If ABCD is a parallelogram,which statement would prove that ABCD is a rhombus?
(Picture is the choices to the question)

If ABCD Is A Parallelogram,which Statement Would Prove That ABCD Is A Rhombus?(Picture Is The Choices

Answers

Answer 1
Final answer:

To prove ABCD is a rhombus, showing that all sides of parallelogram ABCD are equal in length would suffice.

Explanation:

If ABCD is a parallelogram, to prove that it is a rhombus, a statement that would suffice is that all four sides of the parallelogram are of equal length.

This is because a rhombus is defined as a parallelogram with four congruent sides. If any one of its diagonals bisects an angle of the parallelogram, or its diagonals are perpendicular, or its diagonals are of the same length, these conditions would not exclusively prove it to be a rhombus, although they are properties of a rhombus. However, the definition of a rhombus centers on the equality of all sides.

Answer 2

Equal adjacent angles would not necessarily mean that all sides are equal, which is a requirement for a rhombus.

The correct option is (B).

To prove that a parallelogram is a rhombus, you need to show that all four sides are of equal length. A parallelogram has opposite sides that are equal and parallel, but for it to be a rhombus, every side must be equal in length to every other side.

The statement options you might have in your image could be something like:

a. Diagonals are perpendicular (AC ⊥ BD)

b. Adjacent angles are equal (∠ABC ≅ ∠CDA)

c. One pair of opposite sides are equal (AB ≅ CD)

d. Diagonals are equal (AC ≅ BD)

From these options:

- Option a: If the diagonals are perpendicular, it's an indication that the parallelogram could be a rhombus, but it's not conclusive proof because a rectangle also has perpendicular diagonals.

- Option b: Equal adjacent angles would not necessarily mean that all sides are equal, which is a requirement for a rhombus.

- Option c: Having one pair of opposite sides that are equal is already a property of a parallelogram and does not prove it's a rhombus.

- Option d: Equal diagonals would be a property of a rectangle, not necessarily a rhombus.

The conclusive proof that a parallelogram is a rhombus would be if you can show that all sides are of equal length (not provided in the typical options above), or if the diagonals are perpendicular and bisect each other into equal segments. This latter property is unique to a rhombus among parallelograms. If this were one of the choices, it would be the correct answer.

Since I can't see the options, please review them and look for the one that indicates all four sides are of equal length or that the diagonals bisect each other into equal segments and are perpendicular. That would be the correct choice to prove the parallelogram is a rhombus.


Related Questions

Cassie bought A new sweater at the mall. its original price was $60, but there was a 10% discount. how much did gossipy for this weather

Answers

Answer: $54

Step-by-step explanation:

Original price = $60

10% discount= 10/100 × 60

= 0.01 × 60 = $6

Amount cassie paid for the sweater is original price - discount

=$60 - 6

= $54

I hope this helps

Answer:

54$

Step-by-step explanation:

The total rainfall in March was 3.6 inches. In April, the total rainfall was as 1.4 times as much. What was the total rainfall in April?

Answers

Answer:

5.04 inches

Step-by-step explanation:

because the total rainfall in March was 3.6 inches and if the total rainfall in April was 1.4 times as much then you would take the total rainfall in March which was 3.6 inches and multiply that by 1.4 because it says the amount in April was 1.4 times as much.

Final answer:

The total rainfall in March was 3.6 inches. In April, the total rainfall was 1.4 times as much. The total rainfall in April is calculated by multiplying the March rainfall of 3.6 inches by 1.4, resulting in a total April rainfall of 5.04 inches.

Explanation:

The total rainfall in March was 3.6 inches. In April, the total rainfall was 1.4 times as much. To calculate the total rainfall in April, you multiply the March rainfall by 1.4. So, the calculation you'd do is 3.6 inches (March rain) times 1.4. This gives you 5.04 inches of rainfall in April. So, the total rainfall in April was 5.04 inches.

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Choose Yes or No to tell if the number 34 will make each equation true.


