State the theorem and find the value of x

State The Theorem And Find The Value Of X

Answers

Answer 1

Answer:

the sum of the interior angles of a triangle is always 180°

x = 12

Step-by-step explanation:

the sum of the interior angles of a triangle is always 180°

2x + 11 + 70 + 75 = 180

2x = 180 - 11 - 70 - 75

2x = 24

x = 12

----------

check

75 + 70 + 11 + 2 * 12 =              ( remember pemdas)

75 + 70 + 11 + 24 =

180°

the answer is good


Related Questions

Distribute 10(3x+8x^2)

Answers

Answer:

Evaluate

30x + 160xn

Step-by-step explanation:

Answer:

Solution :

30x + 80x^2

Step-by-step explanation:

1) Distribute the outer term into the first by multiplying the numerical values and then the terms

2) Repeat for the second one.

18
26
52
44
Mandy is working at the zoo. She must record the ages of the tortoises There are 9 tortoises.
Their ages are 29, 2, 12, 26, 18, 34, 54, 44, and 18.
What is the mean age of the tortoises? You may use a calculator. Round to the nearest whole
number.
3) Read the following and answer the question

Answers

Answer:

26 is the approximate mean

find the circomference of the circle.

Answers

Answer:

d=23in

circumference= πd

= 23×3.14

=72.22 probably

cost to rent a pavilion is $50 plus $15 for each hour of use.
e a rule for the cost of renting a park pavilion. Write ordered
= to represent the cost of renting a pavilion for 3, 4, 5, and 6 hours.

Answers

Answer:

the cost of renting the pavilion for 8 hours = $130

Step-by-step explanation:

$50 plus $10 per hour

so 8 hour  = 10 * 8 = $80

$50 + $80 = $130

Is 87 3 times as many as 29?

Answers

Answer:

Yes

Step-by-step explanation:

29 times 3 is 87

Hope It Helps

Sorry If I'm Wrong

so if you multiple 29 by 3 you should get 87 so yes it is equal

In a video game, players start with a score of 100 points.
They earn 8 points for each gold coin and 25 points for
each gem they find. Mario finds 3 gold coins and 2 gems.
Write and evaluate an algebraic expression to find Marios
score. Use c for the number of gold coins found and g for
the number of gems found. Show your work.
SOLUTION

Answers

Mario's score in the video game is 174.

What is Mario's score?

Mario's score is a function of the number of points started with, the point per coin, the point per gem , number of gem and coins found. The mathematical operations that would be used are addition and multiplication.

Addition is the process of determining the sum of two or more numbers. Multiplication is the process of determining the product of two or more numbers.

Mario's score = beginning point + (number of gold coins x score per gold coin) + (number of gems x score per gem)

Mario's score = 100 + 3c + 2g

Mario's score = 100 + (3 x 8) + (2 x 25)

Mario's score = 100 + 24 + 50 = 174

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This diagram shows a pre-image △ABC and its image, ​△A′′B′′C′′​ , after a series of transformations.

Select from the drop-down menus to correctly complete the statements.

△ABC is
1. reflected across the y-axis.
2. rotated 90 degrees counterclockwise about the origin.
3. translated 4 units right

to become △A′B′C′. Then ​△A′B′C′​ is

1. reflected across the x-axis.
2. reflected across the line y = x
3. rotated 90 degrees counterclockwise about the origin

to become ​△A′′B′′C′′​ . Because the transformations are
1. both rigid
2.not both rigid,

The pre-image and image are

1. congruent
2. not congruent

Answers

Using translation concepts, we have that:

△ABC is 3. translated 4 units right to become △A′B′C′. Then, △A′B′C′​ is 3. rotated 90 degrees counterclockwise about the origin to become △A′′B′′C′′​ .Because the transformations are both rigid, the pre-image and the image are congruent.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

On the translation of △ABC to △A′B′C′, the rule applied to the vertices is:

(x,y) -> (x + 4, y).

Hence it was translated 4 units right.

On the translation of △A′B′C′​ to △A′′B′′C′', the rule is given by:

(x,y) -> (-y,x).

Hence it was rotated 90 degrees counterclockwise about the origin.

The triangle keeps the same size after the translations, hence:

Because the transformations are both rigid, the pre-image and the image are congruent.

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Find the distance between the points J(-8, 0) and K(1, 4). Answer in simplest exact form.
What’s the exact distance?

Answers

Answer:

distance = [tex]\bf \sqrt{97}[/tex] units

Step-by-step explanation:

To find the distance between two points given their coordinates, we can use the following formula:

[tex]\boxed{\mathrm{distance} = \sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}}[/tex],

where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are coordinates of the two points.

