LMNO is a parallelogram. If NM = x + 37 and OL = 5x + 9 find the value of x.

Answers

Answer 1

The value for the variable x in the parallelogram is equal to 7.

How to evaluate for the variable x in the parallelogram

The parallelogram LMNO have two pairs of parallel sides hence LO = MN and LM = ON.

We shall evaluate for variable x as follows:

5x + 9 = x + 37

5x - x = 37 - 9 {collect like terms}

4x = 28

x = 28/4 {divide through by 4}

x = 7

Therefore, the value for the variable x in the parallelogram is equal to 7.

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Answer 2

The value of the variable x is 7

How to determine the value

It is important to note that the opposite sides of a parallelogram are congruent or equal in length.

Then, for the parallelogram LMNO

NM is parallel to OL

Now, substitute the values, we get;

NM = OL

x + 37 = 5x + 9

collect like terms

x - 5x = 9 - 37

subtract the like terms

-4x = -28

Make 'x' the subject

x = 7

Hence, the value is 7

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Related Questions

You are given the three vectors X, Y, and Z. Vector
X=(3, 2), vector Y= {-4, 3), and vector Z= {7, -1}.
What is the magnitude of the resultant vector X-Z+Y?
F. -10
G.-8
H. 8
J. 10
K. 12

Answers

Answer:

J.10

Step-by-step explanation:

You just have to add the numbers:

3 + 2 + (-4) + 3 + 7 + (-1) = 10

hope u like it, bye

The United States produced 0.815 million bikes. The total world production that year totaled 126 million bikes. world's total production of bikes is contributed by The United States? Round your answer to the nearest tenth.​

Answers

The percent of the world's total production of bikes that is contributed by United States is 0.65%.

What does production mean?

Production refers to the process of combining different inputs, both material and immaterial, to produce output. Ideally, this output will be a valuable good or service that adds to people's utility.

Data

Number of bikes produced by US = 815,000 bikes.

Number of bikes produced by the world population = 126 million bikes.

The percent of the world's total production of bikes that is contributed by U.S will be:

= (0.815/126) × 100

= 0.00646825396 * 100

= 0.65%.

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Please help me with this question

Answers

Answer: it’s C. My dear <3

Step-by-step explanation: hope this helps (btw I’m just being nice so don’t ask)

Write an equation for the line that contains the points (4,-2) and (-2,0)

Answers

The linear equation that passes through the two given points is:

y = (-1/3)*x - 2/3

How to write the equation of the line with the two points?

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If a line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

Here we know that the line passes through (4, -2) and (-2, 0), then the slope is:

a = (0 + 2)/(-2 - 4)= 2/-6 = -1/3

y = (-1/3)*x + b

To find the value of b, we can replace the values of any of the points in the equation, if we use (-2, 0) we will get:

0 = (-1/3)*-2 + b

0 = 2/3 + b

-2/3 = b

The linear equation is y = (-1/3)*x - 2/3

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Pieto brought a wristwatch for $250 and sold it for $300. What is his percentage gain.​

Answers

Answer: 83%

Step-by-step explanation: Take 250 and divide it by 300

A washer and a dryer cost $993 combined. The washer costs $43 more than the dryer. What is the cost of the dryer?

Answers

Answer:425

Step-by-step explanation:

993-43=950

950/2=425

Answer:

$475

Step-by-step explanation:

Let's call the cost of the dryer x. That means the cost of the washer is x + $43. The combined cost of the two is $993, so we can write the equation:

x + (x + $43) = $993

Expanding the right side:

2x + $43 = $993

Subtracting $43 from both sides:

2x = $950

Dividing both sides by 2:

x = $475

So the cost of the dryer is $475.

Why ,do you think, do banks ànd other financial institutions offer cash loans to people that did not apply for it?​

Answers

Banks and other financial institutions may offer cash loans for reasons like revenue generation and marketing

How to determine the reason banks offer loans

Banks and other financial institutions may offer cash loans to people who did not apply for them for several reasons which include

Revenue generation: By offering unsolicited loans, financial institutions can generate revenue from interest charges and fees. Marketing: Offering unsolicited loans to people who did not apply for them can be a way for financial institutions to attract new customers or promote their loan products.

