PLEASE HELP BRO WILL GIVE BRAINLI
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.

A triangle ABC is shown. The base of the triangle extends into a straight line. The angle formed between this straight line and the edge of the triangle is marked as p. The angle adjacent to p is marked as o, and the other two angles inside the triangle are marked as m and n.
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p + m∠o = 180 degrees (adjacent supplementary angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠n + m∠p
Step 4: So, m∠m + m∠n = m∠p

In which step did the student first make a mistake and how can it be corrected? (4 points)

Step 2; it should be m∠o − m∠p = 90 degrees (complementary angles)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
Step 3; it should be m∠m + m∠n + m∠o = m∠o + m∠p

Answers

Answer 1

Answer:

Step 3; it should be angle m + angle n + angle o = angle o + angle p

Step-by-step explanation:

yes, the sum of the inner angles of the triangle, m, n, o must be 180°.

yes, the sum of supplementary angles (which the pair of inner and outer angles always is) p and o must be 180°.

so, step 3 wants to show that the sum of the 3 inner angles is the same as the sum of the inner/outer angle pair. m + n + o = o + p = 180.

but instead of o the student suddenly wrote n in the right side of the equation. and that is wrong. n + p can't be 180°, as both are inner angles, and that would make the third inner angle 0°, which is not really possible.

so, once n is replaced by o on the right side of the equating in step 3, all is correct again.

and step 4 is correct anyway (it fixed the mistake in step 3 of the original proof by another mistake, coming to the right conclusion just by coincidence), now that step 3 is corrected.


Related Questions

3×(9-4)³ - 46×3

A) 1
B) 237
C) 711
D) 987

Answers

Answer:

237

Step-by-step explanation:

3×(9-4)³ - 46×3
subtract 4 from 9 to get 5
3x5³-46x3
calculate 5 to the power of 3 and get 125
3x125-46x3

multiply 3 and 125 to get 375.

375-46x3
Multiply 46 and 3 to get 138
375-138

subtract 138 from 375 to get 237.
And there's your answer

You can follow the rule of BODMAS.

BODMAS stands for Bracket, Of, Division, Multiplication, Addition, Subtraction

By following the rule of BODMAS, the solution will be like this:

3×(5)³ - 46×3

= 3×125 - 46×3

= 375 - 138

= 237

I hope my explanation has helped you.

You can do well to declare this answer as the Brainiest Answer.

Thanks so much

use the english and metric equivalents to the​ right, along with dimensional​ analysis, to convert the given measurement to the unit indicated. in. to cm

Answers

It should be noted that the conversion of the measurement of 290 inches will be 0.7366 decameter.

How to illustrate the information?

It should be noted that from the information,.it about equivalents dimensional analysis, to convert the given measurement to the unit indicated.

In this case, we want to convert 290 in. to dam.

It should be noted that we have to divide rye length value by 393.7

Therefore, it should be noted that 290 inches will be:

= 290 / 393.7

= 0.7366 decameter.

Therefore, it should be noted that the conversion of the measurement of 290 inches will be 0.7366 decameter.

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41.4 is what percent of 92?

Answers

Answer: 45

41.4 is 45 percent of 92

Answer: 45%

Step-by-step explanation:

Solution for 41.4 is what percent of 92:

41.4:92*100 =

(41.4*100):92 =

4140:92 = 45

Now we have: 41.4 is what percent of 92 = 45

Question: 41.4 is what percent of 92?

Percentage solution with steps:

Step 1: We make the assumption that 92 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3:  100%=92.

Step 4: In the same vein, x%=41.4.

Step 5: This gives us a pair of simple equations:

$100%=92(1).

$x%=41.4(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

100%/x%= 92/41.4

Step 7: Taking the inverse (or reciprocal) of both sides yields

x%/100% = 41.4/92

-> x=45%

Therefore, 41.4 is 45% of 92.

Simplify The answer please

Answers

Answer:

-18/35

Step-by-step explanation:

Manvita deposits Rs. 5000 in her bank account after two days. She withdraws Rs.
3748 from it. If the amount deposited is a positive integer. How will you represent
the amount withdrawn and also find the balance amount in the account?

Answers

If the amount deposited is a positive integer , so the amount withdrawn is represented by -3748  and the balance amount in the Manvita's account is Rs 1252 .

In the question ,

it is given that

Money deposited by Manvita =  Rs 5000 .

Money withdrawn by Manvita = Rs 3748 .

