I really need this answered please
For the first problem you need to find the measures for 1 and 2.
The other 2 problems you need to find the values of each variable

I Really Need This Answered PleaseFor The First Problem You Need To Find The Measures For 1 And 2.The
I Really Need This Answered PleaseFor The First Problem You Need To Find The Measures For 1 And 2.The
I Really Need This Answered PleaseFor The First Problem You Need To Find The Measures For 1 And 2.The

Answers

Answer 1

Answer:

1) 1 = 120 degrees and 2 = 60 degrees

2) x = 25

3) p = 32

Step-by-step explanation:

1) Angle 1 is 120 degrees, since it is congruent to the corresponding angle below it (because lines a and b are parallel) Angles 1 and 2 are supplementary, meaning they add up to 180, so to find angle 2 we do 180 - 120 to get 60. Angle 1 = 120 degrees and angle 2 = 60 degrees.

I did 2 and 3 on paper, let me know if anything is confusing :))

2) the two lines are parallel, so we know those two angles are congruent since they're corresponding. If they're congruent we can just set them equal to each other to find x. x = 25.

3) the little square mark means a right angle, which is 90 degrees. The two lines are parallel, so we know that the angle below is corresponding and congruent to 90 degrees. So to find p, set 3p - 6 equal to 90. p = 32.

if anythings confusing let me know :-)

I Really Need This Answered PleaseFor The First Problem You Need To Find The Measures For 1 And 2.The

Related Questions

Find the fourth degree polynomial that contains the origin and to which the line x+2y=14 is tangent at both x=4 and x=-2.

Answers

Answer: 60,30,180, and 37

Step-by-step explanation:

The locations of student desks are mapped using a coordinate plane where the origin represents the center of the classroom. Maria's desk is located at (6, −1), and Monique's desk is located at (−3, 1). If each unit represents 1 foot, what is the distance from Maria's desk to Monique's desk?

square root of 98 feet
square root of 85 feet
square root of 6 feet
square root of 5 feet

Answers

The distance between two points of a line is given as:

Distance =  [tex]\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2 }[/tex]

The distance from Maria's desk to Monique's desk is √85.

Option B is the correct answer.

What is the distance between two points of a line?

The distance between two points of a line is given as:

Distance =  [tex]\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2 }[/tex]

We have,

Maria's desk.

We will write the coordinates in the form of (x, y).

(6, -1) = [tex](x_1, y_1)[/tex]

Monique's desk.

We will write the coordinates in the form of (x, y).

(-3, 1) = [tex](x_2, y_2)[/tex]

The distance between Maria's desk and Monique's desk.

= [tex]\sqrt{(-3 - 6)^2 + (1+1)^2 }[/tex]

= √(81 + 4)

= √85

Thus,

The distance from Maria's desk to Monique's desk is √85.

Option B is the correct answer.

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Suppose we are given the following.
Line 1 passes through (-3, 8) and (0,4).
Line 2 passes through (4, 4) and (-4,-2).
Line 3 passes through (4, 1) and (8,4).
(a) Find the slope of each line.
Slope of Line 1-
Slope of Line 2-
Slope of Line 3-0
(b) For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Line 1 and Line 2: OParallel
Line 1 and Line 3:
OParallel
Line 2 and Line 3:
OParallel
Operpendicular ONeither
Operpendicular
ONeither
OPerpendicular
Neither

Answers

Slope of line 1 is -4/3, slope of line 2 is 3/4, slope of line 3 is 3/4, and  Line 1 and Line 2 are perpendicular, Line 1 and Line 3 are also perpendicular, Line 2 and Line 3 are parallel.

What is slope of a line?

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate points and calculating the slope of a line are related tasks. In general, we require the values of any two separate coordinates on a line in order to determine its slope.

