Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ALMNOPQ?
Check all that apply.
M
AA
A. HL
B. SAS
C. AAS
D. ASA
E. LA
F. LL

Based Only On The Information Given In The Diagram, Which Congruencetheorems Or Postulates Could Be Given

Answers

Answer 1

Answer:

It has been a while. I think it is ASA and AAS

Answer 2

The triangles ΔLMN and ΔOPQ are congruent triangles by the ASA and AAS postulates

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔLMN

Let the second triangle be represented as ΔOPQ

Now , the measure of ∠MNL = 90°

The measure of ∠PQO = 90°

And , the measure of side MN = measure of side PQ

And , the measure of ∠MLN = measure of ∠POQ

So , the two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Therefore , the triangles are congruent by AAS and ASA theorems

Hence , the ΔLMN and ΔOPQ are congruent triangles

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Related Questions

Determine the number of zeros of the polynomial function. f(x) = x^3 + 7x^2 + 2

Answers

Answer:

  3

Step-by-step explanation:

The fundamental theorem of algebra tells you the number of zeros is equal to the degree of the polynomial.

__

application

The given degree-3 polynomial has 3 zeros.

__

Additional comment

Descarte's rule of signs tells you the absence of sign changes among the coefficients means that there are no positive real roots. Changing the sign of the one odd-degree term gives one sign change, so there is one negative real root. The other two zeros are complex.

  one negative real zero, and two complex zeros

A graph confirms that the only real zero is negative and irrational, about -7.04.

g(x) f(x) = −6x − 3 cosine function with y intercept at 0, negative 3 h(x) = 2 cos(x + π) − 1 Using complete sentences, explain which function has the greatest y-intercept. (10 points)

full step by step process please.

Answers

A function assigns the values. The function that has the greatest y-intercept is h(x).

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

There are three function, g(x){given in the graph below}, f(x)= -6x-3, and -3h(x) = 2 cos(x + π) − 1, the y-intercept of the function is the point at which the graph intersects the y-axis. Therefore, the y-intercept are,

g(x) = -3

f(x) = -3

h(x) = 1

Hence, the function that has the greatest y-intercept is h(x).

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the product of a quarter of 3 more than a number a and 2 times a number b

Answers

Answer:

[tex] \frac{1}{4} (3a + 2b)[/tex]

The expression from the given condition is 1/4(3a+4b).

We have given that,

The product of a quarter of 3 more than a number a and 2 times a number b.

What is the quarter?

The quarter means divided into four equal or corresponding parts.

Therefore we get the expression from the given condition is

1/4(3a+4b).

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(5x+7)(8x+7) = 0
Find the two possible values.​

Answers

[tex](5x + 7)(8x + 7) \\ \\ 5x + 7 = 0 \\ \\ 5x = - 7 \\ \\ x = \frac{ - 7}{5} \\ \\ 8x + 7 = 0 \\ \\ 8x = - 7 \\ \\ x = \frac{ - 7}{8} .[/tex]

the values of x are -7/5 and -7/8 .

Hi!

___________________________________________________________

[tex]\rightsquigarrow\circ\boldsymbol{Answer.}\circ\leftharpoonup[/tex]

[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]

Set each factor equal to 0.

[tex]\twoheadrightarrow\sf 5x+7=0[/tex]

[tex]\twoheadrightarrow\sf 8x+7=0[/tex]

[tex]\bullet[/tex] Solve each equation

[tex]\twoheadrightarrow\sf 5x+7=0[/tex]

[tex]\bullet[/tex] Subtract 7 from both sides

[tex]\twoheadrightarrow\sf 5x=-7[/tex]

[tex]\bullet[/tex] Divide both sides by 5

[tex]\underline{\twoheadrightarrow\sf x=-\cfrac{7}{5}}[/tex]

[tex]\bullet[/tex] Now let's solve the second equation

[tex]\twoheadrightarrow\sf 8x+7=0[/tex]

[tex]\bullet[/tex] Subtract 7 from both sides

[tex]\twoheadrightarrow\sf 8x=-7[/tex]

[tex]\bullet[/tex] Divide both sides by 8

[tex]\underline{\twoheadrightarrow\sf x=-\cfrac{7}{8}}[/tex]

[tex]\bullet[/tex] Great job, we found the two possible values

--

Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]

--

what is the ratio of the radius of circle a to the radius of circle b?