Since , amount deposited is a positive integer ,

So, the amount withdrawn will be a negative integer

Balance in Manvita's account = Money deposited + Money Withdrawn

Substituting the values , we get

Balance in Manvita's account = 5000 + (-3748)

= 5000 - 3748

= 1252

Therefore , if the amount deposited is a positive integer , so the amount withdrawn is represented by -3748  and the balance amount in the Manvita's account is Rs 1252 .

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Marsha used a graphing calculator to graph an expense and a revenue function for her family’s printing business. The graph looked like the one below.

Answers

The break-even points for her graph are given approximately as follows:

C. 15 and 47.

Expense, revenue and break-even point

The expenses and the revenue are defined as follows:

Expenses: amount spent by the person/company to develop each unit of the product, that is, the cost of the product.Revenue: amount earned by the person/company for each unit of the product sold.

The break-even points are the points in which the expenses and the revenue are equal.

In the context of this problem, the functions are given as follows:

Revenue: given by the parabola.Expenses: Given by the line.

The break-even point is given by the intersection of the two curves, which happen around x = 15 and x = 47, hence option C is the correct option.

Missing information

The problem is given by the image at the end of the answer.

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Trevon left home and traveled toward the recycling plant. Mike left one hour later traveling 14 mph faster in an effort to catch up to him. After four hours Mike finally caught up. Find Trevon's average speed.

Answers

The most appropriate choice for speed will be given by-

Average speed of Trevon is 56 mph

What is speed?

The distance travelled by the body per unit time is called speed of the body.

If d is the distance travelled by the body and t is the time taken, then

speed = [tex]\frac{d}{t}[/tex]

Speed is a scalar quantity as the direction is not taken into account.

Here,

Let the average speed of Trevon be [tex]x[/tex] mph

Average speed of Mike = [tex](x + 14)[/tex] mph

Time for which Trevon driven = [tex](4 + 1)[/tex] h

                                                  = [tex]5[/tex] h

Time for which Mike driven = [tex]4[/tex] h

By the problem,

[tex]5 \times x = 4 \times (x+14)[/tex]

[tex]5x = 4x+56[/tex]

[tex]5x-4x=56[/tex]

[tex]x =56[/tex] mph

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What is the value of (−14)3 when evaluated? −2,744 −196 42 2,744

Answers

The value of (-14) 3 when evaluated is -42.

Given,

The expression = (-14) 3

We have to evaluate this and find the value.

Evaluating an expression:

Finding the value of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. When evaluating an expression, we change the variable in the expression to the given number and then use the order of operations to simplify the expression.

That is,

(-14) 3 = -14 × 3 = -42

Therefore, the value of (-14) 3 when evaluated is -42

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A particular bacterium population is found to double the in 20 minutes. If a laboratory culture
begins with a population of P=340 of this bacteria and there is no change in the growth rate, how
many bacteria will be present in t=37 minutes?
Hint: Use equation P = Poekt, where k is the relative growth. Round to two decimal places.

Answers

The bacteria present at t=37 minutes is found to be 8.40, with no change in growth rate.

What does population growth exponentially mean?

When a population's per capita growth rate remains constant, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.

Given:

P = 340

It has been discovered that a specific bacterial population doubles in 20 minutes.

k = 2/20 = 0.1

t = 37 minutes

We know that,

P = P₀[tex]e^{kt}[/tex]

340   = P₀([tex]e^{0.1*37}[/tex])

340 =P₀(40.44)

P₀ = 8.40

As a result, the bacteria that will be present in t=37 minutes is found to be 8.40 with no change in growth rate.

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a soccer club has 120 members this year, compared to 85 members last year. find the percent increase or decrease

Answers

The number of members that the club had last year was 85

The number of members that the club has this year is 120.

The number by which it increased is

120 - 85 = 35

Percentage is expressed in terms of 100. Thus, the percentage increase is

35/85 * 100

= 41.2%

The percentage isncrease is 41.2%

How do u solve this? ​

Answers

Answer:

See below

Step-by-step explanation:

the two angles add to a total of 360 °

5x - 40    + `150 = 360

x = 50°

Gabriel bought 12 donuts and fritters from the
bakery. Donuts cost $1.00 and fritters cost
$2.00. Gabriel spent a total of $17.00. How
many donuts (d) and how many fritters (f) did
he buy?
d+f=12
1d + 2f = 17
[?] donuts [?] fritters

Answers

Answer:

Gabriel spent $12 in just Donuts. If fritters are $2 a piece, he could buy 2 fritters at max. Perhaps he bought an extra donut to equal $17.

