Need help 12 points. What additional information is needed to prove that the triangles are similar? 2 questions to answer.

The perimeter of the figure is 48 meters

From the question, we have the following parameters that can be used in our computation:

Shape = rectangle

length = 10 meters

width = 14 meters

The perimeter of the figure is then calculated as

Perimeter = 2 * (length + width)

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 * (10 + 14)

Evaluate

Perimeter = 48

Hence, the perimeter is 48 meters

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Answer:

x intercept is 7.5

y intercept is -3

Step-by-step explanation:

let me know if you need more help

a) Another name of plane p  is parallelogram.

b) Z and X are distinct points that are collinear.

c) Y, X, Z, and T are distinct points that are coplanar.

d) Then QT and ST are distinct lines that are intersect.

One particular type of quadrilateral that is created by parallel lines is a parallelogram. A parallelogram can have any angle between its adjacent sides, but it must have parallel opposite sides in order to be considered one. If two opposite sides of a quadrilateral are parallel and congruent, it will be a parallelogram. As a result, a parallelogram is a quadrilateral with two pairs of opposite sides that are both parallel and equal.

The Greek word "parallelogrammon," which means "bounded by parallel lines," is where the word "parallelogram" comes from. A quadrilateral that has parallel lines enclosing it is referred to as a parallelogram.

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Answer:

B.  x <= -17 or x >= 15

Step-by-step explanation:

To solve this inequality, we need to split the absolute value expression into two separate cases, one for each possible sign of the expression within the absolute value bars.

For the case where the expression within the absolute value bars is positive, we can remove the absolute value bars and solve the resulting inequality as follows:

1/4(x+1) >= 4

(x+1) >= 16

x >= 15

For the case where the expression within the absolute value bars is negative, we can again remove the absolute value bars and solve the resulting inequality as follows:

-1/4(x+1) >= 4

-(x+1) >= 16

x <= -17

Combining these two cases, we get that the solution to the inequality is:

x <= -17 or x >= 15

So, the correct answer is B.

The polynomial 6x³ + x² - 2x + 15 divided by 2x + 3 will give a quotient of 3x² - 4x + 5 and a remainder of zero, which makes option a correct.

The long division method will require us to; divide, multiply, subtract, bring down the next number and repeat the process to end at zero or arrive at a remainder

We shall divide the polynomial 6x³ + x² - 2x + 15 by 2x + 3 as follows;

x³ divided by 2x equals 3x²

2x + 3 multiplied by 3x² equals 6x³ + 9x²

subtract 6x³ + 9x² from 6x³ + x² - 2x + 15 will result to -8x² - 2x + 15

-8x² divided by 2x equals -4x

2x + 3 multiplied by -4x equals -8x² - 12x

subtract -8x² - 12x from -8x² - 2x + 15 will result to 10x + 15

10x divided by 2x equals 5

2x + 3 multiplied by 5 equals 10x + 15

subtract 10x + 15 from 10x + 15 will result to a remainder of 0

Therefore by the long division method, 6x³ + x² - 2x + 15 divided by 2x + 3 gives a quotient 3x² - 4x + 5 and a remainder of 0.

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Answer:

f2 + 5 when f = 3 is 11.

Step-by-step explanation:

So let's start by replacing f with 3:

3(2) + 5 =

When we have a variable right next to another number, we multiply. Some examples of this are 2x or 5y or 10000t, or even 0.001j.

Therefore, we multiply the 3 and 2 together, which gets us 6:

6 + 5 =

And 6 plus 5 equals 11

6 + 5 = 11, final answer.

In the worst case, it will take 125.7 more hours for all of the oil to leak out. In the best case, it will take 104.17 more hours for all of the oil to leak out.

Worst case:

25,000 gallons of oil / (720 gallons/hour) = 34.72 hours

25,000 gallons of oil - (720 gallons/hour * 34.72 hours) = 8,640 gallons of oil remaining

