explain in your own words why it takes more to prove that quadrilaterals are similar

Answer:

16.425 in²

Step-by-step explanation:

    Area of upper triangle:

          b = 2.5 in  ;  h = 2.3 in

           [tex]\sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}bh}[/tex]

                                          [tex]\sf =\dfrac{1}{2}*2.5 * 2.3\\\\ =\dfrac{5.75}{2}\\\\=2.875 \ in^2[/tex]

     Area of bottom triangle:

                h = 5.2 - 2.3

                   = 2.9 in

                  [tex]\sf Area \ of \ bottom \ triangle = \dfrac{1}{2}*3*2.9[/tex]

                                                      =  4.35   in²  

Area of rectangle:

     Area of rectangle = l * w

                                   = 4 * 2.3

                                   = 9.2 in²

Area of composite figure = area of upper triangle + area of bottom triangle + area of rectangle

                                           = 2.875 + 4.35 + 9.2

                                          = 16.425   in²

The weight of Trevor's goat will be 51 pounds at age 3.

We can use the following equation to calculate the weight of Trevor's goat at age 3,

Weight at age 3 = 6 3/8 × 8

First, we require to convert 6 3/8 to an improper fraction, so we multiply 6 by 8 to get 48 and then add the numerator 3 to get 51. So, 6 3/8 can be composed as 51/8.

Next, we multiply 51/8 by 8 to calculate the weight at age 3,

51/8 × 8 = 408/8 = 51

Therefore, the weight of Trevor's goat will be 51 pounds at age 3.

To know more about improper fraction, here

https://brainly.com/question/21449807

#SPJ4

--The given question is incomplete; the complete question is

"Trevor's pet goat weighed 6 3/8 pounds when it was born. By age 3, the goat weighed 8 times as much. Fill each box with a number or symbol from the list to show how to find the weight of Trevor's goat at age 3."--

A kilometer (km) is a unit of length in the metric system, which is based on the meter as the basic unit of length.

It is equal to one thousand meters, or one million centimeters, and is used in many contexts around the world when referring to the measurement of distances between two points.

Kilometers are commonly used in the context of travel, as they are often used to measure the distance between two cities or countries, or to measure the length of a journey or route. In addition, kilometers are often used to measure the depth of bodies of water, and to measure the size of land features such as mountains and valleys.

In mathematics, the kilometer is used to measure the magnitude of certain quantities, such as the speed of an object or the acceleration of a body. It is also used to measure the size of certain objects, such as the radius of a circle or the length of a line.

To learn more about kilometer visit:

https://brainly.com/question/373302

#SPJ4

A kilometer is a unit of length in the metric system. In mathematics, a kilometer is a unit of length used to measure distance.

It is part of the metric system, which is the most widely used system of measurement in the world. A kilometer is defined as 1000 meters. This makes it a convenient unit of measurement for large distances, such as those between cities, or for measuring the length of roads and highways.

In mathematical calculations involving distances, kilometers can be used to express the length of a segment or the distance between two points. They can also be converted to other units of length, such as meters, centimeters, or miles, by using appropriate conversion factors.

In conclusion, a kilometer is a unit of length in the metric system that is used to measure large distances in mathematics and in everyday life.

Learn more about Kilometer:

https://brainly.com/question/373302

#SPJ4

Answer:

3/2

Step-by-step explanation:

You can divide the numerator and denominator by its GCF(Greatest common factor) which in this case is 20.

60/ 20 = 3

40/20 = 2

3/2

Answer:

21 & 12

Step-by-step explanation:

let the sum of x and y be 33.. so,

x + y = 33

x - y = 9

x = 9 + y

x + y = 33

9 + y + y = 33

9 + 2y = 33

2y = 24

y = 24/2

y = 12

similarly,

x + y = 33

x + 12 = 33

x = 21

hence, sum: 21 + 12 = 33

      difference : 21 - 12 = 9

The solution is, 35, lists of three elements can we make using the numbers 1, 2, 3, 4, and 5, if repetition is allowed.

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

here, we have,

Given data:

{1 ,2, 3 ,4, 5}

Formula for combinations is used since the order does not matter and repetition is allowed.

nCr = (n + r -1) /(r! * (n-1)!)

where n is the total number of items and r is the items to be picked

now, we get,

5C3 = (5 + 3 - 1)! /(3! * (5 -1)!