Step-by-step explanation:

Answer:

7 donuts and 5 fritters

Step-by-step explanation:

The bill amount for Diana's brunch was $35.80. She wanted to leave 18% of the total bill as a tip. How much should the tip
be?

Answers

$6.40 dollars
Explanation: I used a calculator
18/100 x 35.80= 18(0.358)= 6.45 dollars

Graph the image of rectangle CDEF after a translation 4 units left and 9 units up.

Answers

The graph of the image of rectangle CDEF after a translation 4 units left and 9 units up is as shown below.

In this question, we have been given the image of rectangle CDEF.

The coordinates of rectangle CDEF are:

C = (-6, -6)D = (-2, -6)E = (-2, 0)F = (-6, 0)

The rectangle CDEF is a translated 4 units left and 9 units up.

When rectangle CDEF is a translated 4 units left then the coordinates of rectangle would be,

C' = (-10, -6)

D' = (-6, -6)

E' = (-6, 0)

F' = (-10, 0)

Then rectangle C'D'E'F' is translated 9 units up  then the coordinates of rectangle would be,

C'' = (-10, 3)D'' = (-6, 3)E'' = (-6, 9)F'' = (-10, 9)

The graph of the image of rectangle CDEF after a translation 4 units left and 9 units up is as shown below.

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please look at the image and answer, Thank you!

Answers

80 I believe but I still to this day struggle to understand this topic

Need ASAP!! Please solve the equation and include steps if you're able to :). Best answer with steps gets Branliest

Answers

Answer:

I couldn't do the second question but I did the first and third

1. x=125

3. 11.84

Step-by-step explanation:

2x+6x= 1,000    Set up equation

8x=1,000          Add the like terms-so, 2x and 6x

x=1,000/8         Isolate the x by taking the 8 to the other side to divide

x=125

-2.3x-4.2x=-66.3       Equation

-5.6x= -66.3              Add -2.3 and -4.2 because both r negative

x=-66.3/-5.6              isolate x bu dividing

x= 11.84                        Rounded answer

                                   

what expression is equivalent to 1.2y + 4.5 - 3.4y - 6.3

Answers

The expression is equivalent to the given expression  by combining like terms is  -2.2[tex]y[/tex]-1.8 .

What is a expression?

An expression is a set of terms combined using the operations +, -, x or ÷

and the variables. Number, symbols and operators are grouped to form an expression . An expression can be simplified by combining like terms.  

Given that,

  1.2y + 4.5 - 3.4y - 6.3

The terms that has same variables are like terms Combine like terms by adding or subtracting the terms.

-1.2[tex]y[/tex]-3.4[tex]y[/tex]+4.5-6.3

-2.2[tex]y[/tex]-1.8

Hence, The expression is equivalent to the given expression  by combining like terms is  -2.2[tex]y[/tex]-1.8 .  

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f(n)=3.3n-1 for n ≥ 1

Answers

The first five terms of the given function is:

f(1) = 2.3

f(2) = 5.6

f(3) = 8.9

f(4) = 12.2

f(5) = 15.5

Functions: The core concept of mathematics calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h.

The given function is f(n) = 3.3n-1 for n>= 1

The first 5 terms of this function are as follows:

f(1) = 3.3(1)-1

= 3.3-1 = 2.3

f(2) = 3.3(2)-1

= 6.6-1 = 5.6

f(3) = 3.3(3)-1

= 9.9-1

=8.9

f(4) = 3.3(4)-1

= 13.2-1

=12.2

f(5) = 3.3(5)-1

= 16.5-1

= 15.5

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satisfy this equation x + |y| = y + |x|
IF -10 ≤ x ≤ 10 and -10 ≤ y ≤ 10

Answers

The equation x + |y| = y + |x| that contains the absolute values of x and y, is satisfied when the values of x and y are given by the iniquities;

0 ≤ x ≤ 10 and 0 ≤ y ≤ 10

What is an absolute value?

The absolute value or modulus of a real number gives its non negative value irrespective of the sign (positive or negative) of the number.

The given equation is presented as follows;

x + |y| = y + |x|

The possible values of x and y are;

-10 ≤ x ≤ 10 and -10 ≤ y ≤ 10

Collecting the absolute values of the equation on one side gives;

|y| - |x| = y - x, which gives;

+y - +x = y - x

The equation is therefore satisfied when both x and y are larger than zero.

