Quadrilateral ABCD has both reflection and rotation symmetry. What type of quadrilateral could it
be? Show or explain.

[tex]\\ \sf\longmapsto 1^2\times \dfrac{1}{4}m^2[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{4}m^2[/tex]

Now

[tex]\\ \sf\longmapsto \dfrac{1}{4}m^2\times -6m[/tex]

[tex]\\ \sf\longmapsto \dfrac{-6}{4}m^3[/tex]

[tex]\\ \sf\longmapsto \dfrac{-3}{2}m^3[/tex]

The inequality that represents all possible values for x is  x ≥ -27.

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The given statement can be written in terms of inequality as,

2/3x - 6 ≥ -24

=> 2/3x  ≥ -24 + 6

=> 2/3x  ≥ -18

=> x ≥ -27

Hence, the inequality expression for the given problem can be written as x ≥ -27.

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Answer:

heres the square root of 20 4.47214 but i dont know what else to do for this answer. (sorry)

Step-by-step explanation:

√20 = √(4 * 5) = √4 * √5 = 2√5 ≈ 4.47214

Answer:

1.5 Or C :)

Step-by-step explanation:

Answer:

[tex]d=2[/tex] and [tex]d=3[/tex]

Step-by-step explanation:

[tex]d^2-5d+6=0[/tex]

[tex](d-2)(d-3)=0[/tex]

[tex]d=2[/tex] and [tex]d=3[/tex]

Step-by-step explanation:

[tex] \sf \pink{ ii) a boy is selected}[/tex]

Answer:

Um Sorry I Didn't Understand

Answer:

30+4x

Step-by-step explanation:

Well, break it up into pieces: two rectangles.

[tex]5x + 3 = - 9 \\ = > 5x = - 9 - 3 \\ = > 5x = - 12 \\ = > x = \frac{ - 12}{5} \\ = > x = - 2 \frac{2}{5} [/tex]

Option A .

[tex] - 2 \frac{2}{5} [/tex]

Answer:

5

Step-by-step explanation:

14x - 8x = 30

5x = 30

x = 6

..........

Answer:

solution

14x=8x+30

collect like terms

30=8x-14x

30= -6x

divide by -6x

30/-6 = -6x/-6

X= –5

Based on the evaluation of information given, the true statements for the option are ;

Given the packages for State University and Greenlawn College :

Green lawn scholarship = $60000 - $9000 = $51000

State university = $28000 - $12000 = $18000

The net price is the amount which the student actually pays for entry. Hence, Green lawn College is the best option for Janelle if decison is strictly based on cost.

A sticker price of $28000 is lesser than $60000. Hence, State University has a lower sticker price.

In determining, net price, the family income is a strong factor which is usually considered.

Hence, the false statement is ; if making a decision strictly based on cost, janelle's' best option is state university

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Eat the Legendry Fruit: And play King legcy

Step-by-step explanation:

Answer:

x = 60°, y = 100°, z = 120°, w = 80°

Step-by-step explanation:

x and 120° are adjacent angles on a straight line and sum to 180°

x + 120° = 180° ( subtract 120° from both sides )

x = 60°

Similarly

y + 80° = 180° ( subtract 80° from both sides )

y = 100°

and

z + 60° = 180° ( subtract 60° from both sides )

z = 120°

--------------------------------------------------------------------

The sum of the interior angles in a quadrilateral = 360°

sum the interior angles of the quadrilateral and equate to 360°

60° + 80° + 120° + 4th angle = 360°

260° + 4th angle = 360° ( subtract 260° from both sides )

4th angle = 100°

w and 100° are adjacent angles on a straight line and sum to 180° , so

w + 100° = 180° ( subtract 100° from both sides )

w = 80°

Answer:(0,4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2x+32) (3x-5)

(2x+3x) (32-5)

(5x*27)

hope this helps

Answer:

3/8 is is bigger then 3/12

Step-by-step explanation:

The reason is that 3/12 is equivalent to 2/8 and 3/8 is equivalent to 6/16

Sorry if its wrong! ^^""

As, 0.375> 0.25, so, 3/8 is greater than 3/12.

Here, we have,

To get the answer, we first convert each fraction into decimal numbers.

We do this by dividing the numerator by the denominator for each fraction as illustrated below:

3/8 = 0.375

3/12 = 0.25

Then, we compare the two decimal numbers to get the answer.

0.375 is greater than 0.25.

i.e. 0.375> 0.25, as 0.375 - 0.25 = 0.125

Therefore, 3/8 is greater than 3/12.

Hence, As, 0.375> 0.25, so, 3/8 is greater than 3/12.

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Answer:

option D

Step-by-step explanation:

this trianle will be congurent by SSS method easily

Answer:

Option D.SSS These triangles congruent with SSS property

Answer:

First part = 2.

Time to land = 6 seconds.

Step-by-step explanation:

The object is at h = 0 when it land so

-5x^2 + 20x + 60 = 0

-5(x^2 - 4x)  = -60

-5[(x - 2)^2 - 4] = -60

(x - 2)^2 - 4 = -60/-5 = 12

(x - 2)^2 = 16.

Solving the above:

Take the square root of both sides:

x - 2 = 4

x = 2 + 4

x = 6 seconds

Taking into account the definition of a system of linear equations, the weigh of Flemish giant rabbit is 13.75 pounds.

A system of linear equations is a set of two or more first degree equations, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, a solution to a system of two or more linear equations is a solution that simultaneously satisfies all the equations in the system

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

f= 5×h

f= h +11

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, substituting the first equation in the second you get:

5×h= h + 11

Solving:

5×h- h= 11

4×h= 11

h= 11÷ 4

h= 2.75

Substituting this value in the first equation of the system of equations:

f= 5×2.75

f= 13.75

Finally, Flemish giant rabbit weighs 13.75 pounds.

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Answer:

The linear model means that there is a uniform increase and in this case of US population from  92  million people in  1910  to  250  million people in  1990 .  

This means an increase of  250 − 92 = 158  million in  1990 -1910 = 80  years or   158 80 = 1.975  million per year and in  x  years it will become   92 + 1.975 x  million people. This can be graphed using the linear function  1.975 ( x − 1910 ) + 92 ,

graph{1.975(x-1910)+92 [1890, 2000, 85, 260]}

The exponential model means that there is a uniform proportional increase i.e. say  p %  every year and in this case of US population from  92  million people in  1910  to  250  million people in  1990 .  

This means an increase of  250 − 92 = 158  million in  1990 − 1910 = 80  years or  

p %  given by  92 ( 1 + p ) 80 = 250  which gives us  ( 1 +p ) 80 = 250 92  which simplifies to  p = ( 250 92 ) 0.0125 − 1 = 0.0125743  or  1.25743 % .  

This can be graphed as an exponential function  92 × 1.0125743 ( x − 1910 ) , which gives population in a year  y  and this appears as graph{92(1.0125743^(x-1910)) [1900, 2000, 85, 260]}

Step-by-step explanation:

Hope this helps

Answer:

522250

How to round to the nearest tenth:

Whenever you want to round a number to a particular digit, look only at the digit immediately to its right. For example, if you want to round to the nearest tenth, look to the right of the tenths place: This would be the hundredths place digit. Then, if it is 5 or higher, you get to add one to the tenths digit. If it is 4 or lower, the tenths digit remains the same.

For example, 3.58 can be rounded to 3.6 because the hundredths place digit, 8 is greater than or equal to 5.

3.32 would be rounded to 3.3, because the hundredths place digit, 2, is less than 5.

Answer:

1. The area is 72 ft².

2. No, one can of paint will not be enough.

3. The width of his property is 90 ft.

4. The width of the park is 19 miles.

5. The length of a side is 7.

Step-by-step explanation:

We will use the formula Area = length x width to answer the questions.

1. 9 x 8 = 72

2. 48 x 9 = 432, 432 > 400

3. 43560/484 = 90

4. 323/17 = 19

5. √49 = 7

Hope this helps!

Answer:

1. The area is 72 ft².

2. No, one can of paint will not be enough.

3. The width of his property is 90 ft.

4. The width of the park is 19 miles.

5. The length of a side is 7.

Step-by-step explanation:

Hello Carousel!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \tt \:\int \: \frac{ x + 2 }{( {x}^{2} + 3x + 3) \sqrt{x + 1}} \: dx \\ [/tex]

First, let's take I as ⇨ [tex]\tt \:\int \: \frac{ x + 2 }{( {x}^{2} + 3x + 3) \sqrt{x + 1}} \: dx \\ [/tex].

[tex]\tt \:I = \int \: \frac{ x + 2 }{( {x}^{2} + 3x + 3) \sqrt{x +1}} \: dx \\\tt \: I =\int \: \frac{ x + 2 }{( {x}^{2} + 2x + 1 + x + 2) \sqrt{x + 1}} \: dx \\ \tt \:I =\int \: \frac{ x + 2 }{( ({x + 1}^{2}) + x + 2) \sqrt{x + 1}}[/tex]

Let, x + 1 = m² => dx = 2mdm.

[tex]\tt \:I =\int \: \frac{ {m}^{2} + 1}{ {m}^{4} + {m}^{2} + 1 \cdot \: m} 2mdm \\ \tt \:I =\int \: \frac{ {m}^{2} + 1}{ {m}^{4} + {m}^{2} + 1 \cdot \: \bcancel{ m}} 2 \bcancel{m}dm \\ \tt \: I = \: \int \: \frac{ {m}^{2} + 1}{ {m}^{4} + {m}^{2} + 1 } 2dm[/tex]

Now, divide the numerator & denominator by m²....we'll get it as...

[tex]\tt \:I =2\int \: \frac{ 1 + \frac{1}{ {m}^{2} } }{ {m}^{2} + 1 + \frac{1}{ {m}^{2} } } \: dm \\\tt \: I =2\int \: \frac{ 1 + \frac{1}{ {m}^{2} } }{( {m}^{2} + \frac{1}{ {m}^{2} } - 2) + 3} \: dm \\\tt \: I =2\int \: \frac{ (1 + \frac{1}{ {m}^{2} }) \: dm }{ ({m} - \frac{1}{ m } ) ^{2} + 3} [/tex]

Now, let m - 1/m be t => (1 + 1/m²) dm = dt

[tex]\tt \:I =2\int \: \frac{ dt}{ {t}^{2} + 3 } \\ \tt \:I = 2\int \: \frac{ dt}{ {t}^{2} + ( \sqrt{3}) ^{2} }[/tex]

We know, [tex]\tt \:\int \: \frac{dx}{ {x}^{2} + a ^{2} } = \frac{1}{a} tan ^{ - 1} (\frac{x}{a} ) + c[/tex]...therefore...

[tex]\tt \:I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{t}{ \sqrt{3} } ) + c \: \rightarrow \boxed{ \tt \: eq. \: 1}[/tex]

Now, substitute the value of 't' in eq. 1..we'll get..

[tex]\tt \:I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{m - \frac{1}{m} }{ \sqrt{3} } ) + c \: \rightarrow \boxed{ \tt \: eq. \: 2}[/tex]

Now, substitute the value of 'm' in eq. 2...we'll get...

[tex] \tt \: I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{ \sqrt{x + 1} - \frac{1}{ \sqrt{x - 1} } }{ \sqrt{3} } ) + c \\ \tt \:I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{x + 1 - 1}{ \sqrt{3} \sqrt{x - 1} } ) + c \\ \boxed{\boxed{ \bf \: I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{x }{ \sqrt{3 (x - 1} )} ) + c }}[/tex]

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Hope it'll help you!

ℓu¢αzz ッ

Answer:

5 hours 12 minutes

Step-by-step explanation:

Amount of time the journey took = 182 miles ÷ 35 miles/h

                                                       = 5.2h

                                                       = 5h 12mins

9514 1404 393

Answer:

  y = 2x +1

Step-by-step explanation:

The line rises 2 units for each 1 unit to the right, so its slope is ...

  m = rise/run = 2/1 = 2

The line crosses the y-axis at y = 1, so the y-intercept is ...

  b = 1

Then the slope-intercept form equation is ...

  y = mx + b . . . . . . . for slope m and y-intercept b

  y = 2x + 1 . . . . . . . . fill in the known values

Answer:

a. 2:3, b. 25 students, c. 3:2

Step-by-step explanation:

a. 5 (total) - 2 (with glasses) = 3 (without glasses), making the ratio 2:3.

b. We can assign the total students with the variable x. 3:5=15:x, 75=3x, x=25. 25 total students.

c. 25 (total students) - 15 (without glasses) = 10 (with glasses). (10+5):(15-5) is 15:10, which, when simplified, equals to 3:2.

Answer:

39

Step-by-step explanation:

273/7=39

Answer:

What is 39 feet

273 Divided By 7= 39 Feet

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