Slope of a line can be calculated using the formula:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here, m = slope and (x1, y1), (x2, y2) are two points on the line,

Calculating the slope of line 1 whose points are (-3, 8), (0, 4)

[tex]m = \frac{4 - 8}{0 - (-3)}[/tex]

m = -4/3

Calculating the slope of line 2 whose points are (4, 4), (-4, -2)

[tex]m = \frac{-2 - 4}{ -4 - 4}[/tex]

m = 3/4

Calculating the slope of line 2 whose points are (4, 1), (8, 4)

[tex]m = \frac{4 - 1}{ 8 - 4}[/tex]

m = 3/4

Now we know that if lines are parallel that their slope is equal and when lines are perpendicular the product of their slope is -1,

Therefore, Line 1 and Line 2 are perpendicular, Line 1 and Line 3 are also perpendicular, Line 2 and Line 3 are parallel.

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IF LINE TV IS PARALLEL TO LINE ZX AND LINE ZX IS PARALLEL TO LINE QS, THEN IS LINE TV PARALLEL TO LINE QS BY TRANSITIVE PROPERTY?

Answers

Yes line TV is also parallel to line QS according to transverse property

What is transverse property?

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

When the term equal is replace by parallel it suits the case at hand hence transitive property of parallel lines is introduced

When attempting to demonstrate that several parallel lines have congruent properties, the transitive property of parallel lines can be used to create a link between numerous equal quantities.

Therefore, it can be interpreted as: if line TV || line ZX and line ZX || line QS then line TV || line ZX

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Could I get help with this?

Answers

Answer: convergencnt

Step-by-step explanation:

Use a graphing calculator to find A1, if it exists.
A =
-5 -4 -5
-4 -4 -3
-1 -1 -1

Answers

The [tex]A^{-1}[/tex] for the matrix is

[tex]A^{-1} = \left[\begin{array}{ccc}-1&-1&8\\1&0&-5\\0&1&-4\end{array}\right][/tex]

How to find inverse of a matrix ?

Only square matrices with an equal number of rows and columns, such as 2 *2, 3*  3, etc., allow us to find the inverse of the matrix. The adjoint of the provided matrix is divided by the determinant of the given matrix to produce the inverse matrix, to put it simply.

[tex]A^{-1} = \frac{1}{|A|} Adj A[/tex]

|A|=-5(4-3)+4(4-3)-5(4-4)

|A|=-5+4

|A|=-1

[tex]Adj A = \left[\begin{array}{ccc}1&1&-8\\-1&0&5\\0&-1&4\end{array}\right][/tex]

[tex]A^{-1} = \frac{1}{-1}\left[\begin{array}{ccc}1&1&-8\\-1&0&5\\0&-1&4\end{array}\right][/tex]

[tex]A^{-1} = \left[\begin{array}{ccc}-1&-1&8\\-1&0&-5\\0&1&-4\end{array}\right][/tex]

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explain why the exterior angle of a regular polygon could be 20* 30* or 40* but not 50*

Answers

Answer:a polygon cannot have 7.2 sides

Step-by-step explanation:

each exterior angle of a regular polygon with n sides is equal and these angles add up to 360∘ . a polygon cannot have 7.2 sides. since , the exterior angle of a regular polygon cannot be 50∘

Henry reads 3/5 chapters in 5/6 hours. What is the unit rate in chapters per hour? Write your answer in simplest form.

Answers

Answer:

18/25 chapters / hour

Step-by-step explanation:

22 Of the 20 students in Kendra's class, 5 have black hair, 8 have blonde
hair, 5 have brown hair, and 2 have red hair. Kendra used the spinner to
find the experimental probability that this week's class leader will have b
blonde hair. She spun the spinner 15 times and recorded her results.
Black
Red
Brown
Blonde
Color
Black
Blonde
Number of Times
2
9
Brownelding
3
Red
1
What is the experimental probability that this week's class leader will
have blonde hair?

Answers

experimental probability = 0.6

What is experimental probability ?

Actual experiments and sufficient documentation of the occurrence of occurrences serve as the foundation for experimental probability, sometimes referred to as empirical probability. A number of real experiments are carried out in order to ascertain the likelihood of any event. Random experiments are studies that don't have a predetermined outcome. The results of such experiments are unpredictable. The likelihood of random experiments is calculated repeatedly. A trial is a repeating of an experiment that is performed a certain number of times. The experimental probability's mathematical formula is denoted by;

Probability of an Event P(E) = Number of Trials / Total Number of Occurrences of an Event

15 times were used in the experiment by Kendra.

According to the table, out of the 15 instances, we receive a blonde class leader 9 times.