Answers

Answer:

3:1

Step-by-step explanation:

Assuming that the edges of the circle are supposed to line up with the dotted lines of the graph, all you have to do is count how many lines are between the middle of the circle and the edge (either directly vertical or horizontal due to the graph we are using). We can see that the radius of circle A is approximately 3 units, while the radius of circle B is approximately 1 unit. So the ratio of the radius of circle A to the radius of circle B is 3:1.

Answer:

3:1

Step-by-step explanation:

because once count the radius of the big circle that is 3 unit and the radius of small circle is 1 unit

Please help
Tell me the solution of this question .. if 7+9=254016 , 3+7=7779240 , 5+8=2496000 then 4+5=?

Answers

Based on the data given on the number pattern, 4 + 5 = 180

Number pattern

7 + 9 = 254016

3 + 7 = 7779240

5 + 8 = 2496000

7 + 9 = (7 × 9)^|7-9| × (7 + 9) × |7 - 9)

= 69² × 16 × 2

= 4761 × 16 × 2

= 254,016

3 + 7 = (3×7)^|3-7| × (3+7) × |3-7|

= 21⁴ × 10 × 4

= 194,481 × 10 × 4

= 7,779,240

So,

4 + 5 = (4×5)^|4-5| × (4+5) × |4-5|

= 20¹ × 9 × 1

4 + 5 = 180

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Solve the following system of equations:
4x − 2y − z = −5
x − 3y + 2z = 3
3x + y − 2z = −5
(0, 1, 3)
(0, −1, 3)
(0, 1, −3)
(0, −1, −3)​

Answers

Answer: (0, 1, 3)

Step-by-step explanation:

Adding the second and third equations, we get [tex]4x-2y=-2[/tex]Multiplying both sides of the first equation by 2, we get that [tex]8x-4y-2z=-10[/tex]. Adding this to the second equation, we get that [tex]9x-7y=-7[/tex].

If we multiply both sides of the equation [tex]4x-2y=-2[/tex] by 7, we get [tex]28x-14y=-14[/tex].

If we multiply both sides of the equation [tex]9x-7y=-7[/tex] by 2, we get [tex]18x-14y=-14[/tex].

Subtracting the equation [tex]28x-14y=-14[/tex] from the equation [tex]18x-14y=-14[/tex], we get that [tex]-10x=0 \longrightarrow x=0[/tex].

This means that [tex]4(0)-2y=-2 \longrightarrow y=1[/tex]

And thus, [tex]4(0)-2(1)-z=-5 \longrightarrow -2-z=-5 \longrightarrow z=3[/tex].

So, the solution is (0, 1, 3).

Eli read 1 book in 5 months If he read constantly how many books did he read?

Answers

Answer:

(life span - age when he started reading)/5months =number of books he read

Step-by-step explanation:

(life span - age when he started reading)/5months =number of books he read

factor completely

0.09y² - 0.81

Answers

Answer:

[tex]0.09y^2 - 0.81 = (0.3y+0.9)(0.3y-0.9)[/tex]

Step-by-step explanation:

The difference of squares formula gives us

[tex]a^2 - b^2 = (a+b)(a-b)[/tex]

(you can multiply this out to confirm)

[tex]0.09y^2 = (0.3y)^2[/tex]

and

[tex]0.81 = 0.9^2[/tex]

Thus, by the difference of squares formula

[tex]0.09y^2 - 0.81 = (0.3y+0.9)(0.3y-0.9)[/tex]

look at the picture

Answers

the answer to the question is the first answer choice

Please help !!! I will give 20 points to correct answer !!!!