Therefore, x + |y| = y + |x|, gives;

0 ≤ x ≤ 10, and 0 ≤ y ≤ 10

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Aaron has two summer jobs. During the week he works in the grocery store, and on the weekend he works at a nursery. He gets paid $20 per hour to work at the grocery store and $21 per hour to work at the nursery. How much does he earn if he works 13 hours at the grocery store and 9 hours at the nursery? How much does he earn if he works gg hours at the grocery store and n hours at the nursery?

Total pay, 13 hours at the grocery store and 9 hours at the nursery:

Total pay, g hours at the grocery store and n hours at the nursery:

Answers

If he gets paid $20 per hour to work at the grocery store and $2 per hour to work at nursery,

Part a

He will earn $449 if he works 13 hours at the grocery store and 9 hours at the nursery

Part b

He will earn 20g + 21n, if he works g hours at the grocery store and n hours at the nursery

The payment at the grocery store per hour = $20

The payment at the nursery per hour = $21

Part a

Number of hours he works at the grocery store = 13 hours

Number of hours he works at nursery = 9 hours

Total pay = 13×20 + 9×21

= 260 + 189

= $449

Part b

Number of hours he works at the grocery store = g hours

Number of hours he works at nursery = n hours

Total pay = 20g + 21n

Hence, If he gets paid $20 per hour to work at the grocery store and $2 per hour to work at nursery,

Part a

He will earn $449 if he works 13 hours at the grocery store and 9 hours at the nursery

Part b

He will earn 20g + 21n, if he works g hours at the grocery store and n hours at the nursery

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Daniel walks at a speed of 4 miles per hour. Daniel leaves his house at 1:00 p.m. and walks toward a playground exactly 2 miles away.
Daniel's mother plans to walk to the playground too. She walks at a speed of 6 miles per hour.

At what time should Daniel's mother leave the house to arrive at the playground at the same time as Daniel?

Answers

Daniel's mother should leave the house at 1:10 P.M. to arrive at the playground at the same time as Daniel.

According to the question,

We have the following information:

Speed of Daniel = 4 miles per hour

So, it means that Daniel covers 4 miles in 1 hour.

1 hour = 4 miles or 4 miles = 1 hour

1 mile = 1/4 hour

1/4 hour means (60/4) minutes or in other words 15 minutes.

Now, Daniel will cover 1 mile in 15 minutes.

So, the time taken by Daniel to cover 2 miles = 15*2 minutes

Time taken by Daniel to cover 2 miles = 30 minutes

So, Daniel will reach the playground at 1:30 P.M.

Now, speed of Daniel's mother = 6 miles per hour

So, we have:

6 miles = 1 hour

6 miles = 60 minutes

1 mile = 60/6 min

1 mile = 10 min

So, to cover 2 miles, Daniel's mother will take (2*10) minutes or 20 minutes.

Now, Daniel will reach the playground at 1:30 P.M.

So, Daniel's mother should start from her house at 1:10 P.M.

Hence, Daniel's mother should start at 1:10 P.M.

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Since wY, XZ, and AB intersect at 0, WOA ~ BOY and
XOB by the vertical angles theorem. It is given that
AOZ. By the transitive property, BOY XOB.
AOZ
WOA
What is the conclusion reached by this proof?

Answers

the conclusion is that angle AOZ  and XOB is approximately equal

We are given that WOA and AOZ are equal, and since the AB intersects the line WY and XZ, were from the vertical angles theorem, This hypothesis says that when two straight lines meet, they frame two sets of linear sets with congruent angles, then angle WOZ and XOY equal and XOW and YOZ are too, now since the Ab intersects those angle on pint A and by the transitive property If any angles or segments are congruent to the same angle, at that point they are consistent to each other, according to which it was clear that both the angle BOY and XOB are approximately equal, there  vertical angle which are angles WOA and AOZ are equal  to them, So it can be concluded that the angle AOZ and XOB are equal too.

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Answer:

b

Step-by-step explanation:

for edmuntum

Can someone help with questions 3,4 and 5? THANK YOUUU ^^ I did questions 1 and 2

Answers

Answer:

Question 3.