__ x 1/2 = 17
51 x 2/3 = __
__ x 3/8 = 12
300 x 1/9 __

Answers

Answer:

See below

Step-by-step explanation:

Let's check:

34*1/2 does equal 17, so Yes

51*2/3 does equal 34, so Yes

34*3/8 does not equal 12, so No

300*1/9 does not equal 34, so No

y=mx+b can someone break this down for me and help me understand it?​

Answers

Answer:

y=mx+b broken down is in the step by step explanation.

Step-by-step explanation:

y=mx+b is the y intercept formula.it is mostly used for slopes.

y is usually equal to the total,or final answer.it is the start.

m is equal to the slope.in the formula.it can also be used as the rise over run,which means the top number is the amount of units you go up for rise,and run is the bottom number which is the amount of units you move to the right.if it is negative,you move the opposite ways.if it is a single number,the bottom number can be 1.

x is equal to the number you multiply m,or the slope by.

b is equal to where you start on the vertical line in the graph.a way to remember it is horizontal is like a horizon,it’s flat.

after 4 hours a total of 1 inch of rain had fallen write the equation for the relationship between x and y​

Answers

Y= 4x + 1 , I am not so sure

Answer:

[tex]y=\frac{1}{4}x[/tex]    [tex]x=4y[/tex]

Step-by-step explanation:

Assuming

y = inches of rain

x = hours (The x latitude is usually used for time)

jenna brought a spool of ribbon that was 5 3/4 meters long. she used 3 1/4 meters of ribbon for a craft project. how many meters of ribbon does jenna have left?

Answers

Answer:

So the answer will be 2 2/4

Step-by-step explanation:

If you need me to explain more please tell me.Hope it helps.

Jenna is left with 2 1/2 meters of ribbon for future projects.

Jenna bought a spool of ribbon that was 5 3/4 meters long and used 3 1/4 meters of it for a craft project. To calculate how much ribbon she has left, we need to subtract the length of the ribbon used from the total length of the ribbon.

Convert mixed numbers into improper fractions: 5 3/4 = (5 × 4) + 3 = 23/4 and 3 1/4 = (3 × 4) + 1 = 13/4.

Subtract the second fraction from the first: 23/4 - 13/4 = (23 - 13)/4 = 10/4.

Simplify the result: 10/4 = 2 2/4 = 2 1/2 meters.

What is the inverse of y=(x-6)^2 +2 ?

Answers

Answer:

Step-by-step explanation:

Answer:

x=√y+2 + 6

Step-by-step explanation:

y=(x-6)^2+2

Substrate 2 from both sides

y-2=(x-6)^2

Square root both sides

√y-6=x-6

Add 6 to both sides

√y-6 +6= x

Therefore,x=√y-6 + 6

Which relation is not a function?

Answers

Answer: Choice D

[tex]y = \pm\sqrt{x}[/tex]

==================================================

Explanation:

The plus/minus indicates we have two equations, and they are

[tex]y = \sqrt{x} \text{ or } y = -\sqrt{x}[/tex]

If x is say x = 4, then y is both y = 2 and y = -2 at the same time.

A function is where any x input leads to exactly one and only one y output (assuming the x value is in the domain). Graphing out choice D shows that it fails the vertical line test. This is where a vertical line crosses through more than one point on the graph. For the other answer choices, it is impossible to draw a vertical line through more than one point on the graph, which visually shows they are functions.

The measure of an angle is 39°. What is the measure of its complementary angle?

Answers

Answer:

51

Step-by-step explanation:

Answer:

51°

Step-by-step explanation:

90 - 39 = 51

please help with the question below please and thank you!!!!

Answers

I wish I could help the answer is 76000

What is the next number and why ? 1,3,11,35,99,_

Answers

Answer: 241

Step-by-step explanation:

This is a simple problem when using Pascal's triangle. First you look at 1 - 3, what is the difference in these 2 numbers? Its 2, then you look at 3 and 11, the difference is 8, then 11 and 35, the difference is 24. If you keep doing this you get; 2 8 24 64 142. Next you find out how these numbers are different. In the end you keep doing this until you get to the triangles point or the differences converge.