8,640 gallons of oil / (720 gallons/hour) = 12.04 hours

34.72 hours + 12.04 hours = 46.76 hours

46.76 hours x (720 gallons/hour) = 33,360 gallons of oil

25,000 gallons of oil - 33,360 gallons of oil = -8,360 gallons of oil

-8,360 gallons of oil / (720 gallons/hour) = -11.56 hours

46.76 hours + (-11.56 hours) = 35.2 hours

35.2 hours x (720 gallons/hour) = 25,440 gallons of oil

25,000 gallons of oil - 25,440 gallons of oil = 560 gallons of oil

560 gallons of oil / (720 gallons/hour) = 0.78 hours

35.2 hours + 0.78 hours = 36.0 hours

36.0 hours x (720 gallons/hour) = 25,920 gallons of oil

25,000 gallons of oil - 25,920 gallons of oil = 80 gallons of oil

80 gallons of oil / (720 gallons/hour) = 0.11 hours

36.0 hours + 0.11 hours = 36.11 hours

36.11 hours x (720 gallons/hour) = 25,952 gallons of oil

25,000 gallons of oil - 25,952 gallons of oil = 48 gallons of oil

48 gallons of oil / (720 gallons/hour) = 0.07 hours

36.11 hours + 0.07 hours = 36.18 hours

36.18 hours x (720 gallons/hour) = 25,976 gallons of oil

25,000 gallons of oil - 25,976 gallons of oil = 24 gallons of oil

24 gallons of oil / (720 gallons/hour) = 0.03 hours

36.18 hours + 0.03 hours = 36.21 hours

Best case:

25,000 gallons of oil / (720 gallons/hour) = 34.72 hours

25,000 gallons of oil - (720 gallons/hour * 34.72 hours) = 8,640 gallons of oil remaining

8,640 gallons of oil / (720 gallons/hour) = 12.04 hours

34.72 hours + 12.04 hours = 46.76 hours

46.76 hours x (720 gallons/hour) = 33,360 gallons of oil

25,000 gallons of oil - 33,360 gallons of oil = -8,360 gallons of oil

-8,360 gallons of oil / (720 gallons/hour) = -11.56 hours

46.76 hours + (-11.56 hours) = 35.2 hours

35.2 hours x (720 gallons/hour) = 25,440 gallons of oil

25,000 gallons of oil - 25,440 gallons of oil = 560 gallons of oil

560 gallons of oil / (720 gallons/hour) = 0.78 hours

35.2 hours + 0.78 hours = 36.0 hours

36.0 hours x (720 gallons/hour) = 25,920 gallons of oil

25,000 gallons of oil - 25,920 gallons of oil = 80 gallons of oil

80 gallons of oil / (720 gallons/hour) = 0.11 hours

36.0 hours + 0.11 hours = 36.11 hours

36.11 hours x (720 gallons/hour) = 25,952 gallons of oil

25,000 gallons of oil - 25,952 gallons of oil = 48 gallons of oil

48 gallons of oil / (720 gallons/hour) = 0.07 hours

36.11 hours + 0.07 hours = 36.18 hours

Therefore, in the worst case it will take 125.7 more hours for all of the oil to leak out and in the best case it will take 104.17 more hours for all of the oil to leak out.

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When proved, the total surface area of the solid is π/4 r(11r - 2l)

The Solid comprise a cone mounted on top of a hemisphere. The total surface area of the object is given as follows

Total surface area = Total surface area of cone -total surface area of the hemisphere.

This implies that TSA = 1/2πr(1/2r +l) -3πr²

πr/2(r+2l)/2 -3πr²

This implies that the expression will be (πr² +2πrl)/4 - 3πr²

⇒(πr² +2πrl - 12πr²)/4

Conclusively, the expression finally gives π/4 r (11r - 2l)

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An HL triangle is a type of triangle with two sides of equal length and one side that is longer than the other two sides. The triangle has an acute angle between the two equal sides, and an obtuse angle between the longest side and one of the equal sides.

An HL triangle can be described as an isosceles triangle with one side longer than the other two. The sides that are of equal length form an acute angle, while the longest side forms an obtuse angle with one of the equal sides. The longest side of the HL triangle is typically referred to as the hypotenuse, while the two equal sides are referred to as the legs. The hypotenuse is always the longest side, and the two legs are always of equal length.

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Answer: x = 4

Step-by-step explanation: (4x+9)−6.

Subtract 6 from 9 to get 3.

d/dx (4x+3)

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^n

 is nax^n-1.

4x^1-1

Subtract 1 from 1.

4x^0

For any term t, t×1=t and 1t=t.

x = 4

​

[tex]\begin{array}{ll|ll} 21!\implies &21\cdot 20\cdot 19\cdot 18\cdot 17.....\\&\\ &21\cdot 20\cdot 19! \end{array} \begin{array}{llll} 20!\implies &20\cdot 19\cdot 18\cdot 17\cdot 16\cdot 15.....\\\\ & 20\cdot 19! \end{array} \\\\[-0.35em] ~\dotfill\\\\ (21\cdot 20\cdot 19!)-(20\cdot 19!)\implies (21\cdot 20\cdot c)-(20\cdot c) \\\\\\ 420c-20c\implies \text{\LARGE 400c}[/tex]

Answer:

x=15

Step-by-step explanation:

x/3+x/5=8

Both multipling 15:  15(x/3+x/5)=15*8

5x+3x=120

     8x=120

      x=15

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &10 \end{cases} \\\\\\ A = 4000\left(1+\frac{0.04}{4}\right)^{4\cdot 10}\implies A=4000(1.01)^{40} \implies A \approx 5955.45[/tex]

Answer:

$5955.45

Step-by-step explanation:

We can use the formula to find the sum of the money, when we calculate the amount of money according to compound interest.

