Triangles F G H and F J H share common side F H. Sides F G and G H are congruent. Sides F J and J H are congruent.
Which explains whether ΔFGH is congruent to ΔFJH?

They are congruent because GH ≅ GF, JF ≅ JH, and FH ≅ FH.
They are congruent because opposite sides of a parallelogram are congruent.
They are not congruent because only one pair of corresponding sides is congruent.
They are not congruent because only two pairs of corresponding sides are congruent.

Answers

Answer 1

ΔFGH is congruent to ΔFJH They are not congruent because only one pair of corresponding sides is congruent.

The correct option is (C)

What is Congruency?

Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.

Given:

ΔFGH and ΔFJH share common side FH. Sides FG and GH are congruent.

As, per the information, it can be seen that the triangles are not congruent as one pair of corresponding side is not congruent.

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Answer 2

Answer: C

Step-by-step explanation: edge


Related Questions

AC and BD bisect eachother prove AB || CD and BC ll AD

Answers

1) [tex]\overline{AC}[/tex] and [tex]\overline{BD}[/tex] bisect each other (given)

2) [tex]\overline{AE} \cong \overline{EC}[/tex] (a bisector splits a segment into two congruent parts)

3) [tex]\overline{BE} \cong \overline{ED}[/tex] (a bisector splits a segment into two congruent parts)

4) [tex]\angle BEA \cong \angle CED[/tex] (vertical angles are congruent)

5) [tex]\triangle BEA \cong \triangle DEC[/tex] (SAS)

6) [tex]\angle EBA \cong \angle EDC[/tex] (CPCTC)

7) [tex]\overline{AB} \parallel \overline{CD}[/tex] (converse of alternate interior angles theorem)

8) [tex]\angle DEA \cong \angle BEC[/tex] (vertical angles are congruent)

9) [tex]\triangle AED \cong \triangle BEC[/tex] (SAS)

10) [tex]\angle BCE \cong \angle EAD[/tex] (CPCTC)

11) [tex]\overline{BC} \parallel \overline{AD}[/tex] (converse of alternate interior angles theorem)

Patrons (P) Revenue (R)
32
480
500
550
750
33
40
60
81

1,215
Find a linear model for the data.

Answers

The linear model for the data is expressed as: R = 20p - 160.

How to Write a Linear Model?

Using two pairs of values from the table values, say, (32, 480) and (33, 500), find the unit rate (m).

Unit rate (m) = (500 - 480)/(33 - 32) = 20/1

Unit rate (m) = 20.

Substitute (p, R) = (32, 480) and m = 20 into R = mp + b to find b

480 = 20(32) + b

480 = 640 + b

480 - 640 = b

b = -160

To write the linear model, substitute m = 20 and b = -160 into R = mp + b:

R = 20p - 160

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please help me im in a rush 25 points

Answers

Answer:

74 yards squared

Step-by-step explanation:

Divide the shape up into 2 3x5 rectangles and one 11x4 rectangle

2(3x5)+11x4=30+44=74

74 yards squared

if the reserve ratio is 50%, and $10,000 in new deposits is added to the banking system, how much of the new deposits is the bank required to keep on hand? (eco class
$5000

$500

$1500

$50

Answers

Step-by-step explanation:

5,000 by dividing 10.000

$5000 of the new deposits is the bank required to keep on hand.

The answer is option A.

What is problem-solving?

Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

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Which is larger? a or -a

Answers

Answer:

a. a is bigger than -a

b. a is equal to -a

c. a is less than -a

Step-by-step explanation:

Let's say a = 2

If a > 0, 2 > -2

If a = 0, 0 = -0; -0 and 0 are the same

Let's say a = -1

If a < 0, -1 ? -(-1)

-1 < 1

abcd is a trapizium calculate the area of the area of abcd 10 9 7 15

Answers

The area of the trapezoid is 87.5 square cm if the parallel side lengths are 10 and 15 cm, the height is 7 cm.

What is a trapezoid?

It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.

