What are the examples of ASA congruence?

Answer:

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.

                                   Hope this helps!

Answer:

Step-by-step explanation:

You want the equations of the lines parallel and perpendicular to y=-4x+4 through the points (-6, -4) and (-6, 4), respectively.

The equation of the given line is in slope-intercept form. This means its slope is the coefficient of x: -4.

Parallel lines have the same slope, so the parallel line will have slope -4.

Perpendicular lines have opposite reciprocal slopes, so the perpendicular line will have slope -1/(-4) = 1/4.

The point-slope equation of a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

This problem gives you a point on each line, and we know the required slope, so this form of the equation for a line is just what we need.

  m = -4, (h, k) = (-6, -4)

  y +4 = -4(x +6)

  m = 1/4, (h, k) = (-6, 4)

  y -4 = 1/4(x +6)

The five inequality symbols are greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), and not equal to symbol ().

To learn more about  inequality refer to:

https://brainly.com/question/25275758

#SPJ4

Answer:

$13.50

Step-by-step explanation:

If the shirt is 10% off, that means the shirt is 90% of the original cost, which is $15.

If the shirt is 90% of the original cost which is 15, that means that we must turn the percentage into a decimal (0.9) and multiply it by 15.

0.9*15 = 13.5

The sale price of the shirt is $13.50

The balance in the account after 10 years is $15,384.45

From the question, we are to use the compound interest formula to compute the balance in the account

From the compound interest formula, we have that

A = P(1 + r/n)^nt

Where A is the amount

P is the principal

r is the interest rate

n is the number of times compounded per year

and t is the time.

From the given information,

P = $12,000

r = 5%= 0.05

n = 4

t = 10

Putting the parameters into the formula

A = P(1 + r/n)^nt

A = 12000(1 + 0.05/4)^(4×5)

A = 12000(1 + 0.0125)^20

A = $15,384.45

Hence, the balance is $15,384.45

Learn more on Compound interest here: https://brainly.com/question/25545513

#SPJ1

Solving M2 in terms of Fg, G, M1 and r yields,

[tex]M2 = F {r}^{2} /GM1[/tex]

What does gravitational force between two objects mean?

An object with mass attracts another object with mass this attractive force that exists between all objects is known as gravitational force. It is directly proportional to the masses of the two objects and inversely proportional to the square of the distance between the two objects.

Given,

The formula to calculate the gravitational force between two objects is F,

[tex]F=G M1 M2/ {r}^{2} [/tex]

where M₁ and M2 are the masses of the objects, G is the gravitational constant and

r is the distance between the objects.

Solving the equation for G2 we get,

[tex]F {r}^{2} =G M1 M2[/tex]

[tex]F {r}^{2}/G M1=M2[/tex]

[tex]M2 = F {r}^{2} /GM1[/tex]

This means, if there are two objects having mass M1 and M2 then M2 is directly proportional to the gravitational force between the two objects and the square of the distance between them, and it is indirectly proportional to M1.

Hence,

Solving M2 in terms of Fg, G, M1 and r yields,

[tex]M2 = F {r}^{2} /GM1[/tex]

Read more about Gravitational Force between two objects athttps://brainly.com/question/22822200

#SPJ1

Answer: B

Step-by-step explanation:

     First, we will turn this equation into slope-intercept form as it is easier to view in terms of a graph.

     Given:

x - y = 2

     Add y and subtract 2 from both sides of the equation:

y = x - 2

     We can see that this equation has a y-intercept of -2, so it must intercept the graph at (0, -2). The answer option that meets these requirements is B.

Answer: it is graph A

Step-by-step explanation:

It is pretty easy to tell when x-y= -2

Let's say x is 0 then we have left is -y=-2

So y= 2

And we have [0,2] so graph A is correct

Answer:

240 cm³

Step-by-step explanation:

Volume = [ 2(3) - 3]( 3 + 5)[ 3(3) + 1 ]

Volume = ( 6 - 3 )( 8 )( 9 + 1)

Volume = ( 3 )( 8 )( 10 )

Volume = 24(10)

Volume = 240 cm³

Back to Ten Facts -When subtracting two integers when the digit in the ones place is the same and the larger number has a 1 in the tens place, the result is 10 (for example, 15-5=10, 13-3=10, 12-2=10, etc.).

Subtraction:

Subtraction symbolizes the process of removing elements from a collection. The negative sign represents subtraction. If, for example, four of the nine oranges that are stacked together (as in the figure above) are then relocated to a basket, the stack will now only contain five oranges as opposed to nine. Thus, 5 is equal to 9 less 4 and is the difference between 9 and 4. In addition to natural numbers, other kinds of numbers can also be subtracted. The symbol for subtraction is the letter "-." The difference, the minuend, and the subtrahend are the three numerical components that make up the subtraction operation.

To learn more about subtraction visit: https://brainly.com/question/2346316

#SPJ4

It is not a function because it has one-to-many function when it also has one-to-one and many-to-one.

Given that,

In the picture we have a diagram

We have to find if the diagram is a function or not.

We know that,

Mathematical calculus' core component is functions. The unique types of relationships are the functions. When it comes to math, a function is represented as a rule that produces a different result for each input x.

Function is satisfy one-to-one and many-to-one.

So,

In the picture we can see

Input -2 to output 7 it is one-to-one

Input 7 to output 8 and 2 it is one-to-many

Input 11 and 2 1/3  to output 5 it is many-to-one

Therefore, It is not a function because it has one-to-many function when it also has one-to-one and many-to-one.

To learn more about function visit: https://brainly.com/question/5975436

#SPJ1

We know that  △ ABC ≅ △ DEF are congruent because AB corresponds to DE of another triangle, BC corresponds to EF and AC corresponds to DF.

According to the question,

We have the following information:

△ ABC ≅ △ DEF

Now, we know that this sign is used to show that the two triangles are congruent.

Now, we also know that in these two triangles, their corresponding sides will be equal. So, all the three sides of one triangle will be corresponding to the same sides in another triangle.

Hence, we know that  △ ABC ≅ △ DEF are congruent because AB corresponds to DE of another triangle, BC corresponds to EF and AC corresponds to DF.

To know more about congruent here

https://brainly.com/question/16986516

#SPJ4

The mean, median and mode of the distance from home plate to the left-field fence  is 302.57 ft, 303 ft, 310 ftrespectively.

Mean is the sum of all values divided by the total number of values

To calculate the mean of the data given, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

Also, to calculate the median of the distribution, we arrage the data into ascending or decending order.

Ascending order ⇒ 279, 297, 301, 303, 310, 310, 321

Then, the median is the middle term in the distribution

Finally to get the mode, we look for the term in the distribution that has the higest frequency.

Hence, the mean, median and mode is 302.57ft, 303 ft, 310 ft respectively

Learn more about mean here: https://brainly.com/question/14532771

#SPJ1

The value of variable x is 19.20.

Let's find the value of variable x in the equation.

A variable is a number represented with letters in an equation.

Therefore,

x / 6 + 4 / 10 = 3 + 6 / 10

Therefore, let's find the variable x.

10x + 24 / 60 =  30 + 6 / 10

10x + 24 / 60 = 36 / 10

60 × 36 = 10(10x + 24)

2160 = 100x + 240

2160 - 240 = 100x

1920 = 100x

divide both sides by 100

x = 1920 / 100

x = 19.20

learn more on equation here: https://brainly.com/question/29279771

#SPJ1

The binary number (100[tex])_2[/tex] in decimal system is written as [tex]4_{10}[/tex].

Given:

Binary number = [tex](100)_2[/tex]

Converting Binary to decimal system:

Binary:

In computer applications, where binary numbers are represented by only two symbols or digits, i.e. 0 (zero) and 1(one).

Decimal:

Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point.

[tex]100_2 = 1*2^2 + 0*2^1+0*2^0[/tex]

we know that,

[tex]2^0 = 1[/tex]

[tex]2^1 = 2\\2^2 =4[/tex]

substitute these values

[tex]100_2 = 1*4 + 0*2 + 0*1[/tex]

= 4 + 0 + 0

= 4 + 0

= [tex]4_{10}[/tex]

Learn more about the decimal here:

https://brainly.com/question/548650

#SPJ4

The linear inequality examples are as follows,

What is linear inequality?

Any two real numbers or two algebraic expressions associated with the symbol ‘<’, ‘>’, ‘≤’ or ‘≥’ form a linear inequality. For example, 9<11, 18>17 are examples of numerical inequalities and x+7>y, y<10-x, x ≥ y > 11 are examples of algebraic inequalities.

The examples of linear inequalities in two variables are:

3x < 2y + 5

8y – 9x > 10

9x  ≥ 10/y

x + y ≤ 0

To know more about linear inequality, visit;

https://brainly.com/question/21103162

#SPJ4

Mixed Fractions A mixed fraction is a type of fraction in which there is a whole number part and a fractional part. For example, 31, 7, 3, 1, and 7 are all mixed fractions. It is also referred to as a mixed number.

Answer:

Fraction 7/2

Mixed fraction of the above 3 1/2

Step-by-step explanation:

a mixed number is a whole number and.  Fraction for an answer

So 3 1/2 is a mixed number 7/2 is the fraction befor reduced to a mixed number

Answer: 190208

Step-by-step explanation:

Answer:

  g. x = -3, 1.875

  h. (-3, 1.875)

Step-by-step explanation:

You want the solutions to K(x) = -6 for K(x) -1.6x² -1.8x +3, and the interval for which K(x) > -6.

The attached graph shows K(x) = -6 for x = -3 and x = 1.875.

The attached graph shows K(x) > -6 between the above values, on the interval (-3, 1.875).

__

Additional comment

We are grateful that we are directed to use technology on this problem, as a graphing calculator makes answering these questions so much easier.

The measure of the base BC in the given triangle is (C) 25 units.

A polygon with three edges and three vertices is called a triangle.

It is one of the fundamental geometric shapes.

The letter ABC stands for a triangle having the vertices A, B, and C.

In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

If all of the geometry is in the Euclidean plane, then all triangles are encompassed in a single plane, however, in higher-dimensional Euclidean spaces, this is no longer the case.

This article concerns triangles in Euclidean geometry, specifically the Euclidean plane unless otherwise stated.

So, the given triangle is an isosceles triangle with AB = AC.

Then get the value of x as follows:

AB = AC

4x + 1 = 2x + 23

4x - 2x = 23 - 1

2x = 22

x = 22/2

x = 11

Now, substitute x = 11 in 3x - 8 that is BC.

3x - 8

3(11) - 8

33 - 8

25

Therefore, the measure of the base BC in the given triangle is (C) 25 units.

Know more about triangles here:

brainly.com/question/28889256

#SPJ4

Correct question:
What is the measure of the base in the triangle below?

a. 11

b. 45

c. 25

d. 30

The approximate percentage of daily phone calls numbering between 32 and 68 is 99.73

From the question, the given parameters about the distribution are

The z-score of the data value is calculated using:

z = (x - mean value)/standard deviation

Substitute the given parameters in the above equation

z = (x - 50)/6

When x = 32, we have

z = (32 - 50)/6 = -3

When x = 68, we have

z = (32 - 50)/6 = 3

The percentage is then calculated as:

P(32 < x < 68) = P(-3 < z < 3)

From the z table of probabilities, we have;

From the z table of probabilities, we have;

P(32 < x < 68) = 0.99865 - 0.0013499

Evaluate

P(32 < x < 68) = 0.9973001

Rewrite as

P(32 < x < 68) = 99.73%

Hence, the percentage is 99.73%

Read more about probability at:

brainly.com/question/25870256

#SPJ1

The value of s in the formula

[tex]s = ut + \frac{1}{2}at^2[/tex] is [tex]\frac{19}{4}[/tex]

What is subject of a formula?

At first, it is important to know about formula

Formula is an equation which consists of variables and numbers and they are connected by mathematical operations.

In a formula, there are many variables present.

Subject of a formula is that variable which can be expressed in terms of other variables present in the formula.

Here, s is the subject of the formula

[tex]s = ut + \frac{1}{2}at^2[/tex]

u = 10, a = -2, t = [tex]\frac{1}{2}[/tex]

s = [tex]10 \times \frac{1}{2} + \frac{1}{2}\times (-2) \times (-\frac{1}{2})^2\\[/tex]

s = [tex]5 - \frac{1}{4}[/tex]

s = [tex]\frac{20 - 1}{4}\\[/tex]

s = [tex]\frac{19}{4}[/tex]

To learn more about subject of a formula, refer to the link-

https://brainly.com/question/21140562

#SPJ4

Function composition is only one way to combine existing functions. Another way is to carry out the usual algebraic operations on functions, such as addition, subtraction, multiplication and division.

Find the attachment of answer

Learn more about composition function refer to :

https://brainly.com/question/10687170

#SPJ4

The solution to this system of linear equations is x = 3 & y = -1.

Given linear equations are

2x + 3y = 3   ---- 1

7x - 3y = 24  ---- 2

By dividing both the equations, we get

9x = 27

x = 27/9

x = 3

Now substituting x = 3 in the equation 1, we get

2(3) + 3y = 3

6 + 3y = 3

3y = 3 - 6

y = -3/3

y = -1

Hence the answer is the solution to this system of linear equations is x = 3 & y = -1.

To learn more about linear equations click here https://brainly.com/question/28732353

#SPJ4

The volume of the cone is 91.05[tex]m^{3}[/tex]

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the centre of base) called the apex or vertex. We can also define the cone as a pyramid which has a circular cross-section, unlike pyramid which has a triangular cross-section.

circumference of the base of a cone is same as circumference of a circle which is 2[tex]\pi[/tex]r

15.8 = 2[tex]\pi[/tex]r

make r subject of equation

r = [tex]\frac{15.8}{2\pi }[/tex]

r = 2.51m

Volume of a cone = 1/3 x [tex]\pi[/tex][tex]r^{2}h[/tex], but h =13.8m

volume = 1/3 x 3.142 x [tex](2.51)^{2}[/tex] x 13.8 which is 91.05[tex]m^{3}[/tex]

In conclusion the volume of the cone is 91.05[tex]m^{3}[/tex]

Learn more about cone: https://brainly.com/question/281091687

#SPJ1

The equivalent rational expression of the given expression, 9/5u² - 40u - 45, is 9/(5u + 5)(u - 9)

The equivalent rational expression of the given expression, 2u/5u² + 30u + 25 , is 2u/(5u + 5)(u + 5)

From the question, we are to rewrite the given expressions as equivalent rational expressions.

The given expressions are:

9/5u² - 40u - 45 and 2u/5u² + 30u + 25

Writing an equivalent expression for 9/5u² - 40u - 45

Factorize the denominator

5u² - 40u - 45

5u² - 45u + 5u - 45

5u(u - 9) + 5(u - 9)

(5u + 5)(u - 9)

Thus,

The equivalent expression is 9/(5u + 5)(u - 9)

Writing an equivalent expression for 2u/5u² +30u + 25

Factorize the denominator

5u² +30u + 25

5u² +25u + 5u + 25

5u(u + 5) + 5(u + 5)

(5u + 5)(u + 5)

Thus,

The equivalent expression is 2u/(5u + 5)(u + 5)

Learn more on Writing equivalent expressions here: https://brainly.com/question/25292194

#SPJ1

The center is (6, 1) of the given circle with the equation  x²+y²-12x-2y+12=0.

Simply put, a circle is a rounded shape without any edges or line segments. It has the geometric shape of a closed curve.

A circle is a closed shape that can be created by following a moving point in a plane while maintaining a constant distance from another point.

The Greek word kirks, which means hoop or ring, is whence the word circle gets its form.

So, we have the equation: x²+y²-12x-2y+12=0

Compared to the circle's basic equation:

2 + y² + 2gx + 2fy + c = 0

2g = -12, 2f = -2, c = 12

g = -6, f = -1

Centre = (-g, -f)= (6, 1)

Now, fill in the square:
x² - 12x + 36 + y² - 2y + 1 = -12 + 36 + 1

(x - 6)² + (y - 1)² = 25

(x - 6)² + (y -1)² = 52

When compared to the equation for a circle with the centers at (h, k) and radius "r," Centre = (h, k) = (6,1).

Therefore, the center is (6, 1) of the given circle with the equation  x²+y²-12x-2y+12=0.

Know more about circles here:

https://brainly.com/question/24375372

#SPJ4

Correct question:
What is the center of a circle whose equation is x²+y²-12x-2y+12=0?

Answer:

6,1

Step-by-step explanation:

trust me

The function of the graph is g(x) = [x]+2

A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

definition of terms

y = output variable

x = input variable

m = slope

c = y intercept

The c from the graph is +2

m for points (1, 3) and (-3, -1)

= (-1 - 3) / (-3 - 1)

= -4/-4

= 1

substituting to the equation  y = mx + c

y = x + 2

Learn more about linear functions graphs at:

https://brainly.com/question/29244324

#SPJ1

Any polygon that is equilateral and equiangular is a regular polygon. In other words, the sides or edges and interior angles of a regular polygon are both congruent.

Given that,

We have to find what are the 2 characteristics of a regular polygon.

We know that,

Any polygon that is equilateral and equiangular is a regular polygon. In other words, the sides or edges and interior angles of a regular polygon are both congruent.

Regular triangles and quadrilaterals are given unique names, such as squares and equilateral triangles.

Therefore, Any polygon that is equilateral and equiangular is a regular polygon. In other words, the sides or edges and interior angles of a regular polygon are both congruent.

To learn more about polygon visit: https://brainly.com/question/10441863

#SPJ4

Answer:

6.3[tex]\pi[/tex]

Step-by-step explanation:

6.3[tex]\pi[/tex] is the exact answer.

C= circumference

d = diameter

C = [tex]\pi[/tex]d

C = 6.3[tex]\pi[/tex]

Pi is an irrational number.  It never ends or terminates.  We will often use 3.14 for an estimate of Pi, but you were asked for an exact answer.

The steam-leaf display is shown as follows

A stem and leaf plot resembles a bar graph in appearance. The term stems from the fact that each number in the data is divided into a stem and a leaf. The number's final digit is not part of the stem. The number's leaf will always be one digit.

Pencil and paper can be used to quickly create the plot. The plot can be used to determine the values of each individual data point. Since the stem is not repeated across multiple data points, the data is organized compactly.

The stem-and-leaf display for the given data is shown below followed by a detailed explanation.

0|358

1|25179476

2|73823

3|44

4|0

Note that it is often customary to organize the "leaf" values from lowest to highest as follows:

0|3578

1|12456779

2|23378

3|44

4|0

Each row's initial number is referred to as the stem, and the group of numbers that come after it as the leaves. The tenth position of the numerals is indicated by the stem. Therefore, a stem of 0 indicates a single-digit number, a stem of 1 indicates a number between 10 and 19, and so on. The leaves identify the numerals' unit position. If the number is 28, for instance, the stem and leaf are each two.

The data for stem 0 contains four one-digit numbers, which are 3, 5, 8 and 7 in appearance order. Therefore, the stem 0's leaves are 3, 5, 8, and 7.

Eight values between 10 and 19 may be found in the data for stem 1, and they are 12, 15, 11, 17, 19, 14, and 16 in that sequence. Therefore, 2, 5, 1, 7, 9, 4, and 6 make up the stem 1's leaves.

Five values between 20 and 29 may be found in the data for stem 2, and they are 27, 23, 28, 22, and 23 in that sequence. As a result, the stem 2's leaves are 7, 3, 8, and 3.

For stem 3, the data contain two integers between 30 and 39 that, in the order of appearance, are 34 and 34. The leaves for the stem 3 are therefore formed by 4 and 4.

For stem 4, the data only contains the number 40, which falls within the range of 40 to 49. Consequently, 4 creates the leaf for stem 2.

To learn more about steam and leaf click the following link :-

https://brainly.com/question/8649311

#SPJ1