                                          1      3      11      35     99      241

                                             2      8     24       64    142

                                                6      16      40      78

                                                     10     24      38

                                                          14       14

In the end we get 14 but there is no difference in the numbers so we cant go any farther. Hope this helps!

What is the solution to the inequality 4(x + 2) + 12 > 100

Answers

First, subtract both sides by 12:

4(x + 2) + 12 > 100
4(x + 2) > 88

While we could distribute the 4 into the parentheses and solve from their, it's so much easier and way less tedious to simply divide both sides by 4:

4(x + 2) > 88
x + 2 > 22
x > 20

Which information is a epposite isometry?

Answers

Math is ok I’m not good at it but I think it is 3

Answer: B) line reflection

The orientation will flip with a reflection. So if points A,B,C are going clockwise for instance, then A', B', and C' will go counterclockwise.

If twice a number, n, is 5 less than the number squared, which of the following equations could be used to properly solve for n?

Answers

Answer:

2n - 5 = n^2 (or n squared)

The equation that could be used to properly solve for n is [tex]n^2 - 2n - 5 = 0[/tex]

Mathematical equations

To properly solve for the number, n, based on the given information, you can use the equation:

[tex]2n = n^2 - 5[/tex]

This equation represents the statement "Twice a number, n, is 5 less than the number squared." It sets the twice of the number (2n) equal to the number squared minus 5 (n^2 - 5).

To solve for n, you can rearrange the equation as follows:

[tex]n^2 - 2n - 5 = 0[/tex]

You can then solve this quadratic equation for n using methods such as factoring, completing the square, or the quadratic formula.

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Find the missing side

Answers

Answer:

7

Step-by-step explanation:

1: 6 X _ = 18

2: 18/6 = 3

3: 21/3 = 7

H(y)=9/5 • 2y at y=-2

Answers

Answer:

[tex]H( - 2) = - 7 \frac{1}{5} [/tex]

Step-by-step explanation:

We want to evaluate the equation

[tex]H(y) = \frac{9}{5} \times 2y[/tex]

at y=-2

We just have to substitute to obtain;

[tex]H( - 2) = \frac{9}{5} \times 2 \times - 2[/tex]

We now multiply to get:

[tex]H( - 2) = \frac{9}{5} \times - 4[/tex]

This is the same as:

[tex]H( - 2) = \frac{9}{5} \times \frac{ - 4}{1} [/tex]

We multiply the numerators separately and denominators separately to get:

[tex]H( - 2) = \frac{9 \times - 4}{5 \times 1} [/tex]

[tex]H( - 2) = \frac{ - 36}{5} [/tex]

This implies that

[tex]H( - 2) = - 7 \frac{1}{5} [/tex]

Identify the numerical coefficient.
5b^6​

Answers

Answer:

5

Step-by-step explanation:

What is the value of X?
x = 32
x = 36
II 111111
x = 37
(x + 15)
(4x - 20°
x = 40

Answers

Answer:

Option D, x = 40

Step-by-step explanation:

Since x and (4x - 20) are supplementary, that means they add up to 180 degrees.

Step 1:  Make an equation

x + (4x - 20) = 180

Step 2:  Combine like terms

x + 4x - 20 = 180

5x - 20 = 180

Step 3:  Add 20 to both sides

5x - 20 + 20 = 180 + 20

5x = 200

Step 4:  Divide both sides by 5

5x / 5 = 200 / 5

x = 40

Answer:  Option D, x = 40

X + (4X - 20) = 180; so X = 40

Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?

A. When x = 3, both expressions have a value of 30.

B. When x = 5, both expressions have a value of 42.

C.When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.

D.When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39.

Answers

Answer:

A. When x = 3, both expressions have a value of 30.

Step-by-step explanation:

The first expression is 4(x+3)+2x

The second expression is 6(x+2).

When we substitute x=3 into the first equation, we get:

[tex]4(3 + 3) + 2(3) = 4 \times 6 + 6 = 24 + 6 = 30[/tex]

When we substitute x=3 into the second expression we get:

[tex]6(3 + 2) = 6(5) = 30[/tex]

This proves that the two expressions are equivalent.

