write and solve a system of linear equations to find the values of $x$ and $y$ . a quadrilateral. the angles of the quadrilateral are 5x degrees, (4y minus 2 )degrees, (13x plus 10 )degrees, and 10y degrees.

Answers

Answer 1

As per the angle sum property of quadrilateral, then values of x is 245 and the value of y is 341

Angle sum property of quadrilateral:

The angle sum property states that the sum of all the angles of the quadrilateral is 360 degree.

Given,

The angles of the quadrilateral are 5x degrees, (4y minus 2 )degrees, (13x plus 10 )degrees, and 10y degrees.

Now we have to write and solve a system of linear equations to find the values of x and y.

While we looking into the given angles, then we get the values

=> 5x°

=> (4y - 2)°

=> (13x + 10)°

=> 10y°

We know that, the sum of all the angles of the quadrilateral is 360°.

So, it ca be written as,

=> 5x° + (4y - 2)° + (13x+ 10)° + 10y° = 360°

=> 18x° + 14y° - 8° = 360°

=> 18x° + 14y° = 354°

When we divide all of them by 2, then we get the equation as,

=> 9x° + 7y° = 177°

Now we have to rewrite the given equation as,

=> 9x° = 177° - 7y°

=> x° = (177° - 7y°)/9

Apply these value on the angles, then we get,

=> 13(177 - 7y)/9 = -10

=> 13(177 - 7y) = 90

=> -7y = -90 - 2301

=> 7y = 2391

=> 341

Then the value of x is

=> 245

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Related Questions

In triangle ABC, m∠A = 36°, m∠B = 84°, and m∠C = 60°. The side lengths, in order from greatest to least, are , , .

Answers

In the triangle ABC, the side lengths, in order from the greatest to the least, are : AC > AB > BC.

We are given a triangle. The vertices of the triangle are A, B, and C. The measures of the angles ∠A, ∠B, and ∠C are 36°, 84°, and 60°, respectively. We need to arrange the side lengths in order from the greatest to the least.

The side lengths are proportional to their opposing angles in a triangle. It means that the side opposite the largest angle is the largest side, and vice versa. The angles arranged in descending order are : 84° > 60° > 36°. The angles arranged in descending order according to the vertices are : B > C > A. The order of the lengths of the opposite sides must be the same.

Hence, the side lengths, in order from the greatest to the least, are : AC > AB > BC.

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A rival company offers you an annual salary of $36,000. Except for the pay, everything is identical between the companies. Do you accept or reject the rival company's offer, and why?

Answers

I will have to reject the offer of the rival company since it's lesser than $40560.

How to calculate the amount

From the information, the person works a basic week of 40 hours and the basic rate is $19.50 per hour. It should be noted that there are 52 weeks in a year. The total amount will be:

= 40 × 19.50 × 52

= $40560

The rival company offers you an annual salary is $36000.

I'll reject the rival company's offer since it's lower.

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Complete question

You work a basic week of 40 hours and your basic rate is $19.50 per hour. A rival company offers you an annual salary is $36.000. Except for the pay, everything is identical between the conpanies. Do you accept or reject the rival company's offer, and why?

if you can buy three loaves of bread for 5 dollars, how many loaves can you buy with 12 dollars?

Answers

Answer: 20 loaves

Step-by-step explanation:

3/5 = .6

12/.6 = 20

I’m not 100% sure but this is what I believe is the answer

20 Loaves

~Hi ❣️ -----------The black graph is the graph of y=f(x). Choose the equation for the red graph. First correct answer gets brainliest!

Answers

Answer:

ummm im going to guess c.

Step-by-step explanation:

there are 7 students on a team. if they must elect a president, a vice president, and a treasurer, how many different arrangements of candidates are possible

Answers

Different arrangements of candidates are possible is 210.

Given:

There are 7 students on a team. if they must elect a president, a vice president, and a treasurer.

Number of arrangements = [tex]7_p_{3}[/tex]

= 7!/(7-3)!

= 7!/4!

= 7*6*5*4! / 4!

= 7*6*5*1

= 42*5*1

= 42*5

= 210

Therefore Different arrangements of candidates are possible is 210.

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Simplify:1/6x+42+2/5x-8/3x-19

Answers

Answer:

C; -21/10X + 23

Step-by-step explanation:

Combine like terms and simplify

Write equations for lines a, b, c, d, and e.
PLEASE HURRY! I'll give you brainiest pleaseee.

Answers

The equations of lines are given below.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The equation for line a is,

x=-5.

The equation for line b is,

x=5.

The equation for line c is,

y=5.

The equation for line d is,

y=-2.

The equation for line e is

x+y=1

The equations of lines are given above.

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If the figures below are similar, find the ratio of the sides of Figure B to Figure A.

Answers

1:3 because the hypotenuse on A is 60 and on B is 20 so 6:2=3:1 but it asking for figure b to a and a is bigger so it’s going from 1:3

Value of (64/25)^-1/2

Answers

final answer:

Hence, the simplest form of (64/25) -1/2 is 5/8

9a-b-2a-10b simplify this expression
A. -7a+11b
B. 11a+9b
C. -11a-9b
D. 7a-11b
please solve with explanation Q^Q

Answers

Step-by-step explanation:

answer is D

if u like it mrk me as brainliest

Answer: d) 7a-11b

Step-by-step explanation:

First collect all like terms

9a - 2a - 10b - b

= 9a - 2a = 7a

= -10b - b = -11b

Therefore the answer is 7a - 11b (D)

Identity the domain and the range of each function

Answers

a) The domain of the function is {2,3,4,5,6},

The range of the function is {0,1,2,3,4}

b) The domain of the function is {-3,-1,1,3,4}

The range of the function is {1,3,-2,2,6}

Given,

Domain and Range;-

The domain of a function is the set of values that we are allowed to enter into our function. This collection represents the x values in a function like f. (x). A function's range is the set of possible values that it can accept. This collection contains the values that the function returns when we enter an x value.

Here,

a) Domain is the set of x values:

x={2,3,4,5,6}

The range is the set of y values:

y={0,1,2,3,4}

b) Domain is the set of x values:

x={-3,-1,1,3,4}

The range is the set of y values:

y={1,3,-2,2,6}

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23. Triangle ABC with vertices A(-7, 1), B(-5, 6), and C(-1, 2): k = 2​

Answers

The coordinates after scaling of triangle ABC will become -

A'(- 14, 2)

B'(-10, 12)

C'(-2, 4)

What is triangle?

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a triangle ABC with vertices A(-7, 1), B(-5, 6), and C(-1, 2) and

K = 2​

After scaling, the coordinates will become -

A(x, y) ⇒ A'(Kx, Ky)

The coordinates after scaling of triangle ABC will become -

A'(- 14, 2)

B'(-10, 12)

C'(-2, 4)

Therefore, the coordinates after scaling of triangle ABC will become -

A'(- 14, 2)

B'(-10, 12)

C'(-2, 4)

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Use the order of operations to evaluate 14+13(10 − 1).

Answers

Answer:

131

Step-by-step explanation:

14+13(10-1)

14+13(9)

14+117

131

Answer:

The solution is 131

Step-by-step explanation:

I think we must prioritize multiplication

14+13(10-1)

= 14+13(9)

= 14+117

= 131

61.92x5.50 what is it??????????brguquwdw

Answers

Answer:

Step-by-step explanation:

340.56

Answer:

61.92 x 5.50 = 340.56

In AMNO, o = 9.4 inches, n = 1.8 inches and ZN=39°. Find all possible values of 20,
to the nearest 10th of a degree

Answers

Answer:

No Possible Triangle

Step-by-step explanation:

Sine cannot be greater than 1

No Possible Triangles

Someone please help also can someone tell if the second one is right

Answers

a. g(x) is a function that is an output multiple of 3 of f(x), g(x) is {(1, 6), (3, 15), (5, 3)}.

b. g(x) is a vertical stretch as the output (y-axis) has been multiplied by a factor of 3.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, f(x) that is {(1, 2), (3, 5), (5, 1)}.

Now g(x) is a function that is an output multiple of 3 of f(x).

∴ g(x) is {(1, 2×3), (3, 5×3), (5, 1×3)}.

g(x) is {(1, 6), (3, 15), (5, 3)}.

g(x) is a vertical stretch as the output (y-axis) has been multiplied by a factor of 3 so it is stretched 3 times of the f(x).

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PLEASE HELP

2. Given AKMN APRT, then answer the following questions. Show all work.

Answers

a.

The congruence statement:

ΔNKM ≅ ΔTPR.

since given ΔKMN ≅ ΔPRT.

KM = PR

MN = RT

KN = TP.

b.

The side is congruent to TR is MN.

TR = MN.

c.

TR = MN

4x - 3 = 25

4x = 25 + 3

4x = 28

divide by 4 on both sides

4x/4 = 28/4

x = 7.

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Help fast pleaseee thank u

Answers

The relative frequency of all students surveyed who go to Cook Middle School and prefer Energy flow is 57%.

What is relative frequency?

This refers to how many times a particular type of occasion takes place within the total number of observations. This type of frequency uses percentages, fractions, and proportions.

Formula for calculating Relative Frequency:

Relative Frequency =         Count of event

                                   Total number of Observation

From the question:

No of students that like Gym Juice in Elim School =5

No of students that like Energy Flow in Elim School =10

Total Number of students in Elim School =15

No of students that like Gym Juice in Cook Middle School =15

No of students that like Energy Flow  in Cook Middle School =20

Total Number of students in  Cook Middle School  =35

Calculating The relative frequency of all students surveyed who go to Cook Middle School and prefer Energy flow:

Relative Frequency =         Count of event

                                   Total number of Observation

Relative Frequency =       20

                                          35

                                    =0.57 or 57%

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a car travels a distance of 60 miles at an average speed of 30 mph. how fast would the car have to travel for the same 60 mile distance home to average 60 mph over the entire trip?

Answers

It is impossible to travel for the same 60-mile distance home to average 60mph over the entire trip.

car travels a distance of 60 miles long and averages 30 miles per hour. As a result,

time = distance/speed = 60/30 = 2

the car traveled for 2 hours.

The car would have to travel for exactly 2 hours (120/60) to average 60 mph over 120 miles.

Because the car has already traveled for two hours, it is impossible for it to average 60 mph for the duration of the journey.

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I don't know what I'm suppose to do.

Answers

The equation of a line is y = mx +b

m = slope - which is equal to 1

x = x coordinate

b = y intercept (where the line hits the y axis)

y = y coordinate.

The point (2, 0) shows that when x = 2, y = 0. So we can plug that into the equation:

0 = 1(2) + b

0 = 2 + b

0 - 2 = 2 -2 +b

-2 = b

So the equation of the line is y = x - 2

I hope this helps!

What is the next three terms in the sequence: -21, -17, -13, -9, -5,

Answers

Answer:

-1, 3, 7

Step-by-step explanation:

this is adding 4 every time

hopes this helps please mark brainliest

Answer: -1, 3, 7

Explanation: The pattern in this sequence, is that you add 4 for every new number in the sequence. So -5+4 is -1. Then the next one would be -1+4 is 3. And then finally, the next one would be 3+4, which is 7.

Jerry's seed palace claims that 80% of its lima bean seeds will germinate. Suppose the company's claim is true. Callie buys a packet with 20 lima bean seeds from jerry's seed palace and plants them in her garden. What is the probability that exactly 14 seeds will germinate?.

Answers

The probability that exactly 14 seeds will germinate is 0.109

According to the company, 80% of lima bean seeds germinate.

Callie purchases 20 lima beans.

To determine: the likelihood that exactly 14 seeds will germinate.

We use the binomial distribution to obtain the required probability when we need to track the success and failure of multiple objects (multiple Bernoulli trials)

Let X be the random variable that tracks the number of seeds that germinate out of a total of 20 seeds. The success rate is 80%, or 0.8.

Thus X ~ B(20,0.8)

The probability of X = x is given by:

P(X=x) = 20[tex]C_{x}[/tex][tex](0.8)^{x}[/tex][tex](1-0.8)^{20-x}[/tex]

Thus

P(X=14) = 20[tex]C_{14}[/tex][tex](0.8)^{14}[/tex][tex](1-0.8)^{20-14}[/tex]

P(X=14) = 38760 × 0.04398 × 0.000064 = 0.109

The probability that exactly 14 seeds will germinate is 0.109

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Rosa's friend jake claims that he can read minds. To test jake's abilities, rosa chooses 333 different numbers from 111 to 101010. Rosa then asks jake to identify which 333 of the 101010 numbers she chose in the correct order. Assume that jake has no special abilities and is randomly guessing the numbers. What is the probability that jake correctly identifies all 333 numbers in the correct order?.

Answers

By using the concept of Probability, the result obtained is -

Probability of guessing the correct order = [tex]\frac{1}{720}[/tex]

What is Probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

There are 10 numbers from 1 to 10

Number of favourable outcomes = 10 [tex]\times[/tex] 9 [tex]\times[/tex] 8

                                                       = 720

There is only one correct order

So probability of guessing the correct order = [tex]\frac{1}{720}[/tex]

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Correct Question

To test Jake's abilities, Rosa chooses 3 different numbers

from 1 to 10. Rosa then asks Jake to identify which 3 of the 10 numbers she chose in the correct order.

Assume that Jake has no special abilities and is randomly guessing the numbers. What is the probability that Jake correctly identifies all 3 numbers in the correct order?.

PLS HELP

1) What is the value of x?5(4x+8)=85+5x

2) What is the value of x?x+3x+2x+3(x+1)=30

3)What is the value of x?
3/2-7/4= -9/8

Answers

hiya!

1) Expand to get 20x + 40 = 85 + 5x
Take 5x from both sides, gives 15x + 40 = 85
Take 40 from both sides, gives 15x = 45
Divide both sides by 15, gives x = 3

2) Group like terms to get 6x + 3(x + 1) = 30
Expand the brackets, gives 6x + 3x + 3 = 30
Group again gives 9x + 3 = 30
Take 3 from both sides, gives 9x = 27
Divide by 9 on both sides, gives x = 3

3) Is there supposed to be an x-term in this one?

how many t-shirts and shorts might dalton have bought? select all that apply.
a- 6 t-shirts and 6 pairs of shorts
b- 7 t-shirts and 5 pairs of shorts.
c- 2 t-shirts and 1 pair of shorts.
d- 2 t-shirts and 0 pairs of shorts.
e- 3 t-shirts and 2 pairs of shorts.

Answers

Answer:

a.

b.

e.

I think I hope this helps

Select the correct answer from each dropdown menu. Consider this expression. The simplest form of the expression has in the numerator and in the denominator?

Answers

The simplest form of the expression has 4 in the numerator and (x-2) in the denominator.

What are numerator and denominator?

The numerator indicates the total number of selected equal parts. Whereas, the denominator indicates the total number of equal parts.

       We have the expression

     3/(x-2) + (x-2) / (x²-4x+4)

Simplifying   x²- 4x +4  gives (x-2)².

Therefore, we can write the expression as

  3/(x-2) + (x-2)/(x-2)² = 3/(x-2) + 1/(x-2)  

          = 4/(x-2).

Therefore, the simplest form of the expression has 4 in the numerator and (x-2) in the denominator.

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a study was made on the effects of several health additives for a number of elite runners, the results of a one-way anova are presented in the following table. how many additives were in the study? source df sum of squares ms between 3 55.00 within 15 450.50 total 18 505.50

Answers

A total of 14 additives were included here in a study of the effects of various health additives on various top runners.

One-Way ANOVA Test :;Uses one-way analysis of variance (ANOVA) to determine whether there are statistically significant differences between the means of three or more independent (unrelated) groups.

Need of One way ANOVA :

When working with individuals, this situation can be encountered using two different types of study designs group. Then have each group perform a different task and measure the outcome/response to the same dependent variable. In the given problem, the term "Between" in the source table refers to processing. The term "within" refers to the error term. The inner term represents the variability that exists between runners. The total number of

additives is one more than his total number of

degrees of freedom (df). Total degrees of freedom for = N – 1. Total degrees of freedom = 18,so N= 19

Hence, total additives for given study is 19.

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Complete Question:

study was made on the effects of several health additives for a number of elite

runners. The results of a One-Way ANOVA are presented in the following table.

how many additives were in the study?

Source। Df Sum of Squares MS

Between 3 55.00

Within 15 450.00

Total 18 505.50

A. 18

B. 19

C. 7

D. 8

Evaluate Expressions
Nov 12, 10:01:46 AM
Watch help video
What is the value of the expression below when y = 8?
Answer:
2y - 3
Submit Answ

Answers

Answer:

13

Step-by-step explanation:

2y - 3;

y = 8;

 ---> 2*8 - 3 =

16 - 3 = 13

18) The profit that the vendor makes per day by selling x pretzels is given by the function
P(x) = -0.004x2 + 2.8x - 100. Find the number of pretzels that must be sold to maximize profit.
A) 390 pretzels
B) 350 pretzels
C) 700 pretzels
D) 1.4 pretzels

Answers

Answer:

B) 350 pretzels

=====================

Given

Function P(x) = - 0.004x² + 2.8x - 100

To find

The value of x, which makes the P(x) maximum

Solution

This is a quadratic function and it can get maximum at vertex.

The x-coordinate of the vertex is determined by x = - b/(2a).

We have:

a = - 0.004 and b = 2.8

Find the value of x:

x = - 2.8 / (2* (-0.004)) = 350

Correct choice is B.

Cora is playing a game that involves flipping three coins at once. Let the random variable hhh be the number of coins that land showing "heads". Here is the probability distribution for hhh:.

Answers

Cora is flipping three coins at once. The probability that the number of landed coins showing "heads" is less than 3 is 0.875

Probability is a measure how likely an event occurs. Probability of an event A is calculated as:

P(A) = number of ways A can occur / total possible outcomes

Let A and B be independent events, then the followings hold:

P (A and B) = P (A∩B) = P(A) + P(B)

P (A or B) = P (A∪B) = P(A) · P(B)

P (not A) = P(Ā) = 1 - P(A)

In the given problem, H is an event where the number of landed coins showing heads.

The probability distribution for H is:

P(H = 0) = 0.125

P(H = 1) = 0.375

P(H = 2) = 0.375

P(H = 3) = 0.125

The probability of three coins show heads less than 3 is:

P(H < 3) = 1 - P(H=3)

             = 1 - 0.125 = 0.875

It can also be obtained using:

P(H<3) = P(H=0) + P(H=1) + P(H=2)

           = 0.125 + 0.375 + 0.375

           = 0.875

Hence, the probability of three coins show heads less than 3 is 0.875.

Complete question:

Cora is playing a game that involves flipping three coins at once. Let the random variable H be the number of coins that land showing "heads". Here is the probability distribution for H:

P(H = 0) = 0.125, P(H = 1) = 0.375, P(H = 2) = 0.375, P(H = 3) = 0.125. What is the probability H is less than 3.

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Other Questions
hello! i really need help Rectangle WXYZ is shown. W Z Y If WY=12m +7 and XZ = 16m-43, what is the value of m? Enter the answer in the box in decimal form. Use "." for the decimal point. X m= 6.26 lab: toll calculations toll roads have different fees at different times of the day and on weekends. write a function calctoll() that has three arguments: the current hour of time (int), whether the time is morning (bool), and whether the day is a weekend (bool). the function returns the correct toll fee (double), based on the chart below. weekday tolls before 7:00 am ($1.15) 7:00 am to 9:59 am ($2.95) 10:00 am to 2:59 pm ($1.90) 3:00 pm to 7:59 pm ($3.95) starting 8:00 pm ($1.40) weekend tolls before 7:00 am ($1.05) 7:00 am to 7:59 pm ($2.15) starting 8:00 pm ($1.10) ex: the function calls below, with the given arguments, will return the following toll fees: calctoll(8, true, false) returns 2.95 calctoll(1, false, false) returns 1.90 calctoll(3, false, true) returns 2.15 calctoll(5, true, true) returns 1.05 actual material purchases amounted to 240,000 kilograms at $0.81 per kilogram. actual costs incurred in the production of 50,000 units were as follows: according to rules, regulatory oversight and regulation, hedge funds are allowed to short sell securities. this is in contrast to most mutual funds. group of answer choices when descartes reasons that it is conceivable that he could exist without his body and that whatever is conceivable is logically possible he is offering_____ . Which verb form correctly completes this sentence? Which verb from correctly completes this sentence? Ayer, Pamela ___________ un paisaje con acuarelas. A. pint B. pint C. pintaste D. pintaron GERMANSSSSS HELP PLS 1 AND 2 What principle do scientists use to determine the relative age of a rock unit by its particular fossil content?. in the short run, as output gets larger and larger: he preamble to the Declaration of Independence outlines the principles upon which the new government would be based. Which of these best describes one of those principles? 3. Write three occasions on which you see the national flag hoisted. What is the difference of meiosis and mitosis? A carbon footprint is a measure of the amount of carbon human activities, like using energy, release into the atmosphere. Which activity would help decrease the greatest carbon-releasing activity in us homes?. What are the coordinates of the image of vertex P? which fundamental element of a political unioin did the european union (eu) lack as a result of britain's decision to opt out of provisions such as the eu charter of fundamental rights, the schengen agreement, and the eurozone 13. A graduated cylinder has 20 ml (cm) of water placed init. An irregularly shaped rock is then dropped in thegraduated cylinder and the volume of the rock and waterin the cylinder now reads 30 ml (cm). The mass of therock dropped into the graduated cylinder is 23 grams.a.) Find the volume of the rock dropped into thegraduated cylinder.b.)Find the density of the rock dropped into thegraduated cylinder.Step 1: Write the EquationStep 2: Substitute with unitsStep 3: Solve with units to nearest 0.1 Triangle PQR with vertices P(-13,-3) Q(-7,3) R(-6,-2) 270 degrees counterclockwise rotation about C(-5,-4) Assume that the diameter d of a circle is a differentiable function of t, and let C be the circumference of the circle. Find an equation that relates dC/dt and dd/dt.A. C = dB. dC/dt = dC. dC/dt = (dd/dt)D. dC/dt = d (dd/dt) Please tell me answer ASAPAdam has notes of RS.100, RS.50 and RS.10. The ratio of these notes is 2 : 3:5 respectively and the total amount is RS.200,000. Find the number of notes of each kind.