5C3 = 7!/(3! *4!) Simplifying the factorials)

5C3 = 5040/(6*24)

5C3 =5040/144

5C3 = 35

Hence, The solution is, 35, lists of three elements can we make using the numbers 1, 2, 3, 4, and 5, if repetition is allowed.

To learn more on combination click:

brainly.com/question/10699405

#SPJ1

Circle: a cross-section that goes through the center of the sphere and creates a circular shape.

Point: a cross-section that goes through the center of the sphere and creates a single point.

The answer to the expression 2b x b is simply 2b^2. Exponentiation is a mathematical operation that raises a number to a power, and in this case, b is raised to the power of 2.

Alternatively, if exponentiation is not allowed, the answer to the expression is simply 2b * b, which can be simplified to 2b^2 as well.

So, the answer to the expression 2b x b is 2b^2, regardless of whether or not exponentiation is used.

The expression 2b x b represents the product of two scalars, 2 and b, multiplied by a scalar b.

The expression could represent a variety of quantities in mathematics and science, including the area of a rectangle, the volume of a cube, or the kinetic energy of an object, among others.

Learn more about exponentiation here brainly.com/question/28596571

#SPJ4

Answer:

∠ A = 138° , ∠ C = 75°

Step-by-step explanation:

ABCD has parallel bases and is a trapezium

each lower base angle is supplementary to the upper base angle on the same side.

∠ A + 42° = 180° ( subtract 42° from both sides )

∠ A = 138°

∠ B + ∠ C = 180 , that is

12x - 3 + 9x - 6 = 180

21x - 9 = 180 ( add 9 to both sides )

21x = 189 ( divide both sides by 21 )

x = 9

Then

∠ C = 9x - 6 = 9(9) - 6 = 81 - 6 = 75°

the value of the algebraic equation −8x+6y+6 will be 10.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given,  −8x+6y=4 is a true equation

To find the value of the equation −8x+6y+6

=> −8x+6y+6

Since −8x+6y = 4 given

Thus,

=> 4 + 6

=> 10

Therefore, the value of the algebraic equation −8x+6y+6 will be 10.

Learn more about algebraic Expression here:

https://brainly.com/question/953809

#SPJ1

To evaluate [tex]8^{\frac{2}{3} }[/tex] first find the square of 8 and then take the cube root.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Depending on the powers they possess, many rules of exponents are given.

Law of Multiplication: Exponents should be added while keeping the base constant when multiplying like bases.

Exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.

Division Rule: When dividing like bases, maintain the base constant and deduct the exponent of the denominator from the exponent of the numerator.

The given value can be written as:

[tex]8^{\frac{2}{3} } = \sqrt[3]{8^{2} }[/tex]

Hence, to evaluate [tex]8^{\frac{2}{3} }[/tex] first find the square of 8 and then take the cube root.

Learn more about exponents here:

https://brainly.com/question/5497425

#SPJ1

Answer:

16.826

Step-by-step explanation:

I think you divide 875 by 52 which is 16.826 correct me if im wrong.

Answer:

16.8 miles in each track meet

Step-by-step explanation:

You divide 875 by 52 to see how many miles Mark ran in each track meet

875/52 = 16.8

Pressure at 3000 meters above sea level will be 690.33 millibars.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given, At a height of n meters above sea level, the atmospheric pressure is Pn millibars. At a height of (n + 1000) meters above sea level, the atmospheric pressure is P(n + 1000) millibars.

where,

P(n + 1000) = 0.88Pn

at n = 0

P(1000) = 0.88 P(n = 0)

Since,

P(n = 0) is 1013 milibar

thus,

P(1000) = 0.88 * 1013

At n = 1000

P(1000 + 1000) = 0.88 P(n = 1000)

P( 2000) = 0.88 * 0.88 *1013

at n = 2000

P(2000 + 1000) = 0.88 P(n = 2000)

P( 3000) = 0.88 *0.88* 0.88 *1013

Thus,

P(3000) = 690.33

Therefore, Pressure at 3000 meters above sea level could be 690.33 millibars.

Learn more about function here:

https://brainly.com/question/29633660

#SPJ1

Answer:

The answer is D

Step-by-step explanation:

Percentages can be represented in Hundred Grid. It is a 10*10 grid that helps solves problems like yours.

In your case, it says 'Which figure represents 40% ?'

This means that you must shade 4 whole columns.