Other reasons include:

Risk management, Customer convenience, Mistakes/Errors

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mrs.musick splits her students into 2 equal groups. 2/3 of the first group have an A and 40% of second group have an A. what fraction of the class has a A

Answers

Hi there, here's your answer:

Given a class is divided into 2 equal groups, i.e. Group A has 1 : 2 of the students in the class and group B has 1 : 2 of the students in the class.

Also [tex]\frac{2}{3} rd[/tex] of group A have an A

While 40% of group B have an A

To find:
Fraction of the class that has A

Solution:

First, we find the % of students in group A who have an A:

Since [tex]\frac{2}{3} rd[/tex] of group A have an A,

[tex]\frac{2}{3}[/tex] × [tex]50[/tex]  (∵ 1 : 2 = 50 : 100)

[tex]= \frac{100}{3} = 33.33[/tex]   (i)

Therefore, % of students in group A who have an A = 33.33%

Now, we find the % of students in group B who have an A:

Since 40% of group B have an A:

[tex]\frac{40}{100}[/tex] × [tex]50[/tex] (∵ 1 : 2 = 50 : 100)

= 4 × 5 = 20   (ii)

Adding (i) and (ii), we get
33.33 + 20 = 53.33%

Thus, the fraction of the class that has an A = [tex]\frac{53.33}{100}[/tex]

Hope it helps! Please mark as Brainliest!

What is the slope of the line that passes through the points ( 6 , 7 ) (6,7) and ( 16 , 22 ) (16,22)? write your answer in simplest form.

Answers

Answer:

Step-by-step explanation:

The slope of a line is the change in y (the vertical axis) divided by the change in x (the horizontal axis).

Given the two points (6,7) and (16,22), we can calculate the slope as follows:

Change in y = 22 - 7 = 15

Change in x = 16 - 6 = 10

Therefore, the slope of the line passing through the two points is:

slope = change in y / change in x = 15 / 10 = 3/2

So the slope of the line is in its simplest form, 3/2.

Regenerate response

0.5(1.2)^x percentage

Answers

Answer:

20%

Step-by-step explanation:

1 + r = 1.2 = 1 + 0.2 = 1 + 20%

r = 20%

The percent growth is 20%.

Find x round to the nearest whole number helpppp

Answers

Answer:

Below

Step-by-step explanation:

Instead of x , I assume you want the angle.    

  For RIGHT triangles, remember

cos (angle ) = adjacent leg / hypotenuse

cos ( angle ) = 5 /12    

     angle = arccos( 5/12) = 65 °

You could also use pythagorean theorem to calculate the misssing side....then use cos law to calculate the angle.

The average rate of change of a function f(x) = x2 between x = 4 and x = 6 is average rate of change = 6 − 4 = .

Answers

On solving the provided question, we can say that The pace at which the y-values change relative to the x-values is the average rate of change for a function, average rate = m = 81-9/6 = 72/6 = 12

What is function?

Mathematics is the study of quantities and their variations, equations and related structures, shapes and their locations, and the locations where they can be found. The term "function" refers to the relationship between a set of inputs, each with its own output. A function is a connection between inputs and outputs in which each input leads to a single, distinct result. Each function is assigned a domain and a codomain, also known as a scope. f is commonly used to denote functions (x). The input is an x. Based on the following factors, there are four main types of functions available: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

f(x) =

x1, x2 = 3,9

average rate = f(x2) - f(x1) / 6

average rate = m = 81-9/6 = 72/6 = 12

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Need help really please

Answers

Answer:

Step-by-step explanation:

No pressure. You just need to look for the number that when added to the other given number, will give the same as the sum on the other side.

For instance, The top-left question:

4+6 = x+8  (let x be the box)

x= 4+6-8

x=2.

OR, since 4 + 6 =10,

you look for a number when added to 8, that gives 10.

That number is 2.

Hope this helps :]

Solve the following equation for y. 22x+2y=-14

Answers

Step-by-step explanation:

22x + 2y = -14

2y = -22x - 14

y = -11x - 7

Solving linear equations by substitution y=5x-7 -3y-2y=-12

Answers

By using the substitution method, the value of x is equal to -1.94 and the value of y is 2.71.

How to solve this system of linear equations?

In order to solve the given system of linear equations, we would apply the substitution method. From the information provided in the question above, we have the following system of linear equations:

y = 5x - 7      .......equation 1.