Answers

Answer:

the answer above the image

Answer:

a=-4/3, 14/3

Step-by-step explanation:

absolute value only makes the answer become positive whether the value inside is negative or positive.
so -3a+5=9 or -3a+5=-9 all works

-3a+5=9

-3a=4

a=-4/3

If -3a+5=-9

-3a=-14

a=14/3

5, 3.1.24

f(x) = 3x² + 5; find f(x + 3) - [f(x) + 3]

Answers

Given that [tex]f(x) = 3x^2 + 5[/tex], we have

[tex]f(x + 3) = 3 (x + 3)^2 + 5 \\\\= 3 (x^2 + 6x + 9) + 5 \\\\= 3x^2 + 18x + 32[/tex]

so that

[tex]f(x+3) - (f(x) + 3) = (3x^2 + 18x + 32) - (3x^2 + 8) \\\\= \boxed{18x + 24}[/tex]

Giraffe Jack is 19 feet tall, and Ostrich Jim is 9 feet tall. A) What percent of Jack's height is Jim's height? B)What percent of Jim's height is Jack's height?

Answers

A percentage is a way to describe a part of a whole. Jim's Height is 47.37% of Jack's height.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Giraffe Jack is 19 feet tall, and Ostrich Jim is 9 feet tall.

A.) The percent of Jack's height is Jim's height,

Percentage = (Height of Jack/Height of Jim) × 100%

                   = 19/9 × 100%

                   = 211.11%

Hence, Jack's Height is 211.11% of Jim's height.

B.) The percent of Jim's height is Jack's height,

Percentage = (Height of Jim/Height of Jack) × 100%

                   = 9/19 × 100%

                   = 47.37%

Hence, Jim's Height is 47.37% of Jack's height.

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Answer:

211.11%

Step-by-step explanation:

EAsy math challenge! Click me!

Answers

Answer:

the answer is 64

Step-by-step explanation:

now atleast mark me brainliest answer

Lines l and m are parallel and intersect transversal p, as shown in the diagram below.


What is the value of n?

A 6
B 10
C 20
D 24

Answers

The answer is c
Explanation: believe me

The functions f(x) = x2 – 2 and g(x) = –x2 + 5 are shown on the graph.

The graph shows f of x equals x squared minus 2, which is an upward opening parabola with a vertex at 0 comma negative 2 and a point at negative 1 comma negative 1 and a point at 1 comma negative 1. The graph also shows g of x, which is a downward opening parabola with a vertex at 0 comma 5 and a point at negative 1 comma 4 and a point at 1 comma 4.

Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?

y > x2 – 2
y ≥ –x2 + 5

Answers

We will need to shade the region above f(x) and the region below the function g(x)…

How to transform the graph into the solution set?

We have:

f(x) = x² - 1

g(x) = -x² + 4

Both of these are already graphed, and we want to transform it into:

y > f(x)

y ≤ g(x)

The first inequality means that we need to graph f(x) with a dashed line, because f(x) is not part of the solution, and then we shade all the region above f(x)…

For the other inequality, we use a solid line (because the points on the line are solutions) and then we shade the part below the curve…

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5m³ into cm³
Show the answer step by step ​

Answers

Answer: So you want to convert 5 cubic meters into cubic centimeters? If you're in a rush and just need the answer, the calculator below is all you need. The answer is 5000000 cubic centimeters.

Step-by-step explanation:

The function y=(x-4)2+3 is a transformation of the function y=x2. How is the functions vertex affected by the transformation?

Answers

It is shifted 4 units right and 3 units up.

Fill in the blank. In the triangle below, x=?. Round your answer to two decimal places.

Answers

Answer:

x = 31.5, y = 41.7, z = 48

Step-by-step explanation:

use the rule that cos (x)  = adjacent/hypotenuse:

you know that x (the angle) = 42 and the adjacent side = 35, so:

cos (42) = 35/y

y = 35/cos(42)

y = 47.1

then, to find x:

use the fact that tan (x) = opposite side/adjacent side

so tan (42) = x/35

x = 35tan(42)

x = 31.5

finally, you know all 3 angles of the triangle have to add up to 180, so to find z you can do:

z + 90 + 42 = 180

z + 132 = 180

z = 48

Boxes of tins are delivered to a shop. There are 37 boxes. Each box contains 25 tins. How many tins are there?​

Answers

Answer:

Step-by-step explanation:

it equal 925 tins in total when you multiply 37 times 25. Hope that helps

what is the median \
66, 51, 77, 68, 60, 75, 54, 80

Answers

The median is both 66 and 68

The graph of the cube root parent function y = RootIndex 3 StartRoot x EndRoot is translated to form f(x) shown on the graph.