Because number 1, Each row or column contains 10 squares which can  also represent 10%. And if you were to shade 2 rows or columns that would mean it is 20%.

I'm always happy to help!

The forecast for this year (F(6)) is 18,625. Therefore, the correct answer is 18,625.

Exponential smoothing is a time series forecasting method that uses a weighted average of past observations to make predictions. In this case, the weight assigned to each observation is determined by a smoothing parameter, alpha, which is a value between 0 and 1.

The formula for exponential smoothing with alpha = 0.5 is given by:

F(t) = alpha * Y(t) + (1 - alpha) * F(t-1)

where F(t) is the forecast for time t, Y(t) is the actual observation at time t, and F(t-1) is the forecast for the previous time period.

Starting with the forecast for two years ago, we can use this formula to make a forecast for each year until this academic year.

F(2) = 0.5 * 20,000 + (1 - 0.5) * 16,000 = 18,000

F(3) = 0.5 * 18,000 + (1 - 0.5) * 18,000 = 18,000

F(4) = 0.5 * 16,000 + (1 - 0.5) * 18,000 = 17,000

F(5) = 0.5 * 15,000 + (1 - 0.5) * 17,000 = 16,250

F(6) = 0.5 * 21,000 + (1 - 0.5) * 16,250 = 18,625

So the forecast for this year (F(6)) is 18,625. Therefore, the correct answer is 18,625.

Learn more about exponential smoothing here: brainly.com/question/13181254

#SPJ4

Complete question:

The president of State University wants to forecast student enrollment for this academic year based on the following historical data: Year Enrollments 5 years ago 15,000 4 years ago 16,000 3 years ago 18,000 2 years ago 20,000 Last year 21,000 What is the forecast for this year using exponential smoothing with alpha = 0.5, if the forecast for two years ago was 16,000?

18,750

19,500

21,000

22,650

None of the above

Answer:

A.) 16

B.) 18

Step-by-step explanation:

Mode is the number that shows up the most. For A.) they are saying the mode is 1. We see that for 1, the corresponding number is 17. Since no number can go larger than 17, that means x must be 16.

For B.) they are saying the mode is 2. the corresponding number is X. they want the smallest value possible, so what we do if find the largest number, which is 17, and simply add one

Answer:

A. $6.50 + $7.25x ≤ $35.50

B.  4 games  

Step-by-step explanation:

x = number of games played

$6.50 + $7.25x ≤ $35.50

7.25x ≤ 35.5 - 6.50

7.25x ≤ 29

x ≤ 29/7.25

x ≤ 4

The given values are below:

Note that point V is the intersection of the three perpendicular bisectors of a triangle which is also the center of the subtriangle circumference

So QV = RV = PV = 78

Point S is the midpoint of PR

So PR = 2,
PS = 2 x 64 = 128.

Because triangle QUV is a right triangle,

QV = 78.

UV= 30

QV^2 + UV^2 = QV^2

Therefore, PU = 72

Read more about perpendicular bisectors here:

https://brainly.com/question/11006922

#SPJ1

After the raise, the salary of woman becomes $2700.

The answer was determined through simple arithmetic calculations.

This method of calculation can be applied to any similar scenario where an initial salary is reduced by a certain percentage and then increased by another percentage. The formula used can be generalized as:

Final Salary = (Initial Salary - Initial Salary * Reduction Percentage) * (1 + Raise Percentage)

It's a simple and straightforward method that can be easily applied to find the final salary in similar cases.

Learn more about Salary Reduction and Raise here:

https://brainly.com/question/15997856

#SPJ4

The lengths that the bolt will be destroyed are given as follows:

The lengths are obtained applying the proportions in the context of this problem.

Considering the mean length of 12 cm, and the standard deviation of 0.1 cm, the length that is 2 standard deviations below the mean is given as follows:

12 - 2 x 0.1 = 11.8 cm.

The length that is 2 standard deviations above the mean is given as follows:

12 + 2 x 0.1 = 12.2 cm.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

According to the question, the depth of the water is 11 feet.

The depth of something refers to how deep or far down it goes. It can refer to physical measurements such as the depth of a lake or ocean or the depth of a hole, or to metaphorical measurements such as the depth of knowledge or the depth of emotions. In terms of physical measurements, depth is usually referred to in terms of length or distance.