Therefore, the experimental likelihood that the class leader for this week has blonde hair is = [tex]\frac{n(blonde)}{n(all trails)} =\frac{9}{15} =\frac{3}{5} = 0.6[/tex]

0.6 will be the experimental probability that this week's class leader will

have blonde hair

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[tex]\sf 10+2x=4[/tex]

Answers

10 + 2x = 4
-10
2x = -6
/2
x = -3

Answer: x = -3

Answer:

10+2x=4

first, by using inverse operations subtract 10 on both sides.

10-10+2x=4-10

4-10 is -6. whys the 6 negative? because the number takes the sign of the bigge number.

2x=-6

Divide by 2 to isolate x

2x÷2=-6÷2

In multiplication and division one negative sign stays and 2 negative signs cancel eachother but here theres only one negative sign so;

~~~~~~~~~~~~~~~~

X=-3

5[tex]\sqrt{8}[/tex]simplified

Answers

Answer:

[tex]10\sqrt{2}[/tex]

Step-by-step explanation:

To simplify a square root you have to find any perfect square numbers.

(ex. 4, 9, 16, 25 ...)

[tex]\sqrt{8} = \sqrt{2*4} = \sqrt{2} * \sqrt{4}[/tex]

Simplify:

[tex]\sqrt{4} = 2[/tex]

[tex]2 \times \sqrt{2}\\ = 2\sqrt{2}[/tex]

Don't forget to multiply the 5, so:

[tex]5 \times 2\sqrt{2}\\ = 10\sqrt{2}[/tex]

The width of a rectangle is 7 meters than it’s length. If the area of the rectangle is 170 square meters, what is the measure of its length and width

Answers

Answer:

[tex]\frac{\sqrt{170} }{7}[/tex]

Step-by-step explanation:

Length = x

Width = 7x

Therefore 7x into x = 170, Rectangle area formula

7x^2=170

7x=root over 170

x = root over 170/ 7

Why is the following no solution?
|x| = -5

Answers

It’s because the absolute value of a number can never be negative.

The absolute value is the distance of a number from 0 without considering direction, and distance can’t be negative

The tens digit of a two-digit number is five more than the units digit. The number itself is equal to the sum of its digits multiplied by 8. Find the number

Answers

Answer:

72

Step-by-step explanation:

- reason why it's 72

tens            ones

(2+5)=7             2

A/Q:

7+2=99*8=72

Which decimal is equivalent to \
{31}{9}
9
31

start fraction, 31, divided by, 9, end fraction?

Answers

Answer:
3.4
Step-by-step explanation:
When they are saying equivalent it means
they are NOT looking for something the
same but something that's equal to the
solution.

4x+y=104, x, plus, y, equals, 10
Complete the missing value in the solution to the equation.

Answers

Answer:36,37,38,39 one of the those or between

Step-by-step explanation:

please help! ASAP! 50 points too whoever helps

Answers

Answer: 2050

Step-by-step explanation:

if one cup of pancake mix will yield 15 pancakes, how many cups of pancake mix will be required to yield 60 pancakes? report your answer as a whole number without any decimal places.

Answers

Using the concepts of unitary method, we got that 4 cups of  pancake mix will be required to yield 60 pancakes.

The unitary method is the method for solving the problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that one cup of pancake mix will yield 15 pancakes, and we are asked to yield 60 pancakes.

So,15 pancakes will be yielded by as many as pancake mix=1

therefore, 60  pancakes will be yielded by as many as pancake mix=(60/15)=4.

Hence, if one cup of pancake mix will yield 15 pancakes, then  4 cups of pancake mix will be required to yield 60 pancakes.

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The area of a circle is 25pieft2. What is the circumference, in feet? Express your answer in terms of pie​

Answers

The circumference of the circle in feet is 10π feet.

According to the question,

We have the following information:

Area of the circle = 25π square feet

We know that the following formula is used to find the area of circle:

π[tex]r^{2}[/tex] where r is the radius of the circle

π[tex]r^{2}[/tex] = 25π

Dividing by π on both the sides:

[tex]r^{2}[/tex] = 25

r = 5 feet ...(1)

We know that the following formula is used to find the circumference of circle:

2πr

Putting the value of r from equation 1:

2π*5

10π feet

Hence, the circumference of the circle in feet is 10π feet.

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by collecting the appropriate data, the students can determine the relationship between the acceleration of the cart and the net force exerted on the cart. which of the following graphs should the students produce to show the correct relationship?

Answers

Force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity.

Forces it to accelerate in the direction of the force , this is a vector quantity that is represented in newtons.

net force = total pulling force = weight of the hanging mass.

Force will remain constant.

acceleration = constant pulling force / total mass to be pulled.

acceleration also remain constant.

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which of the following cannot be determined using only the information in the database? responses the date when a certain movie was purchased the greatest number of times the date when a certain movie was purchased the greatest number of times the number of movies purchased by an individual subscriber for a particular month the number of movies purchased by an individual subscriber for a particular month the total number of cities in which a certain movie was purchased the total number of cities in which a certain movie was purchased the total number of movies purchased in a certain city during a particular month

Answers

Answer: The answer would be B, The number of movies purchased by an individual subscriber for a particular month.

Step-by-step explanation:

Looking at the problem and graph it can be determined there is a day and date purchased. But there isn't a time frame over the course of a few months.

Using only the information in the database, we can conclude that the answer will be B, The number of movies purchased by an individual subscriber for a particular month.

There is a day and date purchased, it can be seen by looking at the problem and graph. But there isn't a timeline that spans several months. A graph is a diagram or visual representation that organizes the presentation of facts or values. The points on a graph are typically used to depict the relationships between two or more things. A straightforward two-dimensional graph is created when a vertical and horizontal line join at the origin. The y axis is vertical and the x axis is horizontal. In simple line graphs, the x and y axes are divided into evenly spaced subdivisions and assigned integer values.

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Look at this graph:
10
9
8
7
5
4
3
2
1
0 1 2 3 4 5 6 7 8
What is the slope?

Answers

The slope of the line is -1

First we have to choose two points

The coordinates of the first point = (9, 1)

The coordinates of the second point = (8, 2)

The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line.

The slope of the line m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where m is the slope of the line

[tex](x_1,y_1)[/tex] is the coordinates of the first point

[tex](x_2,y_2)[/tex] is the coordinates of the second point

Substitute the values in the equation

The slope of the line = (2-1) / (8-9)

= 1 / -1

= -1

Hence, the slope of the line is -1

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A basketball has a volume of about 452.1 cubic inches. Fine the radius of the basketball in inches

Answers

The radius of the basket ball having volume 452.1 cubic inches is 4.76 inches.

What is the volume?

Volume is the 3 dimentional occupied space by any object. It is measured in SI units [tex]\textnormal{m}^3[/tex] and other derived units like [tex]\textnormal{in}^3[/tex].

All properties of a spherical shape is defined by its radius. The shape of a basketball is spherical hence, the formula of the volume is given by the followin expression:

[tex]V=\frac{4}{3}\pi r^3[/tex]

Here, V is the volume of the basket ball and r is the radius of the basket ball.

Rearrange the above equation for [tex]r[/tex].

[tex]3V=4\pi r^3\\\frac{3V}{4\pi}= r^3[/tex]

[tex]r=[\frac{3V}{4\pi}]^{1/3}[/tex]

Substitute values.

[tex]V=[\frac{3(452.1 \ \textnormal{cubic inches})}{4\pi}]^{1/3}\\=4.76 \ \text{inches}[/tex]

Hence, the radius of the basket ball is 4.76 inches.

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The product of 4 different positive integers is 30 .what is the sun of the integers

Answers

Answer:

11

Step-by-step explanation:

1x2x3x5 = 30  Product means the answer in a mulitplication problem.

Sum is the answer to an addition problem

1+2+3+5 = 11

Solve the equation.
3(-2x+1)-2(x+13)=7x-4(1-x)

Answers

x=-1

Step-by-step explanation:

3(-2x+1)-2(x+13)=7x-4(1-x)

-6x+3-2x-26=7x-4+4x

-8x+3=7x-4+4x+26

-8x+3=7x+4x+22

-8x+3=11x+22

-8x-11x=22-3

-19x=19

-19/19x = 19/-19

x = -1

3/4x - 3 = 5/6 Rewrite the equation below so that it does not have fractions.
Do not use decimals in your answer.

Answers

Answer:

18x - 72 = 20

Step-by-step explanation:

[tex] \rm \implies \dfrac{3}{4} x - 3 = \dfrac{5}{6} \\ \\ \rm \implies \dfrac{3}{4} x - 3 \times \frac{4}{4} = \dfrac{5}{6} \\ \\ \rm \implies\dfrac{3}{4} x - \frac{12}{4} = \dfrac{5}{6} \\ \\ \rm \implies \frac{3x - 12}{4} = \frac{5}{6} \\ \\ \rm \implies \frac{3x - 12}{ \cancel{4}} \times \cancel{4} = \frac{5}{6} \times 4 \\ \\ \rm \implies 3x - 12 = \frac{20}{6} \\ \\ \rm \implies (3x - 12) \times 6 = \frac{20}{ \cancel{6}} \times \cancel{6} \\ \\ \rm \implies 18x - 72 = 20 [/tex]

1. Fill in the missing Terms for the sequence
2. Find the number the sequence is going by
3. Write the explicit formula

Answers

The answer  r = 7, and the missing terms are -2, -14, -98, -686, -4802. in the Geometric progression.

What is Geometric progression?

A geometric progression, sometimes termed 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. A geometric progression with the common ratio 3 is, for instance, the sequence 2, 6, 18, 54,... A geometric series having a common ratio of 1/2 is also 10, 5, 2.5, 1.25, etc.

By calculating the product of the values of a set of numbers, the Geometric Mean (GM) is the average value or mean that denotes the central tendency of the data. The average of the data set's numbers is defined by the mean. There are several distinct forms of means, including arithmetic mean (AM), geometric mean (GM), and harmonic mean (HM).

Here 1st term a = -2

4th term given is ar³= -686

r³= -686/-2

r=∛343

a) r=7

2nd term will be  -14

3rd term will be -98

5th term will be -4802

b) -2, -14, -98, -686, -4802.

Hence, r = 7, and the missing terms are -2, -14, -98, -686, -4802.

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sketch a graph that shows the relationship between grams of honey and cups of flour needed for a bakery recipe. Show on the graph how much honey is needed for 17 cups of flour

Answers

Sketch a graph that shows the relationship between grams of honey and cups of flour needed for a bakery recipe. To know how much honey is needed for 17 cups of flour

Given data:

Let flour x grams plotted on x-axis

honey y grams plotted on y-axis

We have 2 points to find the slope of linear equation

[tex]m = \frac{y_{2}- y_{1} }{x_{2}- x_{1} } = \frac{35-14}{25-10} = \frac{21}{15} = \frac{7}{5} = 1.4[/tex]

[tex](x_{1}, y_{1}) = (10,14)\\ \\(x_{2}, y_{2}) = (25,35)[/tex]

Linear equation is

y = mx+c

[tex]y = \frac{7}{5}x+c = 1.4x+c[/tex]

Adding points (10,14) in above equation

[tex]y = \frac{7}{5}x+c \\\\14 = \frac{7}{5}*10+c\\ \\[/tex]

c = 0

So, the relation between x grams of flour requires y grams of honey is

[tex]y = \frac{7}{5}x[/tex]

or

y = 1.4x

When x = 17

[tex]y = \frac{7}{5}*17 = 23.8[/tex]

Hence the answer is, y = 23.8 g of honey is needed for 17 cups of flour.

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Which statement is the correct interpretation of the inequality –5 > –6? (1 point)

a
On a number line, −5 is located to the left of 0 and –6 is located to the right of 0.
b
On a number line, −5 is located to the right of 0 and –6 is located to the left of 0.
c
On a number line, −5 is located to the left of –6.
d
On a number line, −5 is located to the right of –6.

Answers

The correct statement of the inequality representation is d On a number line, −5 is located to the right of –6.

What is a number line?

A number line is a horizontal representation of parts with equal intervals

The numbers in a number line is arranged to be increasing from left to right , hence drawing a number line will have the smaller values to the left of the bigger values

-5 > -6

this is read as -5 is greater than -6 therefore

-6 will at the left of -5 or -5 will be to the right of -6

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What effect do you think the sample size have on the mean of the sampling distribution of the mean?.

Answers

The effect that sample size on the mean of the sampling distribution has is that it effects the variations .

In the question ,

If the sample size is increased ,

which means if the number of sample is increased then the errors in the sampling distribution becomes very less .

and if the sample size is decreased then it leads to the increase in the error  of the distribution .

The formula for the relationship between variation and sample size is given by ,

σx = σ / sqrt (n)

we can see that the variation and sample size are inversely proportional .

Which means that increase in the sample size results in a reduction of variation.

Therefore , The effect that sample size on the mean of the sampling distribution has is that it effects the variations .

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how culture makes us thin or fat answer key Kirk has just moved to Vindale and wants to check out some nearby restaurants. Starting from home, he drives 15 kilometers west, 45 kilometers east, and 75 kilometers west. Which direction must Kirk go to get back to his home? Select the choice that represents the two-variable equation after it has been solved for y in terms of x.3(y + 2) - 4x = 0 Recall the formula for GDP. A local news agency reports that "An increase in imports has reduced GDP this quarter." Is this statement true or false? Why? Given the ordered pair (-5, 4), name the coordinates after a rotation of 90 counter-clockwise. where is the arista found on calliphoridae? group of answer choices on the lateral turgum of the prothorax under the halteres on the antennae (it's part of the antennae) near the base of the wing on the lateral portion of the mesothorax what is the probability of rolling a small straight on the first round? round your answer to have three decimal places. enter your solution into variable as a result of britain's violation of the declaration of london by blockading the north sea, germany began this: A car salesperson earns a monthly salary of $800 per month plus $250 for each car sold. The equation y = 250x + 800 represents the total monthly salary. Graph the equation using the slope and y-intercept. What symbols of power and authority do you see inthis painting? How does the person in this paintingwant to be remembered? What is the role of the centralnervous system in this model?O coordinatorO effectorO responseO stimuli Hiw did Erie canal affect travel between the east and the midwest? Will Social Security be around for you? Why or why not? What is the problem? Will the problem last? How can it be fixed? Will Social Security go away! What are the political implications? (One paragraph answer) one key concern of franchising is the protection of the total business system that a franchise offers. true or false what does correlation investigate? select one: a. linear association between two numeric variables b. variances between two numeric variables c. association between two categorical variables d. differences of means between two numeric variables The real world is a complicated place and the economic categories of traditional, command,and market economies are not always the most accurate. What is a more accurate descriptor forthe American economyA. Deregulated economyB. A direct economyC. A Mixed economyD. A layer cake economy Directions: Read each quotation from the text. Then identify the type of rhetorical appeal used.A 2015 study looked at brothers raised in different families and found that those who grew up in families with more educated parents had IQ scores 4.4 points higher than their siblings raised in more impoverished environments. Surely it is preferable to assume that we can affect intelligence by offering rich educational opportunities to stretch and grow their brains. We may not all develop into Einsteins, but given the right environment, we will surely all develop, and achieve, and succeed. If you assume that the intelligence assigned to you at birth is all you can ever achieve, you are condemning yourself to a life in which your income and happiness are preset as well! (2a^2 +a + 3) divided by (a - 1) In your lab, the mass of your product is less than the mass of your reactants. You recall that atoms are not created or destroyed in a chemical reaction, they are just rearranged from the reactants to form the products. You are afraid you have misunderstood something, so you ask your teacher for some help. She reminds you that if a chemical reaction is completed in a closed system then the mass will remain constant. But if the chemical reaction happens in an open system the mass may appear to change. What can account for this apparent difference?A The chemical reaction is in a closed system and the reactantsare all solid, while the products are liquid.B The chemical reaction is in an open system and the reactantsare all liquid, while the products are solid.C The chemical reaction is in an open system and a gas is beingreleased into the atmosphere.D The chemical reaction is in a closed system and a gas is beingused as a reactant. Ken hikes a trail at a constant rate of 4/5 of a mile of a mile every 2/5 if an hour.he stops for a 3/4 hour lunch.he wants to hike at least 20 miles