Before we getting ready to solve the sum, we have to keep these points in our mind.

Formula to find the sum of money after compound interest is:

[tex]\sf S = X ( 1 + r )^n[/tex]

Here,

S = Sum of money

X = Amount of money deposited

r = Interest rate

n = Time ( in years )

Let us solve it now.

[tex]\sf S = X ( 1 + r )^n\\\\\sf S = 4000 ( 1 + \frac{4}{100}*\frac{1}{4} )^4^0\\\\\sf S = 4000 ( 1 + \frac{4}{400} )^4^0\\\\\sf S = 4000 ( 1 + 0.01 )^4^0\\\\\sf S = 4000 ( 1.01 )^4^0\\\\\sf S = 5955.45[/tex]

Answer:

lol.

Step-by-step explanation:

Refer to the image attached. Please rate, and let me know if you have any questions. Thanks!

Compare the costs for the two programs and results are when the number of classes are more, canoeing is less expensive and when the number of classes are less, fishing is less expensive.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

The graph and the table show the total costs of two different summer programs, y, as functions of the two different summer programs, y, as a function of the number of classes, x.

For canoeing program,

And number of class 1 then cost is $32.

The number of classes 2 then y = 44

For each, 44/2 = $22

The number of classes 3 then y = 56

For each, 56/3 = $18.67

The number of classes 2 then y = 68

For each, 68/4 = $17

So,

When the number of classes are more, canoeing is less expensive.

And number of class 1 then cost is $20.

The number of classes 2 then y = 40

For each, 40/2 = $20

The number of classes 3 then y = 60

For each, 60/3 = $20

The number of classes 2 then y = 80

For each, 80/4 = $20

So,

When the number of classes are less, fishing is less expensive.

Therefore, when the number of classes are more, canoeing is less expensive and when the number of classes are less, fishing is less expensive.

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The equation y=ax^b, where a and b are constants. If the points follow this equation, then the set of points is an exponential function.

An exponential function is a function in which the output is proportional to the exponent of the input. Exponential functions follow the equation y=ax^b, where a and b are constants. To determine if a set of points is an exponential function, you must look for a pattern in the points that follows the equation. If the points follow the equation, then the set of points is an exponential function. If the points do not follow the equation, then the set of points is not an exponential function. An example of an exponential function is y=2^x, where the output, y, is proportional to the exponent of the input, x. Exponential functions can be used to model a variety of real-world phenomena, such as population growth, radioactive decay, and compound interest.

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The process of identify the exponential function coordinates are explained below.

The term coordinates in math is defined as a set of numbers or numbers and letters together that show you a position on a map.

Here we have to identify that whether the a set of points is an exponential function.

In order to find this one, first we must know the definition of exponential function,

The term exponential function is defined as defined by the formula f(x) = aˣ where the input variable x occurs as an exponent. and the exponential curve depends on the exponential function and it depends on the value of the x.

Now, the steps to identify whether the set of points are exponential function or not is listed below:

If we plot the points on the graph passes through the point (0,1).

If the domain of the points is in real numbers.

Whether the range of the points is y>0.

If we plot the points on the graph is continuous and increasing.

Whether we plot the points on the graph is asymptotic to the x-axis as x approaches negative infinity.

If we plot the points on the graph increases without bound as x approaches positive infinity.

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The ratio if the dimensions are expressed in inches instead of feet is 1/16.

Ratio is defined as the relationship between two quantities. It can be expressed as a to b, a : b, or a / b.

Meanwhile, proportion is defined as the equality between two ratios.

a / b = c / d

If the ratio of the numerical value of the perimeter to the numerical value of the area, expressed in feet, is 3/4, then converting each component to inches will give its ratio, expressed in inches.

perimeter / area

= 3 feet / 4 feet²

= 3 feet(12 inches / 1 foot) / 4 feet²(12 inches / 1 foot)(12 inches / 1 foot)

= 36 inches / 576 inches²

Simplifying the ratio by dividing both by 36.

36 / 576 = 1 / 16

Hence, the ratio will become 1/16.