Let x be the depth of the water

The reed is 11 feet tall (10 feet in the water + 1 foot above the water)

The circumference of the pool is 10π feet

The volume of water in the pool = (circumference x depth) = 10πx

The volume of the reed = (area of base x height) = π(5²) x 11 = 275π

The total volume of the pool and reed = 10πx + 275π

10πx + 275π = 10π(11)

10πx = 110π

x = 11

Therefore, the depth of the water is 11 feet.

To learn more about depth

https://brainly.com/question/14603281

#SPJ1

Answer:

I need the answer tooo

To solve this problem using a Venn diagram, we need to start by drawing a rectangle to represent the group of 50 students, and then draw two overlapping circles to represent the subjects of Math and Science. Let's label the regions of the Venn diagram as follows:

We know that 20 students like only Math, 15 students like only Science, and the number of students who like both subjects is unknown. We also know that the number of students who like neither subject is double the number of students who like both subjects. Let's use this information to fill in the Venn diagram:

We can set up an equation using this information:

20 + 15 + MS + 2MS = 50

Simplifying this equation, we get:

3MS = 15

MS = 5

Now we can fill in the Venn diagram:

       M    MS

        \  /

         \/

        /  \

       S----MS

We know that MS = 5, so the number of students who like at most one subject is:

20 (like only Math) + 15 (like only Science) + MS (like both subjects) = 20 + 15 + 5 = 40.

Therefore, 40 students in the group of 50 like at most one subject.

We need to know how many gallons of gas $23.36 will buy, so we divide the amount by the cost per gallon: $23.36 ÷ $3.25 per gallon = 7.20 gallons.

Once we know how many gallons of gas we are buying, we can then find out how long it will take to pump that amount of gas. To do that, we multiply the number of gallons by the time per gallon: 7.20 gallons × 21 seconds/gallon = 151.2 seconds.

So, the answer to the question is 151.2 seconds, which is the total time it will take to pump $23.36 worth of gas at $3.25 per gallon and 21 seconds per gallon.

To know more about arithmetic

https://brainly.com/question/28369191

#SPJ4

Answer:

-2 leis.

Step-by-step explanation:

212 * 14 = 2,968 leis

2,968/30 = 99 boxes

99*30=2970

2968-2970=-2

There is a problem with the wording of this question. There isn't a total so it's really confusing...

131 customers would expect to pay with a debit card out of 700 Customers.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

customers paid by cash=35

customers used a debit card = 12

customers used a credit card = 17

If she is expecting 700 customers then number of customers used Debit card will be

= 700 x 12/ (35+12+17)

= 700 x 12/64

= 131.25

Learn more about Unitary Method here:

https://brainly.com/question/27146356

#SPJ1

Answer:

6. 4x + 28 + x + 19 + 3x + 13

x = 15

7. x + 123 + 113 + 97 + 90 = 540

x = 117

Step-by-step explanation:

6. 4x + 28 + x + 19 + 3x + 13 = 180

8x + 60 = 180

8x = 120

x = 15

7. x + 123 + 113 + 97 + 90 = 540

x + 423 = 540

x = 117

Answer:

the value of x is 5

Step-by-step explanation:

3x=6+9

3x=15

x=5

Answer: This question can be solved using exponential growth formula:

N = N0 * e^(rt)

Where N is the number of smartphones, N0 is the initial number, r is the growth rate, t is the number of years and e is the base of the natural logarithm (approximately equal to 2.718).

First, we need to find the growth rate:

r = (ln(N/N0)) / t

Using the data from 2010 and 2011:

r = (ln(72.9/39.99)) / 1

Next, we can find the year when the number of smartphones sold exceed 200 million:

N = 200 million

N0 = 39.99 million

t = (ln(N/N0)) / r

t = (ln(200/39.99)) / r

To find the year, we need to add t to the initial year 2010.

The number of smartphones the brand sold exceeded 200 million in the year 2023.

Step-by-step explanation:

The value of the expression after evaluating it according to the values of c and d is 42.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Since, no expression is given, let us assume that the expression is

c + d / 4

Now we have to evaluate the value of the expression according to the values of c and d,

For that, we will simply put the given values in the expression and solved it accordingly,

Put c = 36 and d = 24 in the expression we assumed,

c + d / 4 = 36 + 24/4

= 36 + 6 = 42

Hence, the value of the expression after evaluating it according to the values of c and d is 42.

Learn more about expressions, click;

https://brainly.com/question/13947055

#SPJ1