The question is incomplete.

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

We have a trapezoid ABCD shown in the picture.

As we know the area of the trapezoid is given by:

= (a+b)h/2

= (10+15)(7/2)

= 87.5 square cm

Thus, the area of the trapezoid is 87.5 square cm if the parallel side lengths are 10 and 15 cm, the height is 7 cm.

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Select the correct answer. Find the inverse of the given function. f(x) = (x+3)^3-1

Answers

The inverse function of f(x) is [tex]f^{-1}(x) = \sqrt[3]{x + 1} - 3[/tex]

How to determine the inverse function?

The function is given as:

f(x) = (x + 3)^3 - 1

Rewrite as:

y = (x + 3)^3 - 1

Swap x and y

x = (y + 3)^3 - 1

Add 1 to both sides

(y + 3)^3 = x +  1

Take the cube root of both sides

[tex]y + 3 = \sqrt[3]{x + 1}[/tex]

Subtract 3 from both sides

[tex]y = \sqrt[3]{x + 1} - 3[/tex]

Rewrite as:

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

Hence, the inverse function of f(x) is [tex]f^{-1}(x) = \sqrt[3]{x + 1} - 3[/tex]

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PLEASE HELP I NEED THIS SOON! The monthly revenue of a digital magazine from each user is represented by the function f(x) = 4x + 1. The monthly cost to provide the digital magazine to each user per month is represented by the function g(x) = x2. Which of the following evaluates the profit function for each user of the digital magazine after 2 months?

A (f • g)(2) = (4(2) + 1)(22) = (9)(4) = $36
B (f + g)(2) = (4(2) + 1) + 22 = 9 + 4 = $13
C (g − f)(2) = 22 − (4(2) + 1) = 4 − 9 = −$5
D (f − g)(2) = (4(2) + 1) − 22 = 9 − 4 = $5

Answers

Answer:

The answer is D(f-g)

Step-by-step explanation:

Profit minus expenses

Answer:

D

Step-by-step explanation:

The profit can be defined as (cost of production) - (revenue) and since the cost is defined as g(x) = x^2 and the revenue is f(x) = 4x+1. The profit can be defined as [tex](f-g) = (4x+1)-x^2 = -x^2+4x+1[/tex]. After 2 months you can calculate the profit by simply plugging in 2 as x. This gives you the equation: [tex](f-g) = (4(2) + 1) - 2^2 = 9-4 = 5\$[/tex]

Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random with replacement. Define the random variable X X as the number of defective cameras in the sample. Write the binomial probability distribution for X X . Round to two decimal places. X X P ( X ) P(X) What is the expected value of X X ? Round to two decimal places.

Answers

The Expected value of XX is 1.00.

Given that a box contains 8 cameras and that 4 of them are defective and 2 cameras is selected at random with replacement.

The probability distribution of the hypergeometric is as follows:

[tex]P(x,N,n,M)=\frac{\left(\begin{array}{l}M\\ x\end{array}\right)\left(\begin{array}{l}N-M\\ n-x\end{array}\right)}{\left(\begin{array}{l} N\\ n\end{array}\right)}[/tex]

Where x is the success in the sample of n trails, N represents the total population, n represents the random sample from the total population and M represents the success in the population.

The probability distribution for X is obtained as below:

From the given information, let X be a random variable, that denotes the number of defective cameras following hypergeometric distribution.

Here, M = 4, n=2 and N=8

The probability distribution of X is obtained below:

The probability distribution of X is,

[tex]P(X=x)=\frac{\left(\begin{array}{l}5\\ x\end{array}\right)\left(\begin{array}{l}8-5\\ 2-x\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}[/tex]

The probability distribution of X when X=0 is

[tex]\begin{aligned}P(X=0)&=\frac{\left(\begin{array}{l}4\\ 0\end{array}\right)\left(\begin{array}{l}8-4\\ 2-0\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left(\begin{array}{l}4\\ 0\end{array}\right)\left(\begin{array}{l}4\\ 2\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left[\left(\frac{4!}{(4-0)!0!}\right)\times \left(\frac{4!}{(4-2)!2!}\right)\right]}{\left(\frac{8!}{(8-2)!2!}\right)}\\ &=0.21\end[/tex]