3y - 2x = -12          .......equation 2.

By using the substitution method to substitute equation 1 into equation 2, we have the following:

-3(5x - 7) - 2x = -12

-15x + 21 - 2x = -12

-17x = -12 - 21

17x = -33

x = -33/17 or -1.94

For the value of y, we have:

y = 5(-33/17) - 7

y = -165/17 - 7

y = 2.71

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In △ABC', BD is the perpendicular bisector of ADC . Based upon this information, which statements below can be proven? I.BD is a median. II. BD bisects ABC III. △ABC is isosceles.
(1) I and II, only
(3) II and III, only
(2) I and III. only (4) L I and II

Answers

Based upon this information, (2) I and III only statements can be proven.

From the given information, we can prove that statement II is true, i.e., BD bisects ABC.

Proof:

Since BD is the perpendicular bisector of ADC, we have AD = CD and ∠ADB = ∠CDB = 90°. Thus, triangles ABD and CBD are congruent (by the hypotenuse-leg congruence criterion), which implies AB = BC and ∠ABD = ∠CBD. Therefore, BD bisects ∠ABC.

However, we cannot prove that statements I or III are true based solely on the given information.

Statement I (BD is a median) would be true if we had additional information that AD = DB = DC, but this is not necessarily true based on the given information.

Statement III (△ABC is isosceles) would be true if we had additional information that AB = BC, but this is not necessarily true based on the given information. In fact, it is only guaranteed that AB = BC if AD = BD = DC, which is not necessarily the case.

Therefore, the correct answer is (2) I and III, only.

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mz1 = (2x +29)° and mz2 = (5x+20)°. If 21 and
22 are vertical angles, what are mz1 and mz2?

Answers

Answer:

Step-by-step explanation:

m∠2 = 90° - 56° = 34°. So, m∠1 = m∠2 = 34°

here the answers

ill give brainliest to whoever can answer

Robert uses f(x) = 1000(1.06)^x to calculate the interest he earns each year for his savings account. What is the yearly interest rate as a percent?

Answers

Steps

0.06(100)


Solution

He earns about 6% yearly

An online furniture store sells chairs for $150 each and tables for $350 each. Every day, the store can ship no more than 22 pieces of furniture and must sell at least $4800 worth of chairs and tables. If
x
x represents the number of tables sold and
y
y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer: x+y=22; 150x+350y=4800

Step-by-step explanation:

The temperature in a certain location was recorded each day for two months. The mean temperature was 28.8°F with a standard deviation 7.4°F. What can you determine about these data by using Chebyshev's Inequality with =K3?

Answers

Using Chebyshev's Theorem, it is found that at least 89% of days have a high temperature between 6.6ºF and 51ºF.

What does Chebyshev’s Theorem state?

When the distribution is not normal, Chebyshev's Theorem is used. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.At least 89% of the measures are within 3 standard deviations of the mean.An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100\left(1 - \frac{1}{k^{2}}\right)[/tex].

Considering k = 3, the percentage is of at least 89% and the bounds are given as follows:

28.8 - 3 x 7.4 = 6.6ºF.28.8 + 3 x 7.4 = 51ºF.

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Leila is walking from the park at point P to a restaurant at point R. She wants to stop for a break when the distance she has travelled and the distance she has left to travel has a ratio of 3:5, at which point should Leila stop for her break?

Answers

Answer: To determine the point where Leila should stop for her break, we need to find the midpoint of the line segment connecting points P and R, since the midpoint will represent equal distances from both points.

Let the distance between points P and R be d, and let's call the point where Leila stops for her break point B.

Since the ratio of the distance travelled to the distance remaining is 3:5, we know that the distance from B to P is 3/8 of the total distance d, and the distance from B to R is 5/8 of the total distance d.

Therefore, point B is the midpoint of line segment PR, and can be found by dividing the distance between P and R by 2.

Step-by-step explanation:

I jsut need some answers thank you mwa

Answers

Answer is 34 ft

Step by step

We can find the diagonal of the right triangles using Pythagorean theorem a^2 + b^2 = c^2

We know the base is 15 less 9 = 6, divided by 2 triangle bases = 3 for each base and height is 4

3^2 + 4^2 = c^2
9 + 16 = c^2

25 = c^2

√25 = c^2

c = 5

Since the right triangle diagonals are equal they are both 5 ft

Now we can add the 4 sides together to get the perimeter

15 + 9 + 5 + 5 = 34 ft

PLease help question below

Answers

The statement that is true about the graphs is Graph A is a linear function because it has a constant rate of change

What is a graph?

A graph is a pictorial representation of a function.

How to find which statemnt is true?

Given the graphs A and B, to determine which statement is true, we need to find the characteristics of each graph.

Characteristics of graph AGraph A is a linear graphGraph A has a constant rate of changeGraph A has only one x interceptGraph A has only one y - intercept

Characteristics of graph BGraph B is not a linear graphGraph B does not have a constant rate of changeGraph B has multiple x interceptsGraph B has only one y - intercept

Comparing all the statements with the given characteristics of both graphs, we see that the statement that is true is Graph A is a linear function because it has a constant rate of change

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What’s the correct answer answer asap for brainlist NOW

Answers

C. "He observes, 'the older, wiser, and better people...proved to be in error...' (Saki 1)" is the passage that is explaining the data (the citation) that was used.

What do you mean by Passage?

A passage is a piece of written or spoken text that is typically a part of a larger work or composition, such as a book, article, speech, or poem. Passages can be of varying lengths, ranging from a few sentences to several pages or more, and can be written in different styles and genres. They are usually composed to convey information, express ideas or opinions, tell a story, or evoke emotions in the reader or listener. Passages can be analyzed and interpreted for their literary or rhetorical devices, such as metaphors, similes, allusions, and rhetorical appeals. In academic settings, students are often asked to read and analyze passages as a part of their coursework.

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Tamaya borrowed $8,500 to buy a car. After 42 months, she ended up paying $1,785 in interest on the car loan. What was the simple interest rate on Tamaya’s car loan?

Answers

Answer:

5%

Step-by-step explanation:

We can use the formula for simple interest to solve for the interest rate:

I = Prt

where:

I is the interest

P is the principal (the amount borrowed)

r is the interest rate

t is the time in years

We know the principal (P) is $8,500, the interest (I) is $1,785, and the time (t) is 42 months, or 42/12 = 3.5 years. So, we can plug in the values and solve for r:

I = Prt

$1,785 = $8,500 * r * 3.5

$1,785 / $8,500 / 3.5 = r

r = 0.05, or 5%

So, the simple interest rate on Tamaya's car loan was 5%.

x/q = -5
solve the equation

Answers

Answer:

It could be [tex]x=25[/tex] and [tex]q = -5[/tex] or it could be [tex]x=-25[/tex] and [tex]q = 5[/tex]. As both x and q are variables, either of these could be correct.

Hassan finds the product of two multiples of 10 the answer is 6000 list 5 different calculations Hassan could write

Answers

The two ways of writing the number 6000 will be 10 x 600 and 100 x 60.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Multiplication is the process of determining the product of two or more numbers in mathematics.

Given that Hassan discovers that the result of two multiples of 10 is 6000.

The two ways can be calculated as:-

10 x 600 = 6000

100 x 60 = 6000

Hence, the two ways are 10 x 600 = 6000 and 100 x 60 = 6000.

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Piecewise linear relations

Answers

The required piecewise linear relations are f(x) = 4 if [0, 2), and f(x) = -2x + 8 if [2, 4).

What is a piecewise function?

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = 2x + 4 if [-2, 0]

This the sub-function define between the interval [-2, 0].

f(x) = 4 if [0, 2)

This the sub-function define between the interval [0, 2).

f(x) = -2x + 8 if [2, 4)

This the sub-function define between the interval [2, 4).

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If 3250 was increased by 46%

Answers

Answer:

4745

Step-by-step explanation:

Answer: 4745

Step-by-step explanation:

3250 = 100%

Percent Increase = +46%

46% of 3250 = 1495

3250 (100%) + 1495 (46%) = 4745

In a certain college, 4 instructors are single out of 24 instructors employed. What is the ratio of single to married instructors?
A. 1 to 6
B. 1 to 5
C. 24 to 4
D. 20 to 24

Answers

Answer:

(B) "1 to 5."