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The equation for C, in terms of t, representing the number of chocolates remaining in the box t days after Violet's birthday is C = 24 - 4t

Number of chocolate violet eats each night = 4

Number of chocolate originally in the box = 24

Number of chocolate remaining = C

Number of days after violet birthday = t

Number of chocolate remaining = Number of chocolate originally in the box - (Number of chocolate violet eats each night × Number of days after violet birthday)

C = 24 - (4 × t)

C = 24 - 4t

In conclusion, the equation which represents violet's remaining chocolate after her birthday is C = 24 - 4t

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By applying the polar equation of a rose curve, we can conclude that the rose curve will have 3 petals whose each length is 10 units. The endpoints of each petal occur when θ = 0, π/3, 2π/3. The corresponding values of the endpoint of each petal (r,θ) are (-10,0), (10,π/3), (-10,2π/3).

The polar equation of a rose curve is either:

r = a cos (nθ) or r = a sin (nθ)

where

a = constant that determines the size

n = half of the number of petals (n is even) or number of petals (n is odd)

We take a look at the given function: r = 10 sin 3θ

By applying the rule above, we can conclude that the rose curve will have 3 petals whose each length is 10 units.

Now we want to know the starting point of the petals, we assume the r = 0.

r = 10 sin 3θ

0 = 10 sin 3θ

0 = sin 3θ

3θ = 0 + nπ

θ = nπ/3   n = number of petal + 1 = 0, 1, 2, 3

On the interval [0,π), we list the value of θ:

n       θ

0       0

1        π/3

2       2π/3  

3        π (= 0)

Thus, the endpoints of each petal occur when θ = 0, π/3, 2π/3

Using the values of θ from the previous step, we can write down the corresponding values of the endpoint of each petal (r,θ) are (-10,0), (10,π/3), (-10,2π/3)

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The high category cost in Spain is 57.8% lower than the high category cost in the United States, while the medium category cost in Spain is 61.0% lower than the medium category cost in the United States.

We can use the following calculations to determine the percentage by which Spain's high category and medium category costs are less than those of the United States' categories:

(High in the US - High in Spain)/High in the US * 100%

Spanish medium/US medium * 100% for the medium division.

 The first formula determines the percentage difference between the high category costs in the United States and Spain. The second calculation determines the percentage difference between the medium category costs in the United States and Spain.

 Calculate, for instance, the percentage difference between the high category costs in Spain and the United States. The values can be entered into the formula in the following way:

High category: (19.97)/(34.48 - 14.51)/(34.48 * 100%) = 57.8%

This indicates that the high category cost in Spain is 57.8% cheaper than the high category cost in the United States.

The similar method can be used to determine how much less Spain's medium category cost is than America's medium category cost:

(22.46 - 8.79)/22.46 * 100% = (13.67)/22.46 * 100% = 61.0% for the medium group.

   As a result, the medium category cost in Spain is 61.0% cheaper than the medium category cost in the United States.

.

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Answer:

High category = 58%

Medium category = 61%

Step-by-step explanation:

Corrected what he said. Brainliest?

The total number of girls and the total number of boys in the club are

number of girls = 58

number of boys = 25

The total number of girls and the total number of boys in the club is solved using the equation generated as follows

The number of girls in the Middle School Cyber Club was 8 more than double the number of boys

let the number of girls be x and the number of boys be y

x = 8 + 2y

total there were 83 middle school students in the Cyber Club

x + y = 83

substituting for x in x + y = 83

x + y = 83

plugging in x = 8 + 2y

8 + y + y = 83

8 + 2y = 83

solving for y

3y = 83 - 8

3y = 75

y = 25

solving for x

x = 8 + 2y

x = 8 + 2 * 25

x = 58

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Answer:

y = -1/2x+3

Step-by-step explanation:

We have y = 2x-9

This is in slope intercept form

y = mx+b  where m is the slope

The slope is 2

We want a line that is perpendicular

Perpendicular lines have slopes that are negative reciprocals

The slope is -1/2

The equation of the new line is

y = -1/2x+b

Substituting the point into the equation

5 = -1/2(-4)+b

5 = 2+b

5 -2=b

3=b

y = -1/2x+3

Answer:

y = -1/2x + 3

Step-by-step explanation:

We know that if two lines are perpendicular to each other the multiplication of the slopes of those 2 lines equals -1.

m₁ × m₂ = -1

Given that, the slope of one line is 2 (m₁). Now, let us find the slope of the other line (m₂) using the above formula.

2 × m₂ = -1

2m₂ = -1

Divide both sides by 2.

m₂ = -1/2

And now let us find the value of the y-intercept ( c in the formula y = mx + c) using the given coordinate.