The probability distribution of X when X=1 is

[tex]\begin{aligned}P(X=1)&=\frac{\left(\begin{array}{l}4\\ 1\end{array}\right)\left(\begin{array}{l}8-4\\ 2-1\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left(\begin{array}{l}4\\ 1\end{array}\right)\left(\begin{array}{l}4\\ 1\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left[\left(\frac{4!}{(4-1)!1!}\right)\times \left(\frac{4!}{(4-1)!1!}\right)\right]}{\left(\frac{8!}{(8-2)!2!}\right)}\\ &=0.57\end[/tex]

The probability distribution of X when X=2 is

[tex]\begin{aligned}P(X=2)&=\frac{\left(\begin{array}{l}4\\ 2\end{array}\right)\left(\begin{array}{l}8-4\\ 2-2\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left(\begin{array}{l}4\\ 2\end{array}\right)\left(\begin{array}{l}4\\ 0\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left[\left(\frac{4!}{(4-2)!2!}\right)\times \left(\frac{4!}{(4-0)!0!}\right)\right]}{\left(\frac{8!}{(8-2)!2!}\right)}\\ &=0.21\end[/tex]

Use E(X)=∑xP(x) to find the expected values of a random variable X.

The expected values of a random variable X is obtained as shown below:

The expected value of X is,

E(X)=∑xP(x-X)

E(X)=[(0×0.21)+(1×0.57)+(2×0.21)]

E(X)=[0+0.57+0.42]

E(X)=0.99≈1

Hence, the binomial probability distribution of XX when X=0 is 0.21, when X=1 is 0.57 and when X=2 is 0.21 and the expected value of XX is 1.00.

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You have just started a colony on Mars. One of the biggest concerns for the colony is government. What is your colony going to do? You must discuss three topics. First, of the five government types discussed in the lesson, what type will you use to make sure your colony operates smoothly? Second, what powers will your government have, and what powers will the people living in the colony have? Third, explain why you believe the government type you choose is the best option for your colony. please help

Answers

Answer:

we will use democracy so that everyone gets a say in what happens to the colony, second the government will make the decisions and the people will provide options and different ideas, and i believe its the best type because everyone has a say in what happens and the government isn't too powerful and has as much power as the people do.

Step-by-step explanation:

There are 5 trees with 6 birds in each tree. 4 birds fly away. How many birds are left?
Angela has 108 pieces of candy. If she gives each person 4 pieces, how many people can she give candy to?

Answers

first question is 6x5=30-4=26. so there are 26 birds left

108/4= 27 so there are 27 people

Line l has slope −4/5, and contains points (a,−6),(−8,a). Determine the value of a. SHOW YOUR WORK

Answers

Answer:

a = 2

Step-by-step explanation:

[tex] \frac{a - ( - 6)}{ - 8 - a} = - \frac{4}{5} [/tex]

[tex] \frac{a + 6}{a + 8} = \frac{4}{5} [/tex]

[tex]4(a + 8) = 5(a + 6)[/tex]

[tex]4a + 32 = 5a + 30[/tex]

[tex]a = 2[/tex]

If diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building? round the answer to the nearest tenth of a foot. 10.3 ft 17.6 ft 30.2 ft 97.2 ft

Answers

Answer:

17.6 ft

Step-by-step explanation:

tan 37 = 130/x

x = 130/tan 37 = 130/0.7536 = 172.5 feet

tan 40 = 130/y

y = 130/tan 40 = 130/0.8391 = 154.9

172.5 - 154.9 = 17.6 ft

Answer:

17.6 Ft

Step-by-step explanation:

Geometry B E2020!! :3

What is the volume of the composite figure? 6 cm 6 cm 18 cm 6 cm 6 cm 10 cm 8 cm V = [?]cm³ 6 cm What is the volume of the composite figure ? 6 cm 6 cm 18 cm 6 cm 6 cm 10 cm 8 cm V = [ ? ] cm​

Answers

Answer:

2304 cm³

Step-by-step explanation:

To find the volume of a composite figure, it is easiest to break it down into smaller, more recognizable shapes.

here, we can break our shape into two sections: the green section and the blue section

then, we will add the volumes of these shapes together

green section's volume:

note: you could also calculate this as four separate cubes

to find the volume of a rectangle, we need to multiply

length × width × height

here, our length is 12 (6 + 6); our height is 12 (6 + 6); and our width is 6

let's multiply these together: (12)(12)(6) = 864

so, the volume of the green section is 864 cm³

now, let's work with the blue section:

once again, the volume for a rectangle is length × width × height

here, our length is 18, our height is 10, and our width is 8

let's multiply these together: (18)(10)(8) = 1440

so, the volume of the blue section is 1440cm³

now, we can add our sections together:

1440 + 864 = 2304

meaning that the volume of the composite figure is 2304 cm³

hope this helps!! have a lovely day :)

Please help question in the picture

Answers

Answer:

D

Step-by-step explanation:

D is correct because the sqrt of 91 is 9.5 and 9<9.5<10 makes absolute sense

C is not correct because the sqrt of 33 is 5.7 and 6<5.7<7 does not make sense

B is not correct because the sqrt of 13 is 3.6 and 4<3.6<5 does not make sense

A is not correct because the sqrt of 65 is 8.06 and 7<8.06<8 does not make sense

Write an algebraic equation to match this graph.

Answers

Using translation concepts, the algebraic equation that matches the graph is given by:

y = |x - 1| - 1

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the function y = |x| is:

Shifted one unit right, hence x -> x - 1.Shifted one unit down, hence y -> y - 1.

Thus the algebraic equation that matches the graph is given by:

y = |x - 1| - 1

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PLEASE HELP I HAVE 45 min to SUBMIT WILL GIVE BRAINL

Answers

The average rate of change from x=1 to x= 4 is -0.7

How to solve for the rate of change

We have f(1) to be 3

while we have f(4) as 1

The average rate of change can be solved as

f(4) - (f(1) / 4 - 1

This is solved as

1 - 3 / 4 - 1

= -2 / 3

= -0.7

Hence the average rate of change for the graph that we have above is -0.7

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A golf club manufacturer measures the impact elasticity of a new material. This is done by randomly selecting a driver head made from the new material, firing a golf ball at it from an air cannon (under carefully controlled conditions), and making certain measurements of the ball's motion. These measurements are used to calculate a number called the coefficient of restitution of the driver head. Engineers use this procedure 30 times. The sample mean coefficient of restitution is 0.835. Calculate a 99% confidence interval for the true mean coefficient of restitution, assuming the population standard deviation of such coefficients is 0.019. Round your answers to the fourth decimal digit.

Answers

The confidence interval for the true mean coefficient of restitution is (29.9911,30.0089).

Given sample mean coefficient of restitution 0.835,population standard deviation of 0.019 and the confidence level of 0.835.

We have to find the confidence interval for the true mean coefficient of restitution.

We can easily find the confidence interval through the formula of margin of error.

Margin of error is the difference between the calculated values and the real values.

Margin of error=z*σ/[tex]\sqrt{n}[/tex]

where z is the z value of p value,

σ is population mean or sample mean,

n is the sample size.

In our problem the sample size is 30.

z value for the p value of 0.99 is 2.576.

Margin of error=2.576*0.019/[tex]\sqrt{30}[/tex]

=0.048944/5.4772

=0.0089

Upper level=mean +margin of error

=30+0.0089

=30.0089

Lower level=Mean-margin of error

=30-0.0089

=29.9911.

Hence the confidence interval for the true mean coefficient of restitution is (29.9911,30.0089).