On a coordinate plane, a cube root function goes through (negative 7, 0), has an inflection point at (negative 6, 1), and goes through (2, 3).

Which equation represents f(x)?

f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1
f(x) = RootIndex 3 StartRoot x minus 6 EndRoot + 1
f(x) = RootIndex 3 StartRoot x + 6 EndRoot minus 1
f(x) = RootIndex 3 StartRoot x minus 6 EndRoot minus 1

Answers

Step-by-step explanation:

The graph of the cube root parent function y = RootIndex 3 StartRoot x EndRoot is translated to form f(x) shown on the graph.

On a coordinate plane, a cube root function goes through (negative 7, 0), has an inflection point at (negative 6, 1), and goes through (2, 3).

Which equation represents f(x)?

f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1

f(x) = RootIndex 3 StartRoot x minus 6 EndRoot + 1

f(x) = RootIndex 3 StartRoot x + 6 EndRoot minus 1

f(x) = RootIndex 3 StartRoot x minus 6 EndRoot minus 1

Answer:

Step-by-step explanation:

The translation of the parent function is:

g(x) = ∛(x + 6) + 1

How do translations work?

There are two types of translations, these are:

Horizontal translation:

For a function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N)

If N is positive, the translation is to the left.

If N is negative, the translation is to the right.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

If N is positive the translation is upwards.

If N is negative the translation is downwards.

Here we start with the parent function:

f(x) = ∛x

And we apply two translations such that:

g(x) = ∛(x + a) + b

Such that:

g(-7) = 0

g(2) = 3

Then we have the system of equations:

∛(-7 + a) + b = 0

∛(2 + a) + b = 3

From the options, the only ones that make the first option true are:

g(x) = ∛(x + 6) + 1

Such that when evaluated in x = -7 we get:

g(-7) =  ∛(-7 + 6) + 1 =  ∛(-1) + 1 = 0

When evaluated in x = 2 it gives:

∛(2 + 6) + 1 =  ∛(8) + 1 = 2+ 1 = 3

So the only option that meets these conditions is:

g(x) = ∛(x + 6) + 1

Which is a translation to the left of 6 units and up 1 unit.

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Circle G is shown. Line segment F G is a radius with length 3.
In circle G, r = 3 units. Maria draws a circle with double the area of circle G.

What is the area of Maria’s circle?

6Pi units squared
9Pi units squared
12Pi units squared
18Pi units squared

Answers

By definitions of the area of a circle and area ratios, we conclude that the area of the circle drawn by Maria is equal to a value of 18π units squared.

What is the area of the circle?

In this question we have a circle whose radius (r) is kwown. Besides, we know that Maria draws a circle with double the area of the prior circle. The area of the circle (A) is described by the following formula:

A = π · r²     (1)

Then, we have that the area drawn by Maria is:

A = 2 · [π · 3²]

A = 18π

By definitions of the area of a circle and area ratios, we conclude that the area of the circle drawn by Maria is equal to a value of 18π units squared.

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Answer:

18π units squared

Step-by-step explanation:

On edge

What is the inverse of p>q

Answers

Inequalities help us to compare two unequal expressions. The inverse of p>q is p<q.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.


Given the inequality that p is greater than q, therefore, the inverse of it will be p smaller than q. Thus, The inverse of p>q is p<q.

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Tim has 9 pencils in his book bag. Jaime has 3 more pencils than Tim. Which of the following equations would describe n, the number of pencils that Jaime has in her book bag?