The correct choice is A

Answer: A

Step-by-step explanation:

Hope this helps can i have brainly-est please

Trish made a few pans of Brownies to sell. Rachel also contributed 5 pans. Each pan of brownies was cut into 12 squares. If there were a total of 84 brownies, how many pans of brownies did Trish make.

Answers

Answer: 2 pans of brownies

Step-by-step explanation: ( i'm over 2 years late lol ) i drawed it because i'm lazy first draw rachels 5 pans ( just draw circles ) fill each circle up with 12 squares count them ( 60 ) now u need 24 more now on another piece of paper draw 2 circles and this is trish's side now fill each pan with 12 brownies trishs side has 24 brownies so....

                                       |

                          trish     |      rachel

                                24 + 60 = 84

trish has 2 pans overall

Which product is greater 9×15 or 9×17? Explain how you can trll without finding the products.

Answers

9x17 is greater. I’d say you can tell because 17 is greater than 15 so the product would be greater too

Please answer ASAP!! Consistently wash your hands for 1 minute.

Answers

Each peach costs $0.56 and the equations used to solve that is [tex]4x= 2.24[/tex] where x is the cost of 1 peach.

Step-by-step explanation:

Step 1:

It is given that all the peaches weigh the same and that 4 peaches weigh 1 pound.

Assume that each peach costs x.

So the cost for 4 peaches is given by [tex]4x.[/tex]

Step 2:

The cost of 1 pound of peaches is given as $2.24.

1 pound of peaches[tex]=4x.[/tex]

So [tex]4x= 2.24, x = \frac{2.24}{4}.[/tex]

[tex]x = 0.56.[/tex]

So each peach costs $0.56.

Need Help Since Schoo is Closed

Answers

Answer:

32

Step-by-step explanation:

let a = 5

a² + 7 | Original equation

5² + 7 | Substitution of a as 5

25 + 7 | 5 to the power of 2 is 25, as 5*5 = 25.

32       | 25 + 7 = 32

Answer:

2-2-2

History

The 2-2-2 configuration appears to have been developed by Robert Stephenson and Company in 1834, as an enlargement of their 2-2-0 Planet configuration, offering more stability and a larger firebox. The new type became known as Stephenson's Patentee locomotive.[1] Adler, the first successful locomotive to operate in Germany, was a Patentee supplied by Robert Stephenson and company in component form in December, 1835 was one of the earliest examples. Other examples were exported to the Netherlands, Russia and Italy.[2] By 1838 the 2-2-2 had become the standard passenger design by Robert Stephenson and Company.[3]

Eighteen of the first nineteen locomotives ordered by Isambard Kingdom Brunel for the opening of the Great Western Railway in 1837/8 were of the 2-2-2 type.[4] These included six 2-2-2 locomotives built by Charles Tayleur at his Vulcan Foundry. Also in 1837 the successful North Star broad gauge locomotive was delivered to the Great Western Railway by Stephenson, becoming the first of a class of twelve locomotives by 1841.

Great Western Railway North Star at Swindon

Later UK developments

Sharp, Roberts and Company constructed more than 600 2-2-2 locomotives between 1837 and 1857. Ten of these supplied to the Grand Junction Railway became the basis of Alexander Allan's successful designs for the railway from 1845 (the first of which, formerly named Columbine, is preserved). J. & G. Rennie supplied 2-2-2 locomotives to the London and Croydon Railway from 1838 and the London and Brighton Railway in 1840.[5] Arend ("eagle") was one of the two first steam locomotives in the Netherlands, built by R. B. Longridge and Company of Bedlington, Northumberland in 1839.

The Great Western Railway continued to order both broad gauge and standard gauge locomotives on the railway, including the Firefly and Sun classes (1840–42), which were enlarged versions of North Star. Bury, Curtis, and Kennedy supplied six 2-2-2 locomotives to the Bristol and Gloucester Railway in 1844, and fourteen to the Great Southern and Western Railway in Ireland in 1848, (the last of these has been preserved at Cork Kent railway station.

The original "Jenny Lind" locomotive, 1847.