[tex]y = \frac{2}{7} x - 3[/tex]

question 4

[tex]y = - 4x - 1[/tex]

question 5

[tex]y = 5x + 3[/tex]

Step-by-step explanation:

Question 3

1.Write down what is given in equation form

[tex]y = \frac{2}{7} x + c[/tex]

2. Insert the given point to work out c

[tex] - 5 = \frac{2}{7} ( - 7) + c[/tex]

[tex]c = - 3[/tex]

3. answer

[tex]y = \frac{2}{7} x - 3[/tex]

Question 4

1 write what was given in an equation

[tex]y = - 4x + c[/tex]

2. insert given point (-1;3) to work out c

[tex]3 = - 4( - 1) + c[/tex]

[tex]c = - 1[/tex]

3. final answer

[tex]y = - 4x - 1[/tex]

question 5

1.with what was given write it in equation form

[tex]y = 5x + c[/tex]

2. substitute the given point (-2;-7) to work out c

[tex] - 7 = 5( - 2) + c[/tex]

[tex]c = 3[/tex]

3.final answer

[tex]y = 5x + 3[/tex]

What is the answer to this
|-0.4| ?

Answers

Answer:

0.4

Step-by-step explanation:

The absolute value is just the number in the line things but positive.

The absolute value is the distance between a number and zero. The distance between − 0.4 and 0 is 0.4

if |-0.4| is all that is in the question it is 0.4

Monique built a wooden frame woth dimensions 0.8m by0.5m.how much wood will be left from a 3.4m length of timber

Answers

Answer: 0.8 m

Step-by-step explanation:

1.  The perimeter P of the wooden frame is equal to:

P=2(0.8+0.5)

P=2(1.3)

P=2.6 m

2. The remaining length of wood is equal to:

3.4-2.6=

0.8 m

with show work. trigonometry

Answers

60.8. you would have to combine all know angles and subtract them by 180

In survey, 9 out of 11 doctors recommended a certain medicine. If 88 doctors were surveyed, how many doctors recommended the medicine? please answer this asap

Answers

88/11 = 8 8x9 = 72 therefore 72 doctors would recommend the medicine

Answer:

72 doctors recommended the medicine

Step-by-step explanation:

9 out of 11 doctors recommended the medicine, making it 9/11 there are 88 doctors in total 9/11 doctors out of 88 doctors recommended the medicineso, this becomes multiplication. 9/11*88/1 you get 72

IMAGE ATTACHED Help with this please.​

Answers

Part of a full number and a means of dividing a number into equal pieces are represented by fractions.The denominator is the total number of parts in the whole, while the numerator is the number of equal portions being counted.

Solve the problem ?

An element of a whole is a fraction.The number is represented mathematically as a quotient, where the numerator and denominator are split.Both are integers in a simple fraction.A fraction appears in the numerator or denominator of a complex fraction.The numerator of a proper fraction is less than the denominator.Richard can finish reading a book in (missing) hours.Need something in those places to determine the precise response, but generally speaking if you simply want to get his unit rate, first convert the data into a fraction:

Books per hour equal books per hour

Then, to determine his unit rate, divide the top by the bottom (books per 1 hour).

For instance:Richard would read one book in an hour if he could finish reading half of a book in that time.It becomes a little more complicated: if he can read 2 1/4 th of a book in an hour, he can read: 2 1/4/  1/12=  0.5/0.083 = 6.024I'm not sure if you'll be dealing with fractions, decimals, or entire numbers, but if they're fractions, bear in mind that you divide fractions by keeping the first fraction the same, multiplying it, and then flipping the second fraction. 2 1/4/  1/12=  0.5/0.083 = 6.024

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How can you rewrite -8 -10 as an addition problem? ​

Answers

Answer:

-8 + (-10)

Hope this help!

asquarematrixiscalledapermutationmatrixifitcon- tains a 1 exactly once in each row and in each column, with all other entries being 0. examples are in and are permutation matrices invertible? if so, is the inverse a permutation matrix as well?

Answers

Examples of permutation matrices are the identity matrices with a permutation in rows. Permutation matrices are invertible and the inverse is a permutation matrix as well.

A permutation matrix is a square matrix which contains exactly one 1 in each row and all other entries 0.

So a permutation matrix can be obtained by rearranging the rows or columns of an identity matrix. Identity matrix is also a permutation matrix with entry 1 exactly once in each row and all other entries 0.

Example of a permutation matrix:

[tex]\left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right][/tex]

A permutation matrix is invertible because an identity matrix is invertible [since det(I) = 1] and a permutation matrix is just got by exchanging rows or columns which does not change its determinant. So the determinant of a permutation matrix ≠ 0 and hence invertible.

The inverse of a permutation matrix is its transpose itself. The transpose is again a permutation matrix.