Answers

The equation is 9+3=12

Examine the following three premises: i. All kids who have a smartphone play mobile legends.
ii. All people who play mobile legends enjoy life.
iii. Some college instructors enjoy life. Now consider each of the following six conclusions. For each conclusion, determine whether the argument formed by the three premises and the conclusion is valid or invalid.
1. Therefore, some college instructors have a smartphone.
2. Therefore, some college instructors play mobile legends.
3. Therefore, some kids who play mobile legends are college instructors. Examine the following three premises :
i . All kids who have a smartphone play mobile legends .
ii . All people who play mobile legends enjoy life .
iii . Some college instructors enjoy life . Now consider each of the following six conclusions . For each conclusion , determine whether the argument formed by the three premises and the conclusion is valid or invalid .
1. Therefore , some college instructors have a smartphone .
2. Therefore , some college instructors play mobile legends .
3. Therefore , some kids who play mobile legends are college instructors .​

Answers

Answer:

The increasing number of students who are hooked on playing online mobile games (OMG) is alarming. As such, this study was realized to address the problem. This study assessed the gaming profile towards OMG and its relation to the academic performance of the engineering students of Eastern Visayas State University Tanauan Campus (EVSUTC). Specifically, the study investigated the correlation between student's number of hours spent on playing OMG (at school and home), commonly played OMG (at school and home), reasons for playing OMG and attitudes on playing OMG with academic performance utilizing Eta and Pearson r correlation analyses. A random sample of 134 student respondents were selected through purposive sampling of those who are playing OMG using their mobile phones. Descriptive correlational research design was utilized and a validated survey instrument was employed to gather the needed information. The findings revealed that majority of the students played mobile legends and spent mostly 2 hours playing OMG for a reason of boredom. The overall attitudes of the students on playing OMG were interpreted as Less Favorable (M=2.58, SD=1.13). Out of the independent variables being set in the study, the number of hours spent on playing OMG at home (r=-0.188, p=0.039) and commonly played OMG at school (r=0.203, p=0.045) were found significantly correlated with student's academic performance. Hence, the students' time spent on playing OMG at home and the type of games that students played at school have significant bearing to their academic performance. As such, delimiting student's usage of internet can be made to address the problem.

The Royal Fruit Company produces two types of fruit drinks. The first type is 35% pure fruit juice, and the second type is 60% pure fruit juice. The company is attempting to produce a fruit drink that contains 45% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 40 pints of a mixture that is 45% pure fruit juice?

Answers

32 pints of each of the two existing types of drink must be used to make 40 pints of a mixture that is 45% pure fruit juice.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let x be the pints of 60% pure fruit juice

0.60x + 0.35(40 - x) = 0.40(40)

x = 8

= 40 - 8 (pints of 35% juice)

= 32

Thus, 32 pints and 8 pints of each of the two existing types of drink must be used to make 40 pints of a mixture that is 45% pure fruit juice.

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The graph of a function is shown on the coordinate plane below.



Between which two values of x is the function nonlinear and increasing?

A -5 and -3
B -3 and 1
C 1 and 4
D 4 and 6

Answers

The answer to this question is choice B

Determine the equation of the line with slope m=2/3, passing through the point (0,4)

Answers

Answer:

y = 2/3x + 4

Step-by-step explanation:

The slope-intercept form is y=mx+b. m (the slope) is equal to 2/3, so you can substitute that number in for m. B is the y value of the y-intercept. The y-intercept is (0,4) as given in the problem, so the value of b is 4. You can substitute that value into the equation as well.

A consultant needs to make at least $600 this week. She earns $120 for each
new written piece and $60 for each review. Which of the following inequalities
represents the possible combinations of reviews and new written pieces that
she must complete?
OA. 120x+60 y ≤ 600
OB. 120x+60y < 600
O C. 120x+60y 2 600
OD. 120x+60y > 600
SUBMIT