The Jenny Lind locomotive, designed by David Joy and built in 1847 for the London Brighton and South Coast Railway by the E.B.Wilson and Company of Leeds, became the basis of hundreds of similar passenger locomotives built during the 1840s and 1850s by this and other manufacturers for UK railways. The London & North Western Railway Cornwall locomotive was designed at Crewe Works as a 4-2-2 by Francis Trevithick in 1847, but was rebuilt as a 2-2-2 in 1858.

Although by the 1860s the 2-2-2 configuration was beginning to be superseded by the 2-4-0 type with better adhesion, the invention of steam sanding gave 2-2-2 singles a new lease of life, and they continued to be built until the 1890s. Notable late examples include William Stroudley's singles of 1874-1880, William Dean's 157 class of 1878-79,[6] and his 3001 class (1891–92),[7][8] both for the Great Western Railway. James Holden of the Great Eastern Railway created some 2-2-2 singles in 1889 by removing the coupling rod from a 2-4-0.

Belgium

Replica of 'Le Belge' 1835

The first steam railway locomotive built in Belgium in 1835, and was built by John Cockerill under license to a design by Robert Stephenson & Co. It was built for use on the first main line on the European mainland, the Brussels-Mechelen line.[9] A replica was built at the workshops of Boissellerie Cognaut for the 150th anniversary of the formation of Belgium.[10]

Italy

Two 2-2-2 locomotives were imported from Longridge and Co of Bedlington Ironworks England for the Naples–Portici railway in 1839 named Bayard and Vesuvio. A replica of 'Bayard is at the Naples Railway Museum.[11]

Germany

Most of the earliest locomotives to operate in what is now Germany before the mid-1840s were 2-2-2s delivered by UK manufacturers. However, by 1839 the type was also being built locally see List of Bavarian locomotives and railbuses. The Pegasus of 1839 was the first locomotive to be built by the Sächsische Maschinenbau-Compagnie in Chemnitz. August Borsig and Company manufactured Beuth in 1843 which was highly successful; its valve design became de facto standard for locomotives for decades to come.[12] By 1846 he had manufactured more than a hundred similar locomotives. Both the Leipzig-Dresden Railway and Royal Bavarian State Railways (Königlich Bayerische Staatsbahn) built several 2-2-2 classes 1841-1859. Similarly, the Grand Duchy of Mecklenburg Friedrich-Franz Railway grouped various 2-2-2 steam locomotives procured from German manufacturers between 1848 and 1863 into its Mecklenburg I class.

 

–2(g − 13) + 15 = 1


how do you do this

Answers

Answer:

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Answer:

g = 20

Step-by-step explanation:

−2 (g − 13) + 15 = 1

Step 1: Simplify both sides of the equation.

−2 (g−13) + 15 = 1

(−2) (g) + (−2) (−13) + 15 = 1 (Distribute)

−2g + 26 + 15 = 1

(−2g) + (26 + 15) = 1 (Combine Like Terms)

−2g + 41 = 1

−2g + 41 = 1

Step 2: Subtract 41 from both sides.

−2g + 41 − 41 = 1 − 41

−2g = −40

Step 3: Divide both sides by -2.

−2g/−2 = −40/−2

g = 20

chords ac and bd intercept at e if ae=6 ec=12 and dc=18 how long is be

Answers

Option A:

The length of BE is 4.

Solution:

Given data:

AE = 6, EC = 12 and DE = 18

To find the length of BE:

If two chords intersect in a circle, then the product of lengths of one segment is equal to the product of lengths of other segment.

⇒ AE × EC = DE × BE

⇒ 6 × 12 = 18 × BE

⇒ 72 = 18 × BE

Divide by 18 on both sides of the equation.

⇒ 4 = BE

Switch the sides.

BE = 4

The length of BE is 4.

Option A is the correct answer.

What rate of interest compounded annually is required to double an investment
in 18 ​years?

Answers

Answer:

[tex]r=3.93\%[/tex]

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=18\ years\\ P=x\\A=2x\\ r=?\\n=1[/tex]  

substitute in the formula above

[tex]2x=x(1+\frac{r}{1})^{1*18}[/tex]  

[tex]2=(1+r})^{18}[/tex]  

Elevated both sides to 1/18

[tex]2^{\frac{1}{18}} =1+r[/tex]

[tex]r=2^{\frac{1}{18}} -1[/tex]

[tex]r=0.0393[/tex]

convert to percentage

Multiply by 100

[tex]r=3.93\%[/tex]

I’m at so confused !!

Answers

Answer:

hope it helps you see the attachment for further information

Which graph shows the solution to the system of linear inequalities below? y>2x+1 y<2x-3

Answers

Option D: Graph C is the solution to the system of linear inequalities.

Explanation:

The system of linear inequalities are [tex]y \geq 2 x+1[/tex] and [tex]y<-2 x-3[/tex]

Let us graph the inequality [tex]y \geq 2 x+1[/tex]

Let us substitute the coordinate [tex](0,0)[/tex] in the inequality [tex]y \geq 2 x+1[/tex], we get,

[tex]0 \geq 2 (0)+1[/tex]

[tex]0 \geq1[/tex]

This is false. Hence, the solution does not contain the coordinate [tex](0,0)[/tex]

Thus, let us shade the upper part of the line in the graph.

Similarly, let us substitute the coordinate [tex](0,0)[/tex] in the inequality [tex]y<-2 x-3[/tex], we get,

[tex]0<-2 (0)-3[/tex]

[tex]0<-3[/tex]

This is false. Hence, the solution does not contain the coordinate [tex](0,0)[/tex]

Thus, let us shade the lower part of the line in the graph.

The solution to the system of linear inequality is the intersection of the two regions.

Thus, the solution of the inequality is Graph C.

Hence, Option D is the correct answer.

a line passes through the points -3 -4 and 6 2 what is the Y intercept of this line? -3 -2 2 or 3​

Answers

Answer:

y=-2

Step-by-step explanation:

Hello : let  A(-3,-4)    B(6,2)

the slope is :   (YB - YA)/(XB -XA)

(2+4)/(6+3)  = 6/9 = 2/3

an equation is the line is : y = ax+b        a is a slope

y = (2/3)x+b

but this line passes by (6;2)

so : 2 = (2/3)(6)+b

b = -2

the equation is : y = (2/3)x-2

the the Y intercept of this line when : x= 0   so : y = (2/3)(0)-2

y=-2

Determine all the zeros of m(x) = x² - 4x + 3 , algebraically

Answers

The values of the zero are 1 and 3 if the quadratic function is m(x) = x² - 4x + 3 after solving algebraically.

What is a quadratic equation ?

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

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

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

We have quadratic function:

m(x) = x² -4x + 3

m(x) = x² -x - 3x + 3

m(x) = x(x -1) -3(x - 1)

m(x) = (x - 1)(x - 3)

x -1 = 0 or x -3 = 0

x = 1  or  x = 3

Thus, the values of the zero are 1 and 3 if the quadratic function is m(x) = x² - 4x + 3 after solving algebraically.

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The zeros of the quadratic function m(x) = x² - 4x + 3 are found using the quadratic formula, yielding two solutions, x = 1 and x = 3.

To find the zeros of the quadratic function m(x) = x² - 4x + 3, we first note that it is already in standard form, with a = 1, b = -4, and c = 3. The quadratic formula, which states if ax² + bx + c = 0, then x = (-b ± √(b² - 4ac)) / (2a), can be used to find the solutions. Substituting the values, we get:

x = (4 ± √((-4)² - 4(1)(3))) / 2(1)

x = (4 ± √(16 - 12)) / 2

x = (4 ± √4) / 2

x = (4 ± 2) / 2

This results in two solutions:

x = (4 + 2) / 2 = 6 / 2 = 3

x = (4 - 2) / 2 = 2 / 2 = 1

Therefore, the zeros of the function m(x) are 1 and 3.

Other Questions
Kris is staining 30 wooden rectangular fence pieces. The fence pieces are different sizes, and Kris wantsto determine the approximate number of square feet of paint she will need. She decides to take a sampleof 4 fence pieces and calculate the mean of the areas instead of calculating the area of each fence piece.Which is a true statement about this problem?A. The sample size is 30,B. The population is the 4 fence piecesC. The mean area of the 4 fence pieces is a parameterD. The mean area of the 4 fence pieces multiplied by 30 would be similar to the total area. In ABC , line AB is extended up to point E and line BC is extended up to D . The measure of some of the angles is given as; BAC=70 and EBC=120 . An insulated rigid tank is divided into two equal parts by a partition. Initially, one part contains 4 kg of an ideal gas at 700 kPa and 59C, and the other part is evacuated. The partition is now removed, and the gas expands into the entire tank. Determine the final temperature and pressure in the tank. 21, 28, and 36 units is a triangle The method of Lagrange multipliers assumes that the extreme values exist, but that is not always the case. Show that the problem of finding the minimum value of f(x, y) = x^2 + y^2 subject to the constraint can be solved using Lagrange multipliers, but does not have a maximum value with that constraint. The act of influencing others to accomplish an objective is typically seen in which of the following environments?a Business environmentsb. Goverment environmentsC. Military environmentsd. All of the above In 2016, sports newscaster Erin Andrews and former wrestler Hulk Hogan were both awarded substantial monetary damages after winning their respective cases involving invasion of privacy. It is believed that the juries in both cases wanted to sanction the defendants by sending a clear message that individuals privacy must be respected regardless of who they are. The type of monetary damages awarded in these two cases are described as_______________.a. Nominal damagesb. Compensatory damagesc. Punitive damagesd. Consequential damages Highlight the transition words used in this students essay.When Greg walks away, he is angry at first. But then he meets strange, old Lemon Brown. After a scary encounter with the old man, he learns what real treasure is. As a result, Greg returns home, feeling differently than he did at the beginning of the story.Which transition phrase leads into the writers conclusion? What factor(s) in the US south led to the Great Migration of almost 6 million African-Americans to the Mid-West and North during the early to mid 20th Century? structure for forloop? Reducing (and sometimes eliminating) the size of engineering staffs has become a recent trend among airlines since they are no longer as involved with the design of new aircraft. A. True B. False A __________ system is a system of social inequality in which people's status is permanently determined at birth based on their parent's ascribed status. HELP ME PLEASE BE QUICK An IT department submits a purchase order to buy a new computer from a vendor. "Purchase orders" are documents issued by buyers that indicate a purchase they want to make from a seller. Which stage of the hardware lifecycle does this scenario belong to? Which best describes why renting a place to live is generally cheaper than buying a home?Mortgage interest rates are generally higher than the interest rates on other loans.Apartments and town houses are usually much smaller than single-family houses.Renters don't own anything as a result of their payments, while homeowners do.Housing prices can go up and down quickly in comparison to the level of rents. ________ cultures are more likely to be satisfied when the quality of reliability and service provider responsiveness are strong. Individualistic Collectivistic Pessimistic Optimistic George Lawler and John Claydon were lawyers who maintained separate law practices in the same office space. They shared the expenses of that space but never shared clients, did not commingle their funds, and did not share profits or losses from their practices. A sign identified the office as "Claydon and Lawler," and the same joint listing of names appeared on sta-tionery they both used and in their telephone listing. Claydon introduced Lawler to his clients as his part-ner. In phone conversations, Lawler identified himself as Claydons partner. Is there a risk that Lawler will be liable on contracts and torts made by Claydon? Solve the equation:12/x = 3/2 Where do glaciers form? Where do glaciers form? in places where more snow falls in the winter than melts away in the summer in places where more snow falls in the summer than melts away in the winter in places where more snow falls in the winter than falls in the summer in places where more snow melts away in the winter than melts away in the summer Consider the four points used in Problem 1: (-9,13), (-3, 9), (3, 6) and (9, 1) Three out of four of these points lie on one line. Which one of the four points does not lie on the same line as the other three? Justify your answer using slope. b) Find the equation of the line that contains three out of the four points Steam Workshop Downloader