The two points we are given are:

• J(-8, 0)

• K(1, 4).

Using these coordinates and the formula above, we can calculate the distance between the points:

distance = [tex]\sqrt{(-8 - 1)^2 + (0 - 4)^2}[/tex]

              = [tex]\sqrt{(-9)^2 + (-4)^2}[/tex]

              = [tex]\sqrt{81 + 16}[/tex]

              = [tex]\bf \sqrt{97}[/tex]

Therefore, the distance between J and K is [tex]\bf \sqrt{97}[/tex] units.

organic hotdogs are $2.00 each at the grocery store.At the major league baseball game, an organic hot dog costs $6.50. How much does the baseball field mark up its organic hot dogs?

Answers

answer: the markup is $4.50
Explanation: because it is

Answer:$4.50, or a 325% markup

Step-by-step explanation:

yes?

X And y values shown x
X. Y
2. 6
5. 15
8. 24

Answers

The constant of variation is 3.

How to illustrate the information?

It should be noted that in the information, we are given the values of both x and y.

When x is 2, y is 6. When x is 5, y is 15. Finally when x is 8, y is 24.

The constant is given as 6/2 or 15/5 or 24/8. This will give 3.

Therefore, the constant of variation is 3.

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X And y values shown x

X. Y

2. 6

5. 15

8. 24

What is the constant of variation?

Solve for x
5x³-15x²-90x=0

Answers

Answer:x=0,6,−3

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero

As Lucia fills her fish tank, she notices that it fills 8 cubic centimeters of water in 4 minutes.
How many cubic centimeters of water does it fill in 1 minute?

Answers

2 cubic centimeters
By doing 8 divided by 4

Is 1 an unequal number

Answers

Answer:

Step-by-step explanation:

i 1=i i+i = 1 paulit ulit lg pag dalawa ung term i po sagot jan

A rose bush grows at a rate of 1.5 inches per week about how tall will the rose bush be after 40 weeks will it be reasonable why and why not explain pls ASAP

Answers

The rose bush will be 60 inches tall after 40 weeks

Calculating height

From the question, we are to calculate how tall the rose bush would have grown in 40 weeks

From the given information,

"A rose bush grows at a rate of 1.5 inches per week"

To calculate how tall the rose bush would have grown in 40 weeks, we will multiply the rate at which the bush grows by 40

That is,

1.5 × 40

= 60 inches

Hence, the rose bush will be 60 inches tall after 40 weeks

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A can of soup is composed of 40% solids and 60% water. If a can of soup is mixed with two cans of water, what percentage of the mixture is water?

Answers

Assuming that a can of soup which has 60% water is mixed with two cans of water, the percentage mixture that is water is 87%.

What percentage is water?

Assuming the total quantity of a can is 100 ml, the quantity of water in the can of soup would be:

= 60% x 100

= 60 ml

If two more cans of water are added, the total amount of water is:

= 60 + 100 + 100

= 260 ml

The percentage of water is:

= 260 / (100 + 100 + 100)

= 87%

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(6(2 + 4) - 1)/(2 * 3 + 1)
Evaluate each expression using the order of operations

Answers

Answer:

11/7 is the answer

to your question

The post office will only accept packages for which the length plus the "girth" (distance around) is no more than 108 inches. Thus, we must have L+2(x+y)<=108.
What is the greatest acceptable length for a package that has a square base measuring 9 inches by 9 inches?

Answers

answer

6 in. wide, 8 in. deep and 5 feet long.

Your friend swims on the school team.
In his first four races, his times are 24.7, 23.5, 25.6, and 27.2 seconds

Answers

You need a value less than 23.5 or greater than 27.2.

Given the time in his first four races is: 24.7 , 23.5 , 25.6 , 27.2 seconds.

To find the time for her race which would make a higher difference, we need to make use of range.

The range formula is frequently employed in statistics to ascertain the range provided in a specific data set. The formula finds the difference between the lowest and highest value, which aids in locating the set's center. In distribution, a wide range denotes increased variability while a narrow range denotes lower variability. The mean, median, and mode are among the additional statistical concepts included in the range formula.

The range is the difference between the highest and lowest value. In this case, the highest and the lowest numbers are 27.2 and 23.5 seconds.

To make a larger range, we simply need to pick a number smaller than 23.5 or larger than 27.2. This will produce a larger difference (or range).

Hence we acquired the desired result.

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Your question is incomplete. Please find the missing content here.

Your friend swims on the school team.

In his first four races, his times are 24.7, 23.5, 25.6, and 27.2 seconds. Which time listed for her next race would make the range larger?

The annual tuition at a specific college was $20,500 in 2000, and $45,4120
in 2018. Let x be the year since 2000, and y be the tuition. Write an
equation that can be used to find the tuition y for x years after 2000. Use
your equation to estimate the tuition at this college in 2020.

Answers

y = 20500 + 24090(x - 1) can be used to find the tuition y for x years after 2000. The tuition at this college in 2020 was $5,02,300.

We assume that the rate of increase in the cost of tuition fee per year is linear and hence the tuition fees of subsequent years will be in an Arithmetic Progression. The formula for determining the nth term of an arithmetic sequence which is expressed as-

Tn = a + (n - 1)d

Where

a = first term of the sequence.

d = common difference.

n = number of terms in the sequence.

According to the question,

a = $20500 (amount in 2000)

From 2000 to 2018, the number of terms is 19, hence,

n = 19

Thus, T19 = 454120

Therefore,

4,54,120 = 20500 + (19 - 1)d

454120 - 20500 = 18d

18d = 433620

d = 433620/18

d = 24,090

Therefore, the equation that can be used to find the tuition y for x years after 2000, is as follows-

y = 20500 + 24090(x - 1)

Now, the number of terms between 2000 and 2020 is 21, hence

x = 21

y = 20500 + 24090(21 - 1)

y = 20500 + 481800

y = $502300

Therefore, the tuition at this college in 2020 was $5,02,300.

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How many zeros will be in the product of 7 times 5,000? Without calculating the answer, explain how to use place value strategies to find the number of zeros in the product

Answers

The number of zeros in the product of 7 and 5,000 is 3.

The place value is defined as the value of each digit in a given number.

Here, we are given that 7 is multiplied by 5000

We can see that in 5000, the hundreds, tens and units digits are all zero.

Also, we know that 0 multiplied by any number gives us a zero only.

Thus, when we multiply 5000 and 7, each digit of 5000 will be multiplied by 7.

We can thus see that there will definitely be at least 3 zeroes in their product.

when we 7 is multiplied by 5, the unit digit will not be 0 as 7 is an odd number.

Thus, there are 3 zeroes in the product of 7 and 5000.

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1.
Tank A has a length, in feet, represented by 25x + 12 and a width, in feet, represented by 7x + 18. Write and simplify an expression used to determine the total amount of rubber stripping, in feet, needed for both rectangular tanks.

Answers

The value of the total amount of rubber stripping, in feet, needed for the rectangular tanks is 64x + 70.

How to calculate the perimeter?

It should be noted that the perimeter of a rectangle is given as:

= 2(Length + Width)

= 2(25x + 12) + 2(7x + 18)

= 50x + 24 + 14x + 46

= 64x + 70

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Nina wants to download games for her video game console. Older games cost 150 points and new releases cost 600 points. Nina has 6000 points to use. The equation 150a+600b=6000, where a is the number of older games and b is the number of new releases, models the situation. How many older games can she download if she downloads one new game? four new games?

Answers

Considering the definition of an equation and the way to solve it, Nina can download 36 older games and 24 older games if she downloads one and four new games respectively.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it and the equality is true. To solve an equation, keep in mind:

When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

This case

In this case, Nina wants to download games for her video game console.  Older games cost 150 points and new releases cost 600 points. Nina has 6000 points to use.

The equation 150a+600b=6000, where a is the number of older games and b is the number of new releases models the situation.

If Nina downloads one new game, that means that the value of the variable "b" is 1. Substituting in the equation that models the previously mentioned situation, and solving, you obtain:

150a+600×1=6000

150a + 600=6000

150a= 6000 - 600

150a= 5400

a= 5400÷150

a= 36

If Nina downloads four new game, that means that the value of the variable "b" is 4. Substituting in the equation that models the previously mentioned situation, and solving, you obtain:

150a+600×4=6000

150a + 2400=6000

150a= 6000 - 2400

150a= 3600

a= 3600÷150

a= 24

Finally, Nina can download 36 older games and 24 older games if she downloads one and four new games respectively.

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Rewrite without parentheses and simplify.
(u+6)²
Ú

Answers

Answer:

u² + 36 + 12u

Step-by-step explanation:

(u + 6)² =

u² + 36 + 12u

Answer:

[tex]u^2+12u+36[/tex]

Step-by-step explanation:

[tex]\begin{aligned}& \textsf{Given}: & & (u+6)^2 \\\\& \textsf{Expand the square}: & & (u+6)(u+6)\\\\& \textsf{Distribute}: & & u(u+6)+6(u+6)\\\\& \textsf{Distribute}: & & u^2+6u+6u+36\\\\& \textsf{Combine like terms}: \quad & &u^2+12u+36\end{aligned}[/tex]


Describe the transformation from the graph off to the graph of g. PLEASE HELP!

Answers

Answer: x=-3

Step-by-step explanation: Linear function of -3. This is because you subtract by 3 from f to g each time.

Ms. Francis is planning a birthday party for her daughter. There will be 22 children at the party, and in order to seat them all she needs to rent square card tables. Only 1 child can sit at each side of a card table.

Ms. Francis wants to arrange the tables in a rectangular shape so they look like one large table. The room is large enough that

the rectangle can be made with more than one row of tables.

Part A: How many different arrangements can Ms. Francis make to seat all 22 children?

Part B: What is the smallest number of tables that Ms. Francis needs to rent?

DIRECTIONS: To solve the problem, apply the steps of the Mathematical Problem-Solving Routine.

Understand

1. Try to visualize the situation. Consider drawing a diagram

2. State the problem in your own words.

3. What is the important information in the problem?

Plan

4. What strategy will you use to solve the problem? Why?

Predict an answer.​

Answers

Answers to both the subparts are:

(A) Ms. Francis would have to rent 6 tables in order for everyone to have their own side.(B) She could have all of the children sitting at their tables, each with their own side, but the sixth table would only have two other children.

What are mathematical operations?An operation is a function in mathematics that takes zero or more input values (also known as "operands" or "arguments") and produces a well-defined output value. The arity of the operation is determined by the number of operands.Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied. A constant is an operation of arity zero, also known as a nullary operation. The mixed product is an example of a 3rd order operation, also known as a ternary operation.

So, there will be 22 children at the party and each table will have 1 child sitting on each side.

This means that at 1 table there will be sitting 4 children.

(A) Ms Francis would have to rent 6 tables in order for everyone to have their own side.

Then,

4 × 6 = 24

(B) She could have all of the children sitting at their tables, each with their own side, but the sixth table would only have two other children.

Therefore, the answers to both the subparts are:

(A) Ms. Francis would have to rent 6 tables in order for everyone to have their own side.(B) She could have all of the children sitting at their tables, each with their own side, but the sixth table would only have two other children.

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A box turtle Marcos found is 0.115 of a meter long. What is this length in expanded form?

Answers

If a box turtle Marcos found is 0.115m long, then the length in expanded form is (0.1 + 0.01 + 0.005).

As per the question statement, a box turtle Marcos found is 0.115m long.

We are required to find out the expanded form of the length.

To solve this question, we need to know the procedure to convert a decimal into a fraction:

First, we will have to eliminate the decimal point and then, consider the digits in the same order as a complete number which will be our numerator. Secondly, we will use (10ⁿ) as our denominator where "n" is the number of digits on the right side of the decimal point in the original decimal number. Thus, 0.115 can be written as [tex]\frac{115}{1000}[/tex], since there are three digits after decimal point.

Now [tex]\frac{115}{1000}[/tex] can be written in the following manner as shown below.

[tex]\frac{115}{1000}=\frac{100+10+5}{1000}\\ or, \frac{115}{1000}=\frac{100}{1000}+\frac{10}{1000}+\frac{5}{1000}\\ or, \frac{115}{1000}=\frac{1}{10}+\frac{1}{100}+\frac{5}{1000}\\ or, \frac{115}{1000}=0.1+0.01+0.005[/tex]

Therefore, 0.115 can be written as (0.1 + 0.01 + 0.005) in its expanded form.

Expanded Form (of a number or decimal): This is a format of writing a number as a summation of its individual digits multiplied by their place values.

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Which of the following pairs consists of equivalent fractions?

Answers

Answer:

I think it's the last answer

The area of a triangular pendant on a necklace is 3/4 square inch. The height of the
triangle is 1 1/4 inches. What is the length of the base of the triangle?

Answers

The length of the base of the triangle is 1 1/5 inches

What are areas?

The area of a shape is the amount of space on the shape

How to determine the length of the base of the triangle?

The given parameters are

Area = 3/4 square inches

Height = 1 1/4 inches

The length of the base of the triangle is calculated as

Base = 2 * Area/Height

Substitute the known values in the above equation

This gives

Base = 2 * (3/4)/(1 1/4)

Evaluate

Base = 1 1/5

Hence, the length of the base of the triangle is 1 1/5 inches

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Assume that each circle shown below represents one unit. Express the shaded amount as a single fraction and as a mixed number.

Answers

Answer: One fraction: 5/4. Mixed Number:

Step-by-step explanation: One fraction: you need to count the number of green squares on the top, and on the bottom you need to count how many are you each square.

If you multiply two decimals that ares less then 1 can you predict whether the product will be less than or greater than either of the factors Explain.

Answers

greater than because it’s going in the negatives
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