Answers

The answer is A, She need to make equal to or more than 600 so that <_600 and since there each behind 120 an 60 they both have variables
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A greedy hamster hoarded 2 piles of sunflower seeds. Yesterday the ratio of the seeds in these piles 3:4; but today the greedy hamster placed another 2 pounds of seeds in the bigger pile. He also ate 1/4 pound from the smaller pile and now the quantities of seeds in those piles is in the ratio of 5:16. What was the weight of each pile yesterday Which sentence most needs to be revised because its description is too vague?We hiked two miles uphill in the blooming forest today.O We sprinted back and forth in the stuffy high school gym.O We had to walk up several flights of stairs to get there.O We stretched and then slowly jogged once around the track. some of the international causes of the Great Depression a client finished a course of antibiotics for laryngitis but continues to experience persistent hoarseness. which symptom would cause the nurse to suspect laryngeal cancer? Given parallelogram STUV, what is the length of TV? 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At a self-service ice cream station, what is the best way to prevent chopped nuts from cross-contact with the other toppings?O label the toppings separatelyO use large, open containers with spoonsO use small, closed containers with a spoutO place the nuts on top of the ice cream dispenser Appoints judgesABPresides overimpeachment hearingsThe arrows in the illustration represent checks on the power of each branchof government. Which branch of government fits in each blank?OA. A = legislative branch; B = executive branchOB. A = executive branch; B = judicial branchOC. A legislative branch; B = judicial branchOD. A = executive branch; B = legislative branch Pls how can I write an email Read the two excerpts."Remembering to Never Forget: Dominican Republic's 'Parsley Massacre by Mark Memmott:Seventy-five years ago, thousands of Haitians were murdered in the Dominican Republic by a brutal dictator. It was one of the 20th Century's least-remembered acts of genocide.As many as 20,000 people are thought to have been killed on orders given by Rafael Trujillo. But the "parsley massacre went mostly unnoticed outside Hispaniola. Even there, many Dominicans never knew about what happened in early October 1937. They were kept in the dark by Trujillo's henchmen."A Genetics of Justice by Julia Alvarez:At this point I would always ask her why she and my father had returned to live in the country if they knew the dictatorship was so bad. And that's when my mother would tell me how, under pressure from his friends up north, Trujillo pretended to be liberalizing his regime. How he invited all exiles back to form political parties. How he announced that he would not be running in the next elections. My father had returned only to discover that the liberalization was a hoax staged so that the regime could keep the goodwill and dollars of the United States.My father and mother were once again trapped in a police state.How do the passages work together to develop a central idea?The passages show how Alvarezs family was affected by the parsley massacres when they returned.The passages show how Alvarez and her family were tricked into returning to the Dominican Republic.The passages show how people often did not know or understand the extent of Trujillos deceit.The passages show how the events of Trujillos dictatorship are still not fully understood today. Select ALL the correct answers.Read the excerpt from paragraph 1.We remember a time when the Potomac River was choked with algae. When Lake Erie was dying. When too many coastal waters were degraded. When too many urban rivers and beaches were open sewers. When too many communities didn't have clean, safe water they could depend on.Which two statements describe how Gore uses rhetoric to advance a point of view in this paragraph?He uses the bandwagon appeal to suggest that he is part of a group of people who are making good environmental choices.He uses figures of speech to encourage the audience to imagine new environmental futures.He uses logos to build a reasonable argument about the importance of environmental policy.He uses parallelism to emphasize some of the environmental problems Americans had to solve.He uses ethos to establish credibility and build the audience's trust about his environmental expertise.He uses pathos to provoke the audience's emotional response toward environmental problems. My grandmother fell in the street, but a kindly ________ helped her. A permanent change in the DNA sequence of a gene what are the zero of f(x)=x(x-8) a patient in stable narrow-complex tachycardia with a peripheral iv in place is refractory to the first dose of adenosine. which dose would you administer next? A sample of 40 11th graders were asked to select a favorite pattern out of 6 choices. the following display shows what their favorite color patterns were. the counts have been recorded in the accompanying table according to pattern and the number of students who selected that pattern. what is the missing value in the table? color pattern frequency blue on gray 4 green 6 pink polka dots ? purple 8 red and orange stripes 7 yellow 3 Which of the following is calculated by finding the product of the length,width, and height of a prism?A. PerimeterB. Surface areaC. Lateral areaD. Volume