( -4 , 5 )⇒ ( x , y ).

Let us find it now.

y = mx + c

5 = -1/2x × -4 + c

5 = 2 + c

5 - 2 = c

3 = c

And now let us write the equation for the new line.

y = m x + c

y = -1/2x + 3

The equation for the graph is y = 20x + 50, where the rate of change is 20 and the initial value is 50.

When an algebraic equation is graphed, it always results in a straight line since each term in a linear equation has an exponent of 1. For this reason, it is referred to as a "linear equation."

There are both one-variable and two-variable linear equations.

Given graph shows the relationship between the number of cubic yards of mulch ordered and the total cost of the mulch delivered,

x-axis shows the cubic yards and y-axis shows cost,

A. to find the constant rate of change,

from graph, we find that x₁ = 0 and x₂ = 5

y₁ = 50 and y₂ = 150

constant rate of change  = (y₂ - y₁)/(x₂ - x₁)

rate of change  = (150 - 50)/(5 - 0)

rate of change  = 100/5 = 20

the constant rate represents the slope of the line,

for equation of line y = mx + c

here m = slope of the line or constant rate of change.

2. to find the initial value,

the initial value represents the y-intercept or the value of constant for equation y = mx + c,

where c is the initial value

we have  m = 20 x = 0 and  y = 50

50 = 20(0) + c

c = 50

the equation for the graph is y = 20x + 50

Hence the rate of change is 20 and the initial value is 50.

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The depth of the water is increasing at 0.167 ft/min.

In this problem, we are given the radius of the conical tank (12 feet), the height of the tank (26 feet) and the rate at which water is flowing into the tank (20 ft3/min). To calculate the rate of the water's increase in depth, we need to first calculate the volume of the tank.

The volume of a conical tank can be calculated using the formula V = 13r2h, where r is the radius and h is the height. Using this formula, we can calculate the volume of the tank to be 13(12)2(26) = 7584 ft3.

Next, we need to calculate the rate at which the depth of the water is increasing. This can be done by dividing the rate at which water is flowing into the tank (20 ft3/min) by the volume of the tank (7584 ft3). This gives us a rate of 0.0026 ft3/min. To get the rate at which the depth is increasing, we need to divide this number by the area of the tank's base (113 ft2). This gives us a rate of 0.167 ft.

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The perimeter of the shape is approximately 20.57 inches.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

The shape consists of two shapes; a square and 2 semi-circles

Perimeter of square = 4L

where L = 2 inches

Perimeter = 4(2)

Perimeter = 8 inches

Perimeter of Semi-circle = [tex]\pi r}[/tex]

where [tex]\pi = 3.142[/tex]

r = 2 inches

Perimeter of Semi-circle = 3.142 x 2

Perimeter of Semi-circle = 6.284 inches

Perimeter of shape = Perimeter of square + 2 x Perimeter of Semi-circle

Perimeter of shape = 8 inches + 2 x  6.284 inches

Perimeter of shape = 8 inches + 12.568 inches

Perimeter of shape = 20.568 inches

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Yes, the distribution given is a discrete probability distribution.

A discrete probability distribution is a distribution that assigns probabilities to individual values or discrete outcomes. In other words, it is a distribution that consists of a set of discrete values, each with an associated probability.

In the given distribution, the values x = 10, 20, 30, 40, and 50 are all discrete values, and each has an associated probability P(x) = 0.2. This satisfies the definition of a discrete probability distribution.

On the other hand, a continuous probability distribution is a distribution that assigns probabilities to intervals of values rather than individual values.

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Answer:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

C : is the hypotenuse

A and B are two sides

[tex] {6}^{2} + \: {x}^{2} = {15}^{2} \\ {15}^{2} - {6}^{2} = 189 \\ \sqrt{189} = 3 \sqrt{21} [/tex]

Answer:

Below

Step-by-step explanation:

Here is the point-slope form of this line to start:

y-3 = -4 ( x-1)      which can be re-arranged to

y = -4x +7            which is y = mx + b form ( slope -intercept from)

or

4x + y = 7      sometimes called 'standard form'

The solution to the inequality expression 1/4|x + 1| ≥ 4 is (b) x ≤ -17 or x ≥ 15

From the question, we have the following parameters that can be used in our computation:

1/4|x + 1| ≥ 4

Multiply through the inequality by 4

So, we have the following representation

|x + 1| ≥ 16

Remove the absolute bracket

-16 ≥ x + 1 ≥ 16

Subtract 1 from all sides

-17 ≥ x ≥ 15

So, we have

x ≤ -17 or x ≥ 15

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