Step-by-step explanation:

The ratio of single to married instructors is 1 to 5. Since 4 instructors are single out of 24 total instructors, the ratio of single instructors to married instructors is 4 to (24 - 4) = 4 to 20. Simplifying the ratio to its simplest form, we get 4:20 = 1:5, which is the answer choice (B) "1 to 5."

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Astronomers believe that the radius of a variable star increases and decreases with the brightness of the star. Suppose a variable star has an average radius of 20 million miles and changes by a maximum of 1.6 million miles from this average during a single pulsation, and that the time between periods of maximum brightness is 5.2 days. Find an equation that describes the radius of this star as a function of time. (Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing.) R(t) = What are the components of the hydrologic cycle?How is water transferred from each component to another? The classical dichotomy is the separation of real and nominal variables. The following questions test your understanding of this distinction.Hannah divides all of her income between spending on paperbacks and lattes. In 2012, she earned an hourly wage of $28.00, the price of a paperback was $7.00, and the price of a latte was $4.00.#1 Which of the following gives the real value of a variable? Check all that apply.- The price of a paperback is 1.75 lattes in 2012.- The price of a paperback is $7.00 in 2012.- Hannah's wage is 7 lattes per hour in 2012.#2 Which of the following give the nominal value of a variable? Check all that apply.- The price of a latte is $4.00 in 2012.- The price of a latte is 0.57 paperbacks in 2012.- Hannah's wage is $28.00 per hour in 2012.Suppose that the Fed sharply increased the money supply between 2012 and 2017. In 2017, Hannah's wage rose to $56.00 per hour. The price of a paperback is $14.00, and the price of a latte is $8.00.#3 In 2017, the relative price of a paperback was ___________. Options: .57 lattes, 1.75 lattes, $8 or $14.00#4 and #5 Between 2012 and 2017, the nominal value of Hannah's wage____________, and the real value of her wage________________. 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Choose the best explanation as to why both consumers and producers perform cellular respiration.Although they may obtain their sugars in different ways, both consumers andproducers rely on cellular respiration to make ATP. Which of these was used by the Aztecs to build a powerful and wealthy empire? each of two persons tosses three gair coincs. what is the probability that they obtain the same numbre of heads Miguel was selling apples, plums, and peaches at the local farmers marker. He sold 18 more pounds of apples than pounds of plums. He sold 9 pounds less of peaches than pounds of plums. He sold a total of 69 pounds of fruit. How many pounds of each fruit did he sell? The woman created a home for herself on this new Earth, and soon her daughter was born. The woman and her daughter lived off the plants and roots and continued to walk the path of the Sun to keep the Earth growing. The girl grew up on this Earth, never knowing about the Sky-World above and never seeing another being like herself.One day, when the girl had become a woman, a man appeared. No one knows where this man came from. Perhaps he was sent from the gods above. The girl was so filled with wonder to see this strange man that she lost her senses and fainted. The man yielded two very different arrows and laid them in opposite directions across the body of the girl. Then he disappeared.When the girl awoke, she knew that she would bear twins. Even before they were born, there was contention between the twins. There was no peace between these two brothers. When it was time for them to be born, the right-handed twin wanted to be born in the normal way. The left-handed twin saw light in the other direction and was determined to be born through his mothers mouth or nose. In his attempt to be born in the opposite direction, he killed his mother.The right-handed twin accused his brother of murdering their mother, and their quarrels continued until it was time to bury their mother. With the help of their grandmother, they made her a grave. From her head grew the three sister plants: corn, beans, and squash. From her heart grew tobacco, which people still use to give thanks in ceremony. She is called our mother and the people dance and sing to her to make the plants grow.The conflict between the twins continued, and for some reason their grandmother favored the left-handed twin. The right-handed twin became angry and resentful. He was the truthful twin who always did the right thing. The left-handed twin was deceitful and did everything backward. You could never trust him.The twins represent the two ways of the world which are in all people. The Indians do not call these good and evil. They call them the straight mind and the crooked mind, the righteous man and the devious man, the right and the left.How are the twins different from each other?The right-handed twin is tricky; the left-handed twin is clever.The right-handed twin does right; the left-handed twin does wrong.The right-handed twin is wicked; the left-handed twin is trustworthy.The right-handed twin is like his mother; the left-handed twin is like his father. Solve for x. Round to the nearest tenth.x5412 4x - 3 = 17-2x - 7y = 11