the number if building blocks in any term will be 2n. For example, the number of blocks for the 5th term will be:

= 2n = 2 × 5 = 10

The value for the 10th frame will be:

= 2n

= 2 × 10 = 20

The value for the 100th frame will be:

= 2n

= 2 × 100 = 200

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whats the answer? :(

Answers

Answer:

D) 8[tex]\frac{1}{2}[/tex]

Step-by-step explanation:
5[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex] = 8[tex]\frac{1}{2}[/tex]

Step 1: Choose the lowest common denominator.
02 03 04 05 06 08 010 012
3/4
50/80
O
Find the sum: -and
The expression written in equivalent form with a
common denominator is
The sum is

Answers

The expression written in equivalent form with a common denominator is -1/6

Adding fractions

Fractions are written as ratio of two integers. For instance a/b is a fraction.

Given the sum of the fractions shown;

-3/4 and 5/8

Sum = -3/4 + 5/8

Sum = 5/8 - 3/4

Sum = 5-6/8

Sum  = -1/8

Hence the sum of the given fraction -1/3 and 5/8 is -1/6

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David throws a ball up in the air. The graph below shows the height of the ball hh in feet after tt seconds. What is the ball’s greatest height?

HELP ASAP!

Answers

The greatest height is 9 feet.

What is projectile?

A projectile is any object thrown into space upon which the only acting force is gravity.

As, from the graph we can see that

The highest point the ball reaches shown by the coordinates (0.75, 9)

As, the maximum height is shown by y- axis(vertical axis).

Hence, the greatest height is 9 feet.

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What is the value of the expression

(12+x) +
4+x


when X= 4 and y=-8?

OA) 4

OB)

OC)

OD 10

Answers

Step-by-step explanation:

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The value of the expression x

4

−8x

3

+18x

2

−8x+2, when x=2+

3

, is:

Medium

Solution

verified

Verified by Toppr

Correct option is B)

Let f(x)=x

4

−8x

3

+18x

2

−8x+2

Substituting x=2+

3

, we get

f(2+

3

)=(2+

3

)

4

−8(2+

3

)

3

+18(2+

3

)

2

−8(2+

3

)+2

=(2+

3

)

2

((2+

3

)

2

+18)−8(2+

3

)((2+

3

)

2

+1)+2

=(7+4

3

)(4

3

+25)−8(2+

3

)(8+4

3

)+2

=175+48−128−96+2

=1

Hence, option B is correct.

If y = 2x-3, then which of the following ordered pairs lies on the graph?
O (-3,0)
O (1,-1)
O (5,4)

Answers

Plug in the points and see if they satisfy the equation.

y = 2x - 3

(1, -1)

-1 = 2(1) - 3

-1 = 2 - 3

-1 = -1

So (1, -1) satisfies the equation.

(-3, 0)

0 = 2(-3) - 3

0 = -6 - 3

0 = -9

So (-3, 0) does not satisfy the equation.

(5, 4)

4 = 2(5) - 3

4 = 10 - 3

4 = 7

So (5, 4) does not satisfy the equation.

Therefore your answer is (1, -1).

Answer:

the answer is 5,4

Emma bought 1305 bags of carrot for 16910 dollars. Find the unit rate in terms of bags per dollar.

Answers

Answer: $12.96

Given:

1305 bags of carrots purchased

Total cost = $16,910

Step-by-step explanation:

To find the unit cost, divide 16910 by 1305 to find the cost of one bag of carrots:

[tex]\frac{16910}{1305} = 12.96[/tex]  (rounded to nearest hundredth)

A rental car agency charges $230 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $415?
The number of miles you can travel in one week for $415 is

Answers

Answer:

740 miles

Step-by-step explanation:

$415-$230=$185

$185÷0.25 per miles =740 miles

Given the data set (4,85),(7,92),(14,110), which of the following equation best represents a line of best fit

Answers

Gggggghhhgghgggghhhjjhh

Identifying an Error
Identify the error in the student solution shown
below. Find the correct answer.
2ln(x)= In(3x) - [In(9) - 2ln(3)]
In(x²) In(3x)-[In(9) - In(9)]
In(~2) 1/25)

Answers

The incorrect step is ln(x²) = ln(3x/0) because ln(x/y) = lnx - lny and the solutions are x = 0, 3

What is a logarithm?

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

2ln(x) = In(3x) - [In(9) - 2ln(3)]

In(x²) = In(3x) - [In(9) - In(9)]

ln(x²) = ln(3x) - 0

ln(x²) = ln(3x/0)   (incorrect step)

ln(x²) = ln(3x)

x² = 3x  (correct step)

x² - 3x =0

x(x - 3) = 0

x = 0, 3

Thus, the incorrect step is ln(x²) = ln(3x/0) because ln(x/y) = lnx - lny and the solutions are x = 0, 3

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Here are the first five numbers in a sequence.
47 41
(a) Find the first negative number in the sequence.
35
29
23

Answers

Answer:

- 1

Step-by-step explanation:

note there is a common difference of 6 between consecutive terms , that is

23 - 29 = 29 - 35 = 35 - 41 = 41 - 47 = - 6

by subtracting 6 from the previous term we get

23 - 6 = 17

17 - 6 = 11

11 - 6 = 5

5 - 6 = - 1

the first negative number in the sequence is - 1

f(a)=3a^2+2a+7 find the value of f(a)

Answers

Answer:

Step-by-step explanation:

If a = 0, f(a) = f(0) = 0 + 0 + 7 = 7;

If a = 1, f(1) = 3(1^2) + 2(1) + 7 = 12;

and so on.  Normally an 'a' value would be given as part of this problem.

Actually, the value of f(a) is given and is  f(a) = 3a^2+2a+7 for input value a.

A school bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s^2. How much time does it take to travel 95.1 m?

Answers

The school bus will take 5.34 seconds to travel 95.1 m if the bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

We have:

A school bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

From the second equation of motion:

[tex]\rm s = u + \dfrac{1}{2}at^2[/tex]

We have given:

s = 95.1 m

u = 26.8 m/s

a = 4.73 m/s²

[tex]\rm 95.1 = 26.8 + \dfrac{1}{2}(4.73)t^2[/tex]

The above equation is a quadratic equation:

After simplification:

[tex]\rm \dfrac{4.73}{2}t^2=68.3[/tex]

[tex]\rm t^2=28.879[/tex]

t = 5.373 seconds ≈ 5.34 seconds

Thus, the school bus will take 5.34 seconds to travel 95.1 m if the bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

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Find the prime factorization of the composite number 10692

Answers

When decomposing into prime factors, it is when a number is taken out of its half, third, fifth and seventh, and it is also possible for the same number number.

         [tex]\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{10692 }\\ \ 5346\\ \ 2673\\ \ \ \ 891\\ \ \ \ 297\\ \ \ \ \ 99\\ \ \ \ \ 33\\ \ \ \ \ 11\\ \ \ \ \ 1 \end{matrix}\right|\begin{matrix} 2\\ 2\\ 3\\ 3\\ 3\\ 3\\ 3\\ 11\\ \: \end{matrix} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf 10692=2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot11=\bf{2^{2}\cdot3^{5}\cdot11 } \end{gathered}$}[/tex]

[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system?

Answers

The true option about the system of linear equation is that the system can only be independent and consistent.

How to illustrate the equation?

It should be noted that the system is consistent as it can illustrate more than a solution.

Also, it can't be independent and dependent at the same time as depicted in some of the option given.

In this case, true option about the system is that the system can only be independent and consistent.

The complete question is:

Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system?

The system can be either inconsistent or consistent.

The system can be either independent or dependent.

The system can only be independent and consistent.

The system can only be dependent and inconsistent.

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Solve the inequality graphically. 3^-8 > 6^-8

a. x < 1
b. x > 1
c. x > 0
d. x < 0

Answers

THE ANSWER IS -> b. x > 1

hope it helps

thanks

Answer: c. x>0

Step-by-step explanation:

Rick bought some tetra fish and goldfish for his fish tank. He bought twice as many goldfish as he did tetras. Each goldfish costs $1.50, and each tetra fish costs $2.00. He spent $20 on the fish. Which system can be used to represent x, the number of tetra fish, and y, the number of goldfish, he purchased?
x = 2 y. 2 x + 1.5 y = 20
2 x = y. 2 x + 1.5 y = 20
x = y. 2 x + 1.5 y = 20
x + y = 20. 2 x + 1.5 y

Answers

Answer:

  B.  2x = y; 2x +1.5y = 20

Step-by-step explanation:

The two given relations can be written as two equations, one for the numbers of fish, and one for their cost.

__

number of fish

The number of goldfish (y) is twice the number of tetras (x), so one equation can be ...

  2x = y

cost of fish

The tetras (x) are $2 each, and the goldfish (y) are $1.50 each. Their total cost is the sum of products of the number of fish and the cost of each. That total is given as $20, so the other equation could be ...

  2x +1.5y = 20

Then the appropriate system of equations is ...

2x = y2x +1.5y = 20

_____

Additional comment

The solution can be found by substituting for 2x to get ...

  y +1.5y = 20 . . . . . . substitute for 2x

  y = 20/2.5 = 8 . . . . divide by the coefficient of y

  x = y/2 = 4 . . . . . . . find the number of tetras

Rick bought 4 tetras and 8 goldfish.

__

The wording "twice as many goldfish as tetras" easily causes confusion. It is helpful to reword it as "goldfish were twice the number of tetras."

Consider the following hypothesis test: 0 : 12 a : 12 HH  A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32. a. Compute the value of the test statistic. b. Use the t distribution table to compute a range for the p-value. c. At a = 0.05, what is your conclusion? d. What is the rejection rule using the critical value? What is your conclusion?

Answers

a) The test statistic is given as t = [tex]\dfrac {14-12}{\dfrac{4.32}{\sqrt25}}}[/tex]= 2.315

b) The pa value will be P = P( t₂₄ > 2.315 ) = 0.015

c) If we compare the p-value and the significance level is given we see that  so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 1% of significance

What is a null hypothesis?

In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

X= represents the sample mean

s = represent the sample standard deviation

n = 25 sample size  

[tex]\mu_o[/tex] = 12 represent the value that we want to test

[tex]\alpha[/tex] = 0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

[tex]p_v[/tex] represent the p-value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 12, the system of hypothesis would be:  

Null hypothesis:  ≤ 12

Alternative hypothesis: > 12

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better to apply a t-test to compare the actual mean to the reference value, and the statistic is given by:  

[tex]t=\dfrac{X-\mu_o}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to a specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

[tex]\dfrac {14-12}{\dfrac{4.32}{\sqrt25}}}[/tex]= 2.315    

P-value:-

The first step is calculate the degrees of freedom, on this case:  

 df = n - 1 =25 - 1 = 2

Since is a one side right tailed test the p value would be:  

[tex]p_v[/tex] =  P( t₂₄ > 2.315 ) = 0.015

Conclusion  

If we compare the p-value and the significance level is given [tex]\alpha[/tex]= 0.05  we see that [tex]p_v < \alpha[/tex]  so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 1% of significance.

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If the domain (or pre-image) is (-4, -2), (5, 9), (-6, 2) and the range (or image) is
(-2, 4), (9,-5), (2, 6), what rotation was applied?

Answers

Answer:  90 degrees clockwise

This is equivalent to 270 degrees counterclockwise

The rule for either rotation is [tex](x,y) \to (y,-x)[/tex]

The x and y coordinates swap places, and the new second coordinate flips from positive to negative (or vice versa).

The diagram below shows an example of this for the point (-4,-2) rotating to (-2, 4). The center of the rotation is the origin (0,0).

