To prove triangles similar, we only need to prove corresponding angles congruent OR corresponding sides are proportional. However, with a quadrilateral we need to prove corresponding angles congruent AND corresponding sides are proportional. Explain in your own words why it takes more to prove quadrilaterals congruent. Include examples demonstrating how “just angles” or “just sides” is not enough.

Answer:

5

Step-by-step explanation:

3(2)-1

6-1

5

Answer:

5

Step-by-step explanation:

3(2)-1

6-1

5

Step-by-step explanation:

4(5x-9)=-2(x+7)

4*5x-4*9=-2*x-2*7

20x-36=-2x-14

20x+2x=-14+36

22x=22

x=22/22

x=1

Steps to solve:

185 = -5(10r + 3)

~Distribute right side

185 = -50r - 15

~Add 15 to both sides

200 = -50r

~Divide -50 to both sides

-4 = r

Best of Luck!

Answer:

r=-4

Step-by-step explanation:

185= - 5 10 r + 3

37= 10 r + 3

10r = - 3 - 37

10 r = - 40

Answer:

3 rows

Step-by-step explanation:

Answer:

3 rows

Step-by-step explanation:

you just divide

Answer:

$61.99

Step-by-step explanation:

To find the total, we need to add.

Let's start with the ticket and the soda.

54+2=56

0.85+0.15=1

56+1=57

Next, add the price of the hot dog.

4.99 rounds to 5, so 57+5=62

62-0.01=61.99 (here we subtracted the one cent we originally rounded up)

$61.99

Hope this helps :-)

Answer:

61.99

Step-by-step explanation:

Answer:

9 and 1/5

Step-by-step explanation:

4*9=36

5*(1/5)=1

Answer:

4*_9_=36   1  point 5 _0.5__=1

Step-by-step explanation:

okay all u have to do is 36 divided by 4 is 9. 1.5 __0.5__ =1.0

Answer:

Step-by-step explanation:

im pretty sur ethe answer is 58... i havent done this is 3 yeras so if its wrong sorry

Answer:

He would use mean as a statistic to compare the spread of the two sets of data.

Step-by-step explanation:

What is mean?

Arithmetic Mean represents a number that is obtained by dividing the sum of the values of a data set by the total number of values

What is statistic?

A statistic (singular) or sample statistic is any quantity computed from values in a sample which is considered for a statistical purpose.

The mean takes into account the whole spread of the data among the various statistic and is helpful in comparing data.

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Answer:

D. standard deviation

Step-by-step explanation:

100% on edge

Answer:

1.) Reflection over y=1

2.) Translation rule: (x-5, y-3)

3.) Reflection over the y axis

4.)Translation rule: (x-4, y+1)

Step-by-step explanation:

Answer:

I think it is a

Step-by-step explanation:

Answer:

Step-by-step explanation: fg + Gh = fh

8x+1=9

8x=8

X=1

The numerical length of the line segment FG is 7 units.

Given that, FG=5x+2, GH= 3x-1, and FH= 9.

We need to find the numerical length of FG.

A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.

Now, FH=FG+GH

⇒9=5x+2+3x-1

⇒8x+1=9

⇒8x=8

⇒x=1

So, FG=5x+2=7

Therefore, the numerical length of the line segment FG is 7 units.

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Hey there! I'm happy to help!

Let's call the cost of a bread loaf b and the cost of a milk gallon m. Here is the info we have.

4b+3m=20

6b+2m=25

We solve one equation for b or m (we will solve the first one for b.

4b+3m=20

Subtract 3m from both sides.

4b=20-3m

We divide both sides by 4.

b=5-3/4m

We plug this value of b into the second equation to solve for m.

6(5-3/4m)+2m=25

We use distributive property to undo the parentheses.

30-4.5m+2m=25

We combine like terms.

30-2.5m=25

We subtract 30 from both sides.

-2.5m=-5

We divide both sides by -2.5

m=2

We plug this m into one of the original equations to find b.

4b+3(2)=20

4b+6=20

Subtract 6 from both sides.

4b=14

Divide both sides by 4.

b=3.5

So, a loaf of bread costs $3.50 and a gallon of milk costs $2.00.

Have a wonderful day!:D

Answer:

MC =37.5

Step-by-step explanation:

In [tex] \triangle ABC,\: \angle B = 90\degree [/tex] and [tex] BM \perp AC.[/tex]

[tex] \therefore \angle AMB = 90\degree [/tex]

By Pythagoras Theorem:

[tex]AM^2 + BM^2 = AB^2 \\

BM^2 = AB^2 - AM^2 \\ BM^2 = {10}^{2} - {2.5}^{2} \\ BM^2 = 100 -6.25 \\ \red{BM^2 = 93.75} \\ now \: by \: geometric \: mean \: theorem : \\ BM^2 =AM \times MC \\ 93.75 = 2.5\times MC \\MC = \frac{93.75}{2.5} \\ \huge \orange{ \boxed{ MC =37.5}} \\ [/tex]

Answer:

x = 400 m^2

Step-by-step explanation:

[tex]\frac{1}{2}(7.5cm * x) = 1500m^2 \\\frac{1}{2}(7.5cm * x) = 150,000cm^2 \\7.5cm * x = 300,000cm^2 \\x = 40,000 cm^2\\x = 400 m^2[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{-4d^{2}+15d^{2}}{5}=\frac {11d^{2}}{5}\\\\=\frac{11*1^{2}}{5}\\\\=\frac{11}{5}\\\\=2\frac{1}{5}[/tex]

The price of the pillow in the department store is $12.75

The wholesale price of the pillow= 7.50

The store mark up price was increased by 70

The price can be calculated as follows

70/100 × 7.5

= 0.7 × 7.5

= 5.25

5.25 + 7.50

= 12.75

Hence the price of the pillow is $12.75

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Answer: See below

Step-by-step explanation:

a.

To solve for h, we want to use algebraic properties to isolate h.

[tex]A=\frac{1}{2}h(b_1 +b_2)[/tex]                [multiply both sides by 2]

[tex]2A=h(b_1 +b_2)[/tex]                 [divide both sides by b₁+b₂]

[tex]\frac{2A}{b_1+b_2} =h[/tex]

[tex]h=\frac{2A}{b_1+b_2}[/tex]

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

b.

To solve for b₂, we first multiply both sides by 2. Then, we divide both sides by h. This leaves us with [tex]\frac{2A}{h} =b_1+b_2[/tex]. To get b₂, you subtract both sides by b₁.

Answer:

h=2A/(b1+b2)

and

b2=2A/h-b1.

If a set contains ‘n’ elements, then the number of proper subsets of the set is 2^n - 1.

In this problem,

n = 4

2^4 - 1 = 16 - 1 = 15 proper subsets

Answer:

5544 cm²

Step-by-step explanation:

Radius of circle = r

Circumference = 2πr

2πr = 264

22/7*r = 132

r = 132*7/22

 = 42 cm

Area = πr²

        = 22/7*42*42

        = 5544 cm²

The answer would be letter B.

Answer:

7⅔ window cleaner

Step-by-step explanation:

23 =3w

x= 1w

3x =23

x= 7⅔ window cleaner

From the question, we know that the sum of BC and CD equals BD.

BD = BC + CD = 7x - 10

BC = 4x - 29

CD = 5x - 9

Let's set BC and CD equal to BD

4x - 29 + 5x - 9 = 7x - 10

Combine like terms on the left side.

9x - 38 = 7x - 10

Add 38 to both sides and subtract 7x from both sides.

2x = 28

Divide both sides by 2

x = 14

Answer:

Step-by-step explanation:

Hope this helps

Answer:

Exercise, 8 hrs of sleep, healthy diet with lots of fruits and vegetables are all good for your health

Step-by-step explanation:

Answer:

116

Step-by-step explanation:

Answer: -20 spaces

Step-by-step explanation:Hello! I hope this helped you out :)

Answer:

Scientific notation is used to write very large or very small numbers using less digits. ... See how scientists use this notation to describe astronomical distances, such as the distance between planets, or microscopic distances, such as the length of a blood cell.

Step-by-step explanation:

These are just a few examples of how scientific notation is used in the real world. Its versatility allows scientists, engineers, mathematicians, and professionals from various disciplines to work with numbers efficiently and communicate effectively across different scales.

Scientific notation, also known as exponential notation, is widely used in various fields to express very large or very small numbers in a more convenient and concise format. Here are some examples of how scientific notation is used in the real world:

Astronomy: Scientific notation is essential in astronomy to represent the vast distances between celestial objects. For instance, the distance between the Earth and the Sun is approximately 93 million miles or 1.496 × 10²kilometers.

Physics: Scientists often use scientific notation to express the values of physical constants, such as the speed of light (2.998 × 10^8 meters per second) or the Planck constant (6.62607015 × 10^-34 joule-seconds).

Chemistry: Scientific notation is commonly used in chemistry to express the magnitude of extremely small or large quantities of substances. For example, Avogadro's number, which represents the number of atoms or molecules in one mole of a substance, is approximately 6.022 × 10².

Medicine: In medical and biological sciences, scientific notation is employed to represent quantities such as cell counts, enzyme activity, or concentrations of substances. It allows scientists and healthcare professionals to work with numbers that span a wide range, from tiny quantities to large-scale measurements.

Finance and Economics: Scientific notation is useful in financial and economic calculations, especially when dealing with large numbers such as national debt, gross domestic product (GDP), or company revenues. It simplifies the representation and manipulation of these values.

Engineering: In various engineering disciplines, scientific notation is used to express measurements and quantities, such as distances, weights, electrical currents, and voltages. It enables engineers to work with both very large and very small values encountered in their calculations and designs.

Computer Science: Scientific notation is employed in computer science to represent large or small numbers in computer programming. It is particularly useful when dealing with values that exceed the capacity of standard data types or when expressing very small probabilities or error values.

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Answer:

2+3x

Step-by-step explanation:

2 is starting height. 3 is multiplier of how much it increases per year. x is the number of years