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Drawing of circuit in series, with 6 lamps , 3 electrical equipment, 1 power source, and is opened When a writer revises an essay for coherence, he or she makes sure that Read the excerpt from A History of the World in 100 Objects.The drum was found by Kitcheners army near Khartoum after the Anglo-Egyptian reconquest of the city. Once again it was re-carved or re-branded to make a political statement: near the tail of the bush calf Kitchener added the emblem of the British Crown. It was then presented to Queen Victoria.Which conclusion about historical significance can be drawn from this information?The emblem of the British crown was carved onto all artifacts found by the British army.The carving on the slit drum was viewed as an unimportant addition by Kitcheners army.The carving on the slit drum is representative of British rule over African territories.The emblem of the British crown was commonly found already engraved on foreign artifacts. The GI Bill & Its Impact - Questions1. What benefits were supposed to be guaranteed by the GI Bill (Servicemen's Readjustment Act) of 1944? Which two identify the same sequence Martha bought yards of fabric for $1.75 per yard. Which expressions could Martha use to find out how much her fabric will cost? Write an equation in slope-intercept form given the table:X 0 1 2 3Y 3 6 9 12 y=2x+4y, equals, minus, 2, x, plus, 4Complete the missing value in the solution to the equation. The distance between Dallas and Austin on a map is about 9 centimeters. The map uses a scale in which 1 centimeter represents 20 miles. What is the actual distance between Dallas and Austin in miles? help please Complete the work to solve for y7 (22y + 5) - 13 = 2 4 - 1 + 101/4 + 2 - 1/2 = 1 4 - 1 + you A grocer sells apples for $1. 35 each, pears for $1. 45 each and oranges for $1. 60 each. She also offers a discount of 70c for anyone who buys two pieces of fruit, and a discount of $1. 60 for anyone who buys three pieces of fruit. One day she sells 50 pieces of each type of fruit, for a total of $202. How many customers did she have, assuming each customer bought 1, 2 or 3 pieces of fruit?. Rocky Mountain National Park, nicknamed "Rocky," is a true marvel of the American West and contains a variety ofanimals, plant life, and even climates. There are four ecosystems inside Rocky Mountain National Park: riparian, montane,subalpine, and alpine tundra. You might see a moose or mule deer drinking from a pond in a riparian ecosystem, which areareas that are near streams or lakes. Riparian ecosystems can be found within the other three ecosystems. The montaneecosystem is the lowest in elevation at Rocky. There you will find ponderosa pine trees and wide-open mountain meadows,lush with wildflowers in the summer. Climb a little higher into the subalpine ecosystem, where long winters and short, coolsummers make up t the climate. Look high into a limber pine tree and you might spot a Clark's nutcracker, nibbling on pineseeds. Finally, the highest elevation in Rocky is the alpine tundra. Bitter cold and wind-blasted defines this ecosystem with itsjagged mountain tops that are capped with snow even in late August. Each of these ecosystems has a quality all its own, butthey are all interconnected, comprising a true American treasure: "Rocky."Which of the following is a minor supporting detail in the one paragraph essay above?O There you will find ponderosa pine trees and wide-open mountain meadows, lush with wildflowers in the summer.O The montane ecosystem is the lowest in elevation at Rocky.O There are four ecosystems inside Rocky Mountain National Park: riparian, montane, subalpine, and alpine tundra.O Finally, the highest elevation in Rocky is the alpine tundra. Find a model for simple harmonic motion satisfying the specified the conditions. displacement (t=0) 0 centimeters amplitude 8 centimeters period 2 seconds how do right-to-work laws diminish union power? A function has X-intercept 4 and y-intercept 2. name two other points on the graph of this function. Please explain thoroughly on how to find another point. An English instructor asserted that students' test grades are directly proportional to the amount of time spent studying. Lisa studies 6 hr for a particular test and gets a score of 74. At this rate, how many hours would she have had to study to get a score of 98? She served her guests with the burgers from the hot grill. Explain why meiosis might be considered a special case of mitosis. The company with the common equity accounts shown here has declared a stock dividend of 20 percent at a time when the market value of its stock is $30 per share. Common stock ($1 par value) $ 460,000 Capital surplus 861,000 Retained earnings 3,870,800 Total owners' equity $ 5,191,800 What would be the number of shares outstanding, after the distribution of the stock dividend? (Do not round intermediate calculations.) Combine the following simple sentences into two compound sentences.Over 1,000 years ago the Maya of Mexico chewed chicle. Native Americanslater taught European settlers to chew gum.