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Prism A is similar to Prism B. The volume of Prism A is 4320 cm³.

What is the volume of Prism B?


34,560 cm³

2160 cm³

1080 cm³

540 cm³
Rectangular prism A has a right angle in one corner of its base, and one side of the base is twelve centimeters. Rectangular prism B has a right angle in one corner of its base, and the same one side of the base is six centimeters.

Answers

Answer:

D

Step-by-step explanation:

please help me im in a rush

Answers

Answer:

[tex] \frac{x}{y} = \frac{10}{5} \\ = \frac{5}{1} [/tex]

1. •°• y is 5 times x

[tex] \frac{x}{y} = \frac{30}{5} \\ = \frac{6}{1} [/tex]

2. •°• y is 6 times x

[tex] \frac{x}{y} = \frac{56}{8} \\ = \frac{7}{1} [/tex]

3. •°• y is 7 times x

[tex] \frac{x}{y} = \frac{88}{11} \\ = \frac{8}{1} [/tex]

4. •°• y is 8 times x

[tex]2 \times \frac{7}{4} [/tex]

•°• y is 2 times x

[tex]5 \times \frac{7}{4} [/tex]

•°• y is 5 times x

[tex]8 \times \frac{7}{4} [/tex]

•°• y is 8 times x

[tex]11 \times \frac{7}{4} [/tex]

•°• y is 11 times x

Jen and marcus got 15 miles up river before they ran out of gas they floated 9 miles back down river before they reached the shore how far did they get

Answers

Answer:

they reached the shore they get 135 miles

I dnt really understand WILL GIVE BRAINLIEST THOUGH

Answers

Answer: (1, -5)


x = 1


y = -5


*Hope this helps, enjoy the rest of your day! ♥️*

Answer: (1, -5)

Step-by-step explanation:

I got you...

In solving system of equations there are three ways..

lets use addition

First we need to cancel out one of the variables

Lets cancel out the y

In order to do this lets multiply the top equation by -2 to get 2y and 4y to cancel out.

(-2)(-9x+2y) = -19(-2)

18x - 4y = 38

Now our system looks like this:

18x - 4y = 38

5x  + 4y = -15

lets add these together

18x - 4y = 38

5x  + 4y = -15   +

= 23x = 23

x = 1

We know x = 1, so substitude 1 for x in one of the equations

5(1) + 4y = -15

5 + 4y = -15

4y = -20

y = -5

This is the y value

Our final answer is (1, -5)

As an ordered pair

One fifth of r is 15 how would I write that in an equation

Answers

Answe1/5 of r = 15

Step-by-step explanation:

1/5 r=

Omar is playing a computer game. He starts with 0 points wins 8 points loses 6 points 4 times and the wins 2 points. Which integer represents Omar’s score

Answers

The integer that represents Omar's score is -14.

What is the  integer represents Omar’s score?

Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero.

When Omar wins, the points are added and when he losses, the points are subtracted.

0 + 8 - (6 x 4) + 2

0 + 8 - 24 + 2 = -14

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Riddle-if you solve it i will delete your answer and you have to post the riddle. Riddle-you enter a room. 2 dogs, 4 horses, 1 giraffe and a duck are lying on the bed. 3 chickens are flying over a chair. How many legs are on the ground? don’t play if you’re not to continue.

Answers

Considering the number of legs of each animal, it is found that there are 56 legs on the ground.

How many legs does each animal have?

Dogs have 4 legs.Horses have 9 legs.Giraffes have 4 legs.Ducks have 2 legs.Chickens have 2 legs.

Hence the number of legs on the ground is given by:

N = 2 x 4 + 4 x 9 + 1 x 4 + 1 x 2 + 3 x 2 = 56.

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A function g(x) has x-intercepts at (startfraction 1 over 2 endfraction, 0) and (6, 0). which could be g(x)?

