Which of the following statement(s) is/are true about rectangles? i. The diagonals are congruent. ii. All sides are congruent. iii. Both pairs of opposite sides are parallel. iv. The diagonals are perpendicular bisectors of each other.

The Length of the rectangle is: B. 6 2/3.

The area of a rectangle is calculated as: Area = (length)(width). Therefore, if we known the area of a rectangle and its width, we can find the length of the rectangle using:

Length of rectangle = area of rectangle / width of rectangle.

Given the following:

Area of a rectangle = 21 and 2 over 3 square inches

Width = 3 and 1 over 4 inches

Length of the rectangle = 21 2/3 ÷ 3 1/4

Length of the rectangle = 65/3 ÷ 13/4

Length of the rectangle = 65/3 × 4/13

Length of the rectangle = 260/39 = 6 2/3.

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Answer:

One bad b, and she do what I say so

Two big .40s and a big a Draco (two, boom, boom)

Three more millions when you ask how my day go

Poured up a 4, now that's blueberry Faygo

One false move, and we straight to shooting s

Two small bands just to take you out real quick (bands)

Three more h, pull up, I'm f s

That's how it go, big bands, I'm thumbin' s (that's how it goes)

One bad b, and she do what I say so (yeah, gang)

Two big .40s and a big a Draco (two)

Three more millions when you ask how my day go

Poured up a 4, now that's blueberry Faygo

One false move, and we straight to shooting s

Two small bands just to take you out real quick (bands)

Three more h, pull up, I'm f s

That's how it go, big bands, I'm thumbin' s

I'm with my n*yeah, we some rockstars

And I'm with my n yeah, KK Wokhardt (KK Wokhardt)

This not my d, lil' b, my Glock hard (lil' b)

Straight to the cash, I'm a trapstar (cash)

Straight to the bag, I'm that n, huh (bag, oh)

Got me some gas, rollin' up some

Fft, fft, cash, yeah, I got me some

I ain't f her yesterday (yeah)

I'ma f some

One bad b , and she do what I say so

Two big .40s and a big a Draco (two, boom, boom)

Three more millions when you ask how my day go

Poured up a 4, now that's blueberry Faygo

One false move, and we straight to shooting s

Two small bands just to take you out real quick (bands)

Three more h, pull up, I'm f s

That's how it go, big bands, I'm thumbin' s (that's how it goes)

3-0 clip in my Nina (oh, oh)

On my toes, Gucci, Valentino (yeah, b)

She on go, your b f the team, uh (lil' b )

'Cause you know your b want a winner (winner)

I just went back to my city (to my city)

And you know they all f with me (big hands)

But it ain't safe, h with me (h)

I'ma chase bands 'til they end me

One bad b, and she do what I say so

Two big .40s and a big a Draco (two, boom, boom)

Three more millions when you ask how my day go

Poured up a 4, now that's blueberry Faygo

One false move, and we straight to shooting s

Two small bands just to take you out real quick (bands)

Three more h, pull up, I'm f s

That's how it go, big bands, I'm thumbin' s (that's how it goes)

One bad b, and she do what I say so (yeah, gang)

Two big .40s and a big a Draco (two)

Three more millions when you ask how my day go

Poured up a 4, now that's blueberry Faygo

One false move, and we straight to shooting s

Two small bands just to take you out real quick (bands)

Three more h, pull up, I'm f s

That's how it go, big bands, I'm thumbin' s

Step-by-step explanation:

Answer:

Both C and D represent the unit rate. They show how much it is going by. If there is only 1 answer then its C.

Step-by-step explanation:

Answer:

(speeds) plane = 84, wind is 28

Step-by-step explanation:

when with wind: 672/6 = 112

so: speed(plane) + speed(wind) = 112

when against wind: 672/12 = 56

so: speed(plane) - speed(wind) = 56

add both eq to get: 2 speed(plane) = 168

speed(plane) = 84

therefore speed(wind) = 28

Answer:

1 : 15

Step-by-step explanation:

1,5 l of water = 1500 ml water

poison : water = 100 : 1500 = 1 : 15

Answer: 1 : 15

There are 855 cockroaches crawling on the front of the building

An equation is an expression showing the relationship between two or more numbers and variables.