Briana monitors the number of E. coli infections reported in a certain
neighborhood in a given week. The recent numbers are shown in
this table:

According to her reports, the reported infections are growing at a
rate of 50%.

If the number of infections continues to grow exponentially,what
will the number of infections be in week 6?

Answers

An equation is formed of two equal expressions. The number of infections in 6 weeks is 456.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.


The general equation of an exponential function is written as,

y = A(B)ˣ

Since the infection is increasing at a rate of 50%, therefore, the rate of growth will be,

B = 1.50

Substitute any value then we will get,

40 = A(1.50)⁰

A = 40

Thus, the exponential equation of the growth will be,

y = 40(1.50)ˣ

Now, the number of infections in 6 weeks will be,

y = 40(1.50)⁶

y = 455.625 ≈ 456

Hence, the number of infections in 6 weeks is 456.

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181 pointThe scatter plot shown below would best be modeled by a line of best fit.TrueFalseG0 Sociologists would argue that a change in the economy would eventually result in a change in the family. this is because: HELP MEE ,25 POINTS !!!! Celina says that each of the following expressions is actually a binomial in disguise: 5abc-2a^2+6abc 5x^32x^2-10x^4+3x^5+3x(-2) x^4 (t+2)^2-4t 5(a-1)-10(a-1)+100(a-1) (2r-r^2 )r-(2r-r^2)2r Sutton is a partner of RST Partnership. RST distributed $3,000 cash and a building with an adjusted basis of $10,000 and a fair market value of $50,000 to Sutton. Before the distributions, Sutton's basis in the partnership was $90,000. What amount of these distributions is taxable to Sutton in the current year Which of the following describe an angle with a vertex at E. boron& molybdenum are essential nutrients classified as: a) cofactors,b) antioxidants,c) major minerals,d) trace minerals Suppose you are designing a cardboard box that must have a volume of 27 cubic feet. The cost of the cardboard is $0.21 per square foot.The material in each box will cost $____ Write: what does mandy stand to lose and gain from disrupting the chronologic? cooking time name the organelles which are abundant in pancreas insert one rational number between 5 and 5.25 1. Ryan is much more aware of his health since his heart attack and is learning how diet and diseases are often related. What are the top two causes of death in the United States that are related to dietary factors A nurse is caring for a patient who has been taking an antiepileptic drug for several weeks. The nurse asks the patient if the therapy is effective. The patient reports little change in seizure frequency. What will the nurse do?. n doi saci sunt 182 kg de gru dac din primul sac ar lua 36 kg de gru i sar pune n al doilea sac atunci ambii saci ar conine cantiti egale de gru ce cantitate de gru este n fiecare sac Please help Logan has been studying rocks at school. How could he learn more about the different types of rocks that come from volcanoes? A. collect rocks at the shore B. read comics about imaginary rocks C. explain to his sister how volcanoes form D. watch videos about volcanic rocks A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m5 + m3 = m4 m3 + m4 + m5 = 180 m5 + m6 =180 m2 + m3 = m6 m2 + m3 + m5 = 180A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m5 + m3 = m4 m3 + m4 + m5 = 180 m5 + m6 =180 m2 + m3 = m6 m2 + m3 + m5 = 180 Choose the best Spanish equivalent to the phrase.Her husband should work more.Su esposo debe trabaja msEI esposo debe a trabajar ms.Su esposo debe trabajar ms.Un esposo deben trabajar ms Consider the reaction below.CH4(g) + H(g) CH6(g) Which of Cyril's actions does Saki exaggerate in "The Storyteller" to create satire? Select three options.disobeying his auntasking questions about everythingtalking back to his auntencouraging the bachelor to tell a storycommenting on the two stories he is told A website sells a dress at 50 and shoes at 43.The website has an offer: Buy a dress and shoes together and get 13off the price.There is also a shipping and handling charge of 7 added at the end, after any discount. If Ruth buys both a dress and shoes, how much will she actually pay? Why are reaction orders not always equal to the coefficients in a balanced chemical equation?