Answers

If function has points (1/2,0) and (6,0) then [tex]g(x)=2x^{2} -13x+6\\[/tex]

Given x-intercepts at (1/2,0)(6,0) and we have to find the function g(x)

If the x-intercepts lie at (1/2,0)(6,0) then the function has roots of 6 and 1/2. Function is a relationship between variables having value of y for each value of x. Value of x is domain and value of y is known as codomain.

If we insert x=6 or x=1/2 into the equation of g(x) we will obtain 0 as under:

g(6)=0

In order to get 0 the equation will be x-6.

In order to get 0 for root the equation will be x-1/2.

but x-1/2 does not appear in any of these but its multiples can be there :

[tex]2(x-1/2)=2x-1[/tex]

Therefore the function will be as under:

[tex]g(x)=(x-6)(2x-1)[/tex]

[tex]g(x)=2x^{2} -x-12x+6[/tex]

[tex]g(x)=2x^{2} -13x+6[/tex]

Hence the function g(x) is [tex]g(x)=2x^{2} -13x+6[/tex].

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the question is in the attached picture​

Answers

Answer: [tex]\frac{1}{3} \sin x^{3}+C[/tex]

Step-by-step explanation:

Let [tex]u=x^3[/tex]. Then, [tex]3x^2 dx = du \longrightarrow x^2 dx =\frac{1}{3}du[/tex]

So, we can rewrite the original integral as

[tex]\frac{1}{3} \int \cos u \text{ } du=\frac{1}{3} \sin u+C=\frac{1}{3} \sin x^{3}+C[/tex]

find the perimeter of each of the rectangles whose sides are given as follows a. 5.5cm and 4.8 cm​

Answers

Answer:

here is what I came up with 26.4

For how many (not necessarily positive) integer values of n is the value 4000x(0.4)^n an integer?

I solved this, nevermind!

Answers

The number of integer values of n for which the value 4000 × (0.4)ⁿ is an integer is; 9

How to find the integer values in algebra?

We are given the expression;

4000 × (0.4)ⁿ

This can also be expressed as;

4000 × (²/₅)ⁿ which can further be expressed in exponent form as;

(2⁵ × 5³) × (²/₅)ⁿ = 2⁽⁵ ⁺ ⁿ⁾ × 5⁽³ ⁻ ⁿ⁾

Since this expression is an integer, we need:

1) 5 + n ≥ 0 for which n ≥ -5

2) 3 - n ≥ 0 for which n ≤ 3

Taking the intersection gives;

-5 ≤ n ≤ 3

Thus;

Number of Integer Values = 3 - (-5) + 1 = 9

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Please help me with this linear inequalities as graphs question!
I'd really appreciate if you added workings out and explained it a bit, as I'm terribly stuck.

Answers

The system of linear inequalities which satisfy the region R in the graph above are:

y ≤ 2x + 3y ≥ -x + 4y ≤ x + 4

How to find the inequalities?

Mathematically, the general equation of a straight line is given by y = mx + b.

In order to determine the system of linear inequalities that satisfy the region R, we would identify the points through which these straight lines passes through.

For the left line, we have:

y-intercept = 3.

x-intercept = -3/2.

Points (x, y) = (0, 3) and (-3/2, 0).

Thus, the inequality is given by:

(x/-3/2) + y/3 ≤ 1.

-2x + y ≤ 3

y ≤ 2x + 3

For the right line, we have:

y-intercept = 4.

x-intercept = 4.

Points (x, y) = (0, 4) and (4, 0).

Thus, the inequality is given by y ≥ -x + 4

For the lower line, we have:

y-intercept = 0.

x-intercept = 4.