The population density is given as:

Population density = total animals / area occupied

Given that, the population density of the cockroaches is 5 cockroaches per square meter.

The area of the building = area of triangle + area of square

Area of building = (1/2) * (24 - 9)(12) + (9 * 9) = 90 + 81 = 171 m²

Population density = total animals / area occupied

5 cockroaches per square meter = Total cockroaches / 171 m²

Total cockroaches = 855

There are 855 cockroaches

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Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

790,000

Step-by-step explanation:

Take the place behind the place you're trying to round from, (thousands place in this case) and if that number is 5 or above, which it is, you round up. (790,000). If it's 4 or below, keep it as is.

Answer:

943,281

Step-by-step explanation:

Just move the 3 up a value

If it's in the ten's place, then move it to the hundred's place value.

If it's in the hundred's place, then move it to thousand's place value.

So on and so on...

The number is 943,281.

Place value is the value of each digit in a number. The value of every digit in a number is different based upon its position. A number might have two similar digits but different values, which is decided by the position that the digit holds in the number.

Place value is the value of a digit according to its position in the number such as ones, tens, hundreds, and so on.

For example, the place value of 5 in 3458 is 5 tens, or 50. However, the place value of 5 in 5781 is expressed as 5 thousands or 5,000.

Given:

digit 3 is 10 times as much as the value of the digit 3 in 942381

Here the digit 3 is at hundred place value.

Then, after 10 times the place value be at thousand.

hence, the number would be 943,281.

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If x is the original amount of the startup workforce, then after 1999 they had:

workforce, and after 2001 they had:

Therefore, the final amount of workforce is less than the one in 2001.

Answer: The workforce was reduced by 9%.

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

The correct option is not available among the choices provided (A. 49.4, B. 39.5, C. 55.2, D. 50.45).

To find the measure of angle A in triangle ABC using the Law of Sines, we can use the formula:

sin(A)/a = sin(B)/b = sin(C)/c

Given that a = 14, b = 17, and c = 22, we can substitute these values into the formula:

sin(A)/14 = sin(B)/17 = sin(C)/22

To find angle A, we need to solve for sin(A) and then take the inverse sine (arcsin) of that value.

First, let's find sin(B) using the given information:

sin(B)/17 = sin(A)/14

sin(B) = (17 * sin(A))/14

Next, let's find sin(C):

sin(C)/22 = sin(A)/14

sin(C) = (22 * sin(A))/14

Since the sum of angles in a triangle is 180 degrees, we can calculate angle C:

angle C = 180 - angle A - angle B

Now, we can substitute the expressions for sin(B) and sin(C) into the equation:

(22 * sin(A))/14 = (17 * sin(A))/14 + sin(B)

To solve for sin(A), we can multiply both sides of the equation by 14:

22 * sin(A) = 17 * sin(A) + 14 * sin(B)

22 * sin(A) - 17 * sin(A) = 14 * sin(B)

5 * sin(A) = 14 * sin(B)

sin(A) = (14/5) * sin(B)

Finally, we can take the inverse sine (arcsin) of sin(A) to find the measure of angle A:

A = arcsin((14/5) * sin(B))

Now, since the values of angles B and C are not provided, it is not possible to directly determine the measure of angle A using the given information.

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Based on the plot, the number of practice puzzles per week that members solve if they finish the contest puzzle

in one hour is c 4

The line of best fit for the scatter plot shows that there is a positive correlation between the number of practice puzzles solved per week and the time it takes to solve a contest puzzle. This means that as the number of practice puzzles solved per week increases, the time it takes to solve a contest puzzle decreases.

If a member finishes a contest puzzle in one hour, they are on the line of best fit. This means that they solve approximately 4 practice puzzles per week.

The other options are incorrect. Option a is too high, option b is too low, and option d is not on the line of best fit.

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Answer:

150 adult tickets where sold

Step-by-step explanation:

If we multiply 150 times 3 that gives us 450, which acounts for all the students. And 150 is the number thats left of adults that adds up to 600.

The number in an expanded form is 700,000 + 182 + 0.009

The number is given as:

seven hundred thousand one hundred eighty-two and nine thousandths

Next, we split the numbers:

seven hundred thousand = 700,000

one hundred eighty-two = 182

and nine thousandths = 0.009

Next, we add the numbers

700,000 + 182 + 0.009

Hence, the number in an expanded form is 700,000 + 182 + 0.009

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Answer:

width: 3.83

length: 3.66

Step-by-step explanation:

The perimeter of a triangle is calculating by adding all the sides together (length + length + width + width). Since we are given the formula for the length we can simply substitute that formula and solve for the width which would be the only variable in the equation.

length + length + width + width = 15

(2w-4) + (2w-4) + w + w = 15  ... combine like terms

6w - 8 = 15  ... add 8 on both sides

6w = 15 ... divide both sides by 6

w = 3.83

Now that we know the value for the width we can plug it into the formula for the length to find its value

l = 2w - 4

l = 7.66 - 4

l = 3.66

Finally, we can see that the rectangle has a width of 3.83 and a length of 3.66

Answer:

answer is 19:13 .............

The number of years she had her investment is after 3 years

From the question, the given parameters are:

The number of years (T) is calculated from the following simple interest formula

I = PRT

Substitute the given parameters in the above equation

20.64 = 400 * 1.72% * t

Express 1.72% as decimal without percentage

20.64 = 400 * 0.0172 * t

Evaluate the product

20.64 = 6.88 * t

Divide both sides by 6.88

20.64/6.88 = 6.88/6.88 * t

Evaluate the quotient

3 = t

Rewrite the equation as

t = 3

This means that she had her investment after 3 years

Hence, the number of years she had her investment is after 3 years

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Answer:

3

Step-by-step explanation:

You just divide 27 by 3, then divide that answer by 3, and keep doing that until you get to 1:

27/3

9

9/3

3

3/3

1

3^x = 27

3^3 = 27

3 x 3 x 3 = 27

9 x 3 = 27

27 =27

Answer:

2 1/2

Step-by-step explanation:

(These are fractions)

1+3 ÷ 2

4 5

(Simplify)

4 ÷ 2

4 5

(Same denominator)

20 ÷ 8

20 20

(Divide)

2 1/2

The equation of p(x) in vertex form is;

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

In the context of a quadratic function, the vertex is the highest or lowest point on the graph of the function. It is the point where the parabola changes direction. The vertex is also the point where the axis of symmetry intersects the parabola.

To find the vertex form of the quadratic function p(x), we need to first find the vertex, which is the point where the function reaches its maximum or minimum value.

To find the vertex, we can use the formula:

x = -b/2a, where a is the coefficient of the x²  term, b is the coefficient of the x term, and c is the constant term.

Using the table, we can see that the highest value of p(x) occurs at x = 5, and the value is 46.

We can then use the formula to find the vertex:

x = -b/2a = -5/2a

Using the values from the table, we can set up two equations:

46 = a(5)² + b(5) + c

1 = a(0)²  + b(0) + c

Simplifying the second equation, we get:

1 = c

Substituting c = 1 into the first equation and solving for a and b, we get:

46 = 25a + 5b + 1

-20 = 5a + b

Solving for b, we get:

b = -20 - 5a

Substituting b = -20 - 5a into the first equation and solving for a, we get:

46 = 25a + 5(-20 - 5a) + 1

46 = 15a - 99

145 = 15a

a = 9.67

Substituting a = 9.67 and c = 1 into b = -20 - 5a, we get:

b = -20 - 5(9.67) = -71.35

Therefore, the equation of p(x) in vertex form is:

p(x) = 9.67(x - 5)²  + 1

Simplifying, we get:

p(x) = 9.67(x²  - 10x + 25) + 1

p(x) = 9.67x²  - 96.7x + 250.85 + 1

p(x) = 9.67x²  - 96.7x + 251.85

Rounding to the nearest hundredth, we get:

p(x) = 9.67(x - 5²  + 1 = 9.67(x + 1.04)²  - 10.25

Therefore, the answer is:

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

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Answer:

alternate interior angles

Step-by-step explanation:

Answer:

16\(\sqrt{5}\)+4\(\sqrt{15}\) or 51.26902

Step-by-step explanation:

Consider one of the smaller, right-angled triangles within the main triangle, and use sine to find the hypotenuse of the small triangles:

sinA=opposite/hypotenuse

sin60=4\(\sqrt{15}\)/hypotenuse

hypotenuse=\(\frac{4\sqrt{15} }{\frac{\sqrt{3} }{2} }\)

hypotenuse=8(\(\frac{\sqrt{15} }{\sqrt{3} }\))

hypotenuse=8\(\sqrt{5}\)

So the left and right hand sides of the larger triangle are both 8\(\sqrt{5}\) respectively.

To find the base, once again consider the smaller triangle, and this time, use pythagorus:

a²=b²+c²

(8\(\sqrt{5}\))²=(4\(\sqrt{15}\))²+c²

320=240+c²

80=c²

c=4\(\sqrt{15}\)

So the perimeter is 8\(\sqrt{5}\)+8\(\sqrt{5}\)+4\(\sqrt{15}\)=16\(\sqrt{5}\)+4\(\sqrt{15}\)=51.26902

The value of q is 16.

What is a quadratic equation?

Any equation can be written in the standard form where x is an unknown value, a, b, and c are known quantities, and a 0 is a quadratic equation. An equation containing a single variable of degree 2.

Here, we have

Given: Equation: 3x²+18x–21 = 0 is written in the form (x–p)²=q.

We have to find the value of q.

3x²+18x–21 = 0

3(x²+6x-7) = 0

x²+6x-7 = 0

(x+3)²-7-9 = 0

(x+3)² - 16 = 0

(x+3)² = 16

(x-p)² = q

Hence, the value of q is 16.

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According to the information, the mean of these values would be: 169

To calculate the mena of this series of numbers we must add all the values and multiply them by the number of values available. In this case, we would have to divide it by 10. The procedure is shown below:

According to the above, the mean of this operation would be 169.

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The length of BC is 3 units

A triangle is a shape consisting of 3 sides and 3 vertices (180º total) of a straight line. As early as 300 BC, Euclid had come up with the concept that the sum of three angles is 180°. This makes great contributions to the concept of shapes, such as finding the lengths of their sides and angles.

A triangle is a polygon with three sides and three vertices. It is one of the basic shapes in geometry with vertices A, B and C represented as triangle ABC.

According to the question above:

Comparison between CBD and ACE triangles

DC/EC=BC/AC

2/6=BC/(6+BC)

2(6+BC) =6.BC

12+2BC=6BC

4BC=12

BC=3 units

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The interquartile range of the stem and leaf plot is 6.

The table given is a stem and leaf plot. A stem and leaf plot is a table that divides a number into a stem and a leaf. The stem is the tens digit and the leaf is the unit digit.

The interquartile range is the difference between the third quartile and the first quartile.

Third quartile = 3/4(n + 1) = 61

First quartile = 1/4 x (n + 1) = 55

Interquartile range = 61 - 55 = 6

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Answer:

6x = 9

Step-by-step explanation:

4x-5y  = 12

2x+5y  = -3

Add the equations together

4x-5y  = 12

2x+5y  = -3

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

6x + 0y = 9

6x = 9

Answer:

B. 6x = 9

Step-by-step explanation:

4x - 5y = 12

+ 2x + 5y = -3

____________

6x + 0 = 9

Hence, option B. 6x = 9 is the correct answer.