20 PTS-what Theorem can be used to prove these triangles are congruent

The product value of 4 x 5(1/8) is 4(5) + 4(1/8).

Option A is the correct answer.

The product value of 4 x 5(1/8) is 20(1/2).

Option B is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4 x 5(1/8)

= 4 x (5 + 1/8)

= 4 x 5 + 4 x 1/8

4 x 5(1/8)

= 4 x (5 + 1/8)

= 4 x 5 + 4 x 1/8

= 20 + 1/2

= 20(1/2)

Thus,

4(5) + 4 (1/8) is the value.

20(1/8) is the value.

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Answer:

Step-by-step explanation:

b and f

None of the listed methods are used for enumerating sample points in a multiple-step experiment. So, option D is the correct answer.

Graphical methods are important mathematical tools that are very helpful when it comes to managing a vast amount of data. These also help when we need to visually represent data. These methods help quite a lot since they make it easier to keep track of data and understand it as well.

A bar chart and a histogram are similar tools that are used to represent data by plotting them as rectangular bars. These can be either vertical or horizontal. A pie chart is also a tool that uses a shape for data visualization. In its case, it represents data in the shape of a circle and all categories/data sets have their slices. So, this means that these three are not methods that can be used for enumerating sample points in a multiple-step experiment. Hence, option D is the correct option.

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The solution to the polynomial is x = -1, x = 1/2 and x = -1

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

2x³ - x² - 2x + 1

Expand

2x³ - x² - 2x + 1 = 2x³ - x² - 2x + 1

Factorize the expression

This gives

2x³ - x² - 2x + 1 = x²(2x - 1) - 1(2x - 1)

Factor out 2x - 1

2x³ - x² - 2x + 1 = (x² - 1)(2x - 1)

Express x² - 1 as difference of two squares

2x³ - x² - 2x + 1 = (x - 1)(x + 1)(2x - 1)

So, we have

(x - 1)(x + 1)(2x - 1) = 0

Solve for x

x = 1, x = -1 and x = 1/2

Reorder the solutions

x = -1, x = 1/2 and x = -1

Hence, the solution is x = -1, x = 1/2 and x = -1

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Answer:

Bonjour is the bonjour of qui

Step-by-step explanation:

Points points

Answer: 0.8 what?

Step-by-step explanation:

prolly likely

Answer: No, it is not a solution.

Step-by-step explanation:

   We will substitute the point given, and if the inequality is true after simplifying then it is a solution.

 Given:

3x + 11y ≤ 8

 Substitue:

3(1) + 11(7) ≤ 8

 Multiply:

3 + 77 ≤ 8

 Add:

80 ≤ 8 ✗

Answer:12+2y

Step-by-step explanation:Multiple the -2 by each value inside of the parenthesis, -2 * -6 = 12, -2 * -y = 2y, then add these together to get 12+2y.

Answer:

[tex]y = \frac{2}{5}x[/tex]

Step-by-step explanation:

⭐Perpendicular bisector of a segment

⭐Midpoint formula

⭐Point-slope form

⭐Slope

⭐Slope-intercept form

1. Find the midpoint of the given segment

[tex]midpoint = (\frac{(x_1+x+2)}{2}, \frac{(y_1+y_2)}{2})[/tex]

[tex](x_1,y_1)[/tex] = (3,7)

[tex](x_2,y_2)[/tex] = (7,-3)

∴ midpoint  [tex](\frac{3+7}{2}, \frac{7+(-3)}{2})\\= (\frac{10}{2}, \frac{4}{2})\\= (5,2)[/tex]

2. Find the slope of the given segment

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex](x_1,y_1)[/tex]  = (3,7)

[tex](x_2,y_2)[/tex] = (7,-3)

∴ slope [tex]m = \frac{-3-7}{7-3}\\= \frac{-10}{4}\\= \frac{-5}{2}[/tex]

3. Write the equation of the bisector equation in point-slope form

[tex]y - y_1 = m(x-x_1)[/tex]

4. Substitute the opposite-reciprocal of the given segment's slope into the bisector equation

The slope of the given segment is -5/2.

Therefore, the opposite-reciprocal of the given segment's slope is 2/5.

[tex]y - y_1 = \frac{2}{5}(x-x_1)[/tex]

5. Substitute the midpoint of the given segment into the bisector equation

midpoint = (5, 2)

[tex]y -2 = \frac{2}{5}(x-5)[/tex]

6. Expand & simplify the bisector equation to convert it into slope-intercept form

We need to convert  [tex]y -2 = \frac{2}{5}(x-5)[/tex] into [tex]y = mx + b[/tex] form.

[tex]y -2 = \frac{2}{5}x - \frac{2 * -5}{5}[/tex] . . . . . . . distribute the 2/5 into the parentheses

[tex]y -2 = \frac{2}{5}x - 2[/tex]      . . . . . . . compute

[tex]y = \frac{2}{5}x[/tex]                  . .  . . . .  add 2 to the LHS and RHS to isolate y

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We calculated   volume of pyramid = 160 cubic inches and surface area = 214.59 square inches.

A three-dimensional geometrical figure having flat polygon base along with a number of lateral triangular shaped faces.

The given pyramid is a rectangular pyramid having length 10 inch and width 8 inch. The height of pyramid is 6 inches.

length, l = 10 inch

width, w = 8 inch

height, h = 6 inch

Now the volume will be, V = 1/3 × l × w ×h

                                       V = 1/3 × 10 × 8× 6

hence, the volume = 160 cubic inches

We calculate the surface area of the given pyramid,

formula for surface area, SA = l × w + 1/2 × w ×√(4h²+l²) + 1/2 × l ×√(4h²+w²)

SA = 10 × 8 + 1/2 × 8 ×√(4×6²+10²) + 1/2 ×10×√(4×16²+8²)

Surface area = 214.593 square inches

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Yes, there is an association between the state and the amount of median debt for graduates.

Median debt is the midpoint of a range of debt levels for a specific group of people or organizations. This debt is usually reported as the sum of all loans and credit card balances owed by the group, divided by the total number of people or organizations in the group. Median debt is different from average debt, as it is not affected by extreme values. Median debt is a good measure of the financial health of a group because it provides an indication of the typical amount of debt held by an individual or organization.

In California, the median debt for graduates is significantly lower than in New York, with 130 graduates having median debt less than $9,000 and 445 graduates having median debt at least $9,000. In New York, 72 graduates have median debt less than $9,000 and 271 graduates have median debt at least $9,000. This indicates that graduates from California universities are more likely to have lower median debt than graduates from New York universities.

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Nolan would expect to earn $157 in a day when he waits in 12 tables.

Now, According to the question:

We have the following information:

Each day Nolan works, Nolan will make a guaranteed wage of $25, however the additional amount that Nolan earns from tips depends on the number of tables he waits on that day. From past experience, Nolan noticed that he will get about $11 in tips for each table he waits on.

Now, for waiting on 12 tables, he will get the fixed amount of 25 dollars and the amount for 12 tables.

So, the total amount will be:

25+11 × 12

$157

Hence, Nolan would expect to earn $157 in a day when he waits in 12 tables.

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The rule to find the cost and the cost of 7 packages can be given as 15n and $105 respectively.

When two quantities have some dependence in their values they can be said proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.

The table for the given case can be written as follows,

Packages of Golf Balls                                     Cost

        1                                                                  $15

        2                                                                 $30

        3                                                                 $45

        4                                                                 $60

The relation for proportionality can be obtained as,

15/1 = 30/2 = 45/3 = 60/4 = 15

(A) Suppose n be the number of packages.

Then, the cost is given as 15n.

(B) The cost of 7 packages is as below,

⇒ 15 × 7 = $105

Hence, the answers to both part can be given as 15n and $105 respectively.

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Answer:

i wish i could help im sorry

Step-by-step explanation:

im

not

ok

Answer:fixed cost=10

Independent variable=months paid

Dependent=hours on support

month=x,h=hour,10x+35h=total cost

97.50=10+35h

87.50=35h

h=2.5 hours

Step-by-step explanation:

showed work

The probabilities are given as follows:

The mass probability formula, giving the probability of x successes, is of:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

The parameter values for this problem are given as follows:

Hence the probability of one senior having the birthday on the same day as the graduation is of:

P(X = 1) = 68 x 1/365 x (364/365)^67 = 0.1550.

The probability of more than one is given as follows:

P(X > 1) = 1 - P(X <= 1).

In which:

P(X <= 1) = P(X = 0) + P(X = 1)

Hence:

Finally:

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The triangle LJK is congruent to the triangle RTS.

What do congruent triangles mean?

Triangles that are congruent share the same matching side lengths and angle measurements. The conditions for triangle congruence are: SSS, SAS (Side, Side, Side) (Side-Angle-Side)

According to the given image of triangles,

We can observe that:

∠L=∠R, ∠T=∠J, ∠S=∠K.

We can also observe that TS=JK, LK=RS, RT=LJ.

Therefore according to SSS congruency ΔLJK ≅ ΔRTS.

According to SAS congruency ΔLJK ≅ ΔRTS.

According to ASA congruency ΔLJK ≅ ΔRTS.

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Inversely proportional graphs are reciprocal graphs consisting of one smooth curve in the first quadrant only.

When one quantity grows, the other quantity decreases, and vice versa, this is known as an inverse proportion. Indirect proportion is another name for inverse proportion.

Consider a task like painting a fence as an illustration. The amount of time it takes to complete the task lowers as the number of employees rises. The amount of time it takes to complete the task grows as the number of workers reduces.

If y  is inversely proportional to x then we write y = 1/x

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Answer:

44 minutes

Step-by-step explanation:

Kiran reads 5 pages in 20 minutes, if we divide we will know that he reads 1 page in 4 minutes.

Multiply 4 by 11 to find out how long it will take him to read 11 pages.

11 times 4 = 44

It will take Kiran 44 minutes to read 11 pages.

Answer: It is a straight line

Step-by-step explanation:

Answer:

y ≤ [tex]\frac{1}{3}[/tex] x - 4

Step-by-step explanation:

the first step is to obtain the equation of the line.

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (3, - 3) ← 2 points on the line

m = [tex]\frac{-3-(-4)}{3-0}[/tex] = [tex]\frac{-3+4}{3}[/tex] = [tex]\frac{1}{3}[/tex]

the line crosses the y- axis at (0, - 4 ) ⇒ c = - 4

y = [tex]\frac{1}{3}[/tex] x - 4 ← equation of the line

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

the shaded region below the line indicates the values that are less than y

the solid line indicates that y can equal the values on the line (≤ )

the solution is then

y ≤ [tex]\frac{1}{3}[/tex] x - 4

On solving the provided question, we can say that - area of the following cylinder is [tex]2\pi rh + 2\pi r^2 = > 2 * 3.14 *3*2 + 2 *3.14*2*2 = > 62.8[/tex]

One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.

r=3

and h= 2

area =

[tex]2\pi rh + 2\pi r^2\\\\2 * 3.14 *3*2 + 2 *3.14*2*2\\62.8[/tex]

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The fraction of the teacups that are either indigo or orange is 7/12.

A fraction refers to a part of a whole number.  It is a proportional value.

A fraction is a quotient that results from a division operation when the numerator is divided by the denominator.

In a proper fraction, the numerator is smaller than the denominator.  This is not the case with improper fractions where the numerator is larger than the denominator.

There are complex, proper, and improper fractions.

The fraction of teacups that are indigo = 1/3

The fraction of teacups that are orange = 1/4

The fraction that are either indigo or orange = 7/12 (1/3 + 1/4)

Thus, the fraction or proportion of the Tea Shop's teacups that are either indigo or orange is 7/12.

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Answer:

1. 480
2. 30
3. 5
4. 480%

Step-by-step explanation:

1.
25% = 120
100% = 120 x 4 = 480
2.
100% = 120
25% = 120 : 4 = 25
3.
120 = 100%
6 = 6/120 x 100 = 5%
4.
25 = 100%
120 = 120/25 x 100 = 480%

For repairs that take five hours to complete, Charles and Paul will each charge a total of $120.

In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, first determine the slope and y-intercept. The slope is the ratio of the y-to-x change.

For charting linear functions, there are three fundamental techniques. The first method involves tracing a line through a set of points that have been plotted. The second method makes use of the slope and y-intercept. Applying transformations to the identity function f(x)=x f(x) = x is the third step.

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There are 37.8 ounces of almonds in a 42-ounce container of the company's mixed nuts.

We know that the company uses the same ratio of different types of nuts in each container. Therefore, we can use the ratio of peanuts to the total weight in the 20-ounce container to find the weight of almonds in the 42-ounce container.

In the 20-ounce container, 11 ounces of the nuts are peanuts. Therefore, 20-11 = 9 ounces of the nuts are not peanuts.

To find the weight of almonds in the 42-ounce container, we can use the same proportion of non-peanut nuts to the total weight. So,

9 ounces / 20 ounces = x / 42 ounces

Cross-multiplying we get:

9 × 42 ounces = 20 × x

x = 37.8 ounces

So, there are 37.8 ounces of almonds in a 42-ounce container of the company's mixed nuts.

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50-50-80 is a Isosceles acute triangle.

An isosceles acute triangle is a triangle in which all three angles are less than 90°, and at least two of its angles are equal in measurement. One example of the angles of an isosceles acute triangle is 50°, 50°, and 80°.

Properties of Isosceles Acute Triangle

It is easy to point to an isosceles acute triangle if we know its properties. The properties of the isosceles acute triangle are noted below:

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Answer:

Only sometimes true

Step-by-step explanation:

Now, I'm going to go out on a whim here, since your equation writing isn't the best, but I will assume that the equation is:

x = x/3 * 3x

Now, to simplify this equation, we will multiply both sides by 3, giving us:

3x = x * 3x

Then, simplify the left side:

3x = [tex]3x^{2}[/tex]

Divide by 3 gives us:

[tex]x = x^{2}[/tex]

Now, this is only true in two cases. When x is 1, and when x is 0. So, that equation is only sometimes true.

Hope this helped!

The amount made in commission is $67.5.

The amount made in sales by the store is $682.5.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Amount sold last week = $750.

Commission = 9%

The amount of commission.

= 9/100 x 750

= $67.5

The sales made last week by the store.

= 750 - 67.5

= $682.5

Thus,

$67.5 was made in commission.

$682.5 was made from sales.

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TLDs are the most common type of domain name and are typically three or more characters after the final dot in a domain name. ccTLDs are two-letter domains that represent a specific country or region.

Domain names are used to identify websites on the internet. There are two main types of domain names: top-level domains (TLDs) and country code top-level domains (ccTLDs).

TLDs are the most common type of domain name and are typically three or more characters after the final dot in a domain name. Examples of TLDs include .com, .org, .net, .edu, and .gov.ccTLDs are two-letter domains that represent a specific country or region. Examples of ccTLDs include .us for the United States, .au for Australia, .ca for Canada, .uk for the United Kingdom, and .fr for France.

When registering a domain name, users should choose a TLD or ccTLD that best suits their needs. For example, if they are targeting a global audience, they should consider a .com TLD. If they wish to target a specific country, they should consider a ccTLD.

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