Points (x, y) = (4, 0)

Thus, the inequality is given by y ≤ x + 4

In conclusion, the system of linear inequalities which satisfy the region R in the graph above are:

y ≤ 2x + 3y ≥ -x + 4y ≤ x + 4

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which of the following statements about monsoons are correct Why is Alfonso able to go out with Sandra in the end _____________ is a measurement of sales for comparable homes in a neighborhood. The analysis uses the supply and demand focus in determining the rate of sales and anticipated time that a home may remain on the market. A number from 1-50 is chosen at random. What is the probability of not selecting odd or a prime number? What is the centripetal acceleration of a point on the perimeter of a bicycle wheel of diameter70 cm when the bike is moving 8.0 m/s? CRITICAL THINKINGPrecursors of an animal germ cell has 12 ng of DNA in it G1 phase what would be amount of dna in its each daughter cell immediately after meiosis?A.24 ngB. 12 ngC. 6 ngD. 3 ng 2 historical sites built by each of the colonial powers Spain France in England 1 : Write an example sentence of a situation where it is reasonable to be paranoid. 2: Define the word paranoid Find (f-g)(x) where f(x) = -x^2, g(x) = -(x+4) Find x so that l || m. Commuting is a fundamental part of life for some people. Some people spend hours on the road to get from their homes to their jobs. They even wake up as early as 3 a.m. to catch buses or to begin their drives. So why do people choose to waste so much time on the road?For many people, the commutes first begin because of their jobs' locations. People will commute for good-paying jobs even if it means that they will have to travel to another county or farther. This is because many of the homes near their jobs are unaffordable and the jobs pay more than in rural areas. In other cases, working parents do not want to move their children away from good schools even though, sometimes, their jobs are far away. Because of this desire to have a good salary, an affordable home, and a fine school, commuters sacrifice time that can add up to over a month of lost time.In what way does the passage use its text structure?A. to put the chain of events for commuters in sequential orderB. to make a comparison between two different types of commutersC. to show the effect of catching a bus at 3 o'clock in the morningD. to explain why people commute over long distances for their jobs Diamonds are composed of __________ in a ___________lattice. A. silicon, trigonal planar B. quartz, octahedral lattice C. carbon, tetrahedral D. diamond, trigonal bipyramid Help Urgent In a Hurry1. What is the energy of photon having a frequency of a 4.5 106 Hz? (h = 6.6 10-34 J s)2. Calculate the energy of radiation of wavelength of 615 nm (h = 6.6 10-34 J s).3. Calculate the energy of radiation of wavelength of 300 nm (h = 6.6 10-34 J s).4. What is the energy of a photon having a frequency of 4 104 Hz? (h = 6.6 10-34 J s)5. A photon has a wavelength of 230 nm. Which of the following represents the energy of the photon? for (50) points i need help please answer What is your idea for creating a new and fresh Gaming experience around viewing occasions for Mike's? need help pleaseeeeeeeeeeeeee You are getting ready to launch your boat. Where should you park to load your equipment and gear? on the boat ramp with your trailer in the water on the boat ramp with your trailer still out of the water in front of another boat that is ready to launch well away from the boat ramp and approach lane You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a production of Les Misrables this year, and they need your help planning it.The company's first task is to cast the lead female roles of Fantine, adult Cosette, and ponine, and the lead male roles of Jean Valjean, Inspector Javert, and Marius. You have received headshots and resumes from 28 women and 22 men who are interested in auditioning for these parts.A: If no one has been cast yet, how many different ways are there to cast Fantine from the 28 women?B: If Fantine has already been cast, how many different ways are there to cast adult Cosette from the remaining women?C: If Fantine and adult Cosette have already been cast, how many different ways are there to cast ponine from the remaining women?Select one answer choice for part A, one answer choice for part B, and one answer choice for part C.B: 27P2C: 26C: 26!A: 28P3B: 27C: 26P1A: 28B: 27!A: 28!Question 2:A: Which of the following expressions will calculate the number of ways the three lead female roles could be cast?B: Evaluate the permutation from part A.Select one answer choice for part A, and one answer choice for part B.B: 3.0510^29A: 28P3B: 19656A: 3P28B: 5.0810^28A: 28P25 Are the following lines parallel, perpendicular, or neither: y=-x+6 and y=x+1 The measurement of Uric acid in 24-hour urine samples requires a specific sample collection procedure, part of which is the refrigeration of the sample. Refrigeration will: