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
To know more about Angle sum property here.
https://brainly.com/question/4316040
#SPJ4
23. Triangle ABC with vertices A(-7, 1), B(-5, 6), and C(-1, 2): k = 2
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)
To solve more questions on triangles, visit the link below-
brainly.com/question/25950519
#SPJ1
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?
I will have to reject the offer of the rival company since it's lesser than $40560.
How to calculate the amountFrom 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.
Learn more about salary on:
brainly.com/question/25273589
#SPJ1
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?
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
Answer:
No Possible Triangle
Step-by-step explanation:
Sine cannot be greater than 1
No Possible Triangles
In triangle ABC, m∠A = 36°, m∠B = 84°, and m∠C = 60°. The side lengths, in order from greatest to least, are , , .
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.
To learn more about triangles, visit :
https://brainly.com/question/2773823
#SPJ1
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:.
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.
Learn more about probability here:
https://brainly.com/question/29313728
#SPJ4
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?.
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]
To learn more about Probability, refer to the link:
https://brainly.com/question/25870256
#SPJ4
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?.
Simplify:1/6x+42+2/5x-8/3x-19
Answer:
C; -21/10X + 23
Step-by-step explanation:
Combine like terms and simplify
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?.
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
To learn more about binomial distribution:
https://brainly.com/question/10741251
#SPJ4
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
if you can buy three loaves of bread for 5 dollars, how many loaves can you buy with 12 dollars?
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
Help fast pleaseee thank u
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%
Learn more about the relative frequency on
https://brainly.com/question/24231107
#SPJ1
61.92x5.50 what is it??????????brguquwdw
Answer:
Step-by-step explanation:
340.56
Answer:
61.92 x 5.50 = 340.56
PLEASE HELP
2. Given AKMN APRT, then answer the following questions. Show all work.
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.
Learn more about the congruence here:
https://brainly.com/question/7888063
#SPJ1
Use the order of operations to evaluate 14+13(10 − 1).
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
What is the next three terms in the sequence: -21, -17, -13, -9, -5,
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.
If the figures below are similar, find the ratio of the sides of Figure B to Figure A.
Identity the domain and the range of each function
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}
Learn more about domain and range here;
https://brainly.com/question/29396058
#SPJ1
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
Answer:
B) 350 pretzels=====================
GivenFunction P(x) = - 0.004x² + 2.8x - 100To findThe value of x, which makes the P(x) maximumSolutionThis 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 = 2.8Find the value of x:
x = - 2.8 / (2* (-0.004)) = 350Correct choice is B.
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.
Answer:
a.
b.
e.
I think I hope this helps
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?
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.
To learn more about averages:
https://brainly.com/question/24057012
#SPJ4
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
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)
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
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.
Learn more about the arrangements here:
https://brainly.com/question/28406752
#SPJ4
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
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.
To learn more about One way ANOVA test , refer:
https://brainly.com/question/24304095
#SPJ4
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
Answer:
13
Step-by-step explanation:
2y - 3;
y = 8;
---> 2*8 - 3 =
16 - 3 = 13
~Hi ❣️ -----------The black graph is the graph of y=f(x). Choose the equation for the red graph. First correct answer gets brainliest!
Answer:
ummm im going to guess c.
Step-by-step explanation:
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?
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.
To know more about fractions, visit
https://brainly.com/question/17220365
#SPJ1
Write equations for lines a, b, c, d, and e.
PLEASE HURRY! I'll give you brainiest pleaseee.
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.
To know more about Equation on:
https://brainly.com/question/187506
#SPJ1
Value of (64/25)^-1/2
final answer:
Hence, the simplest form of (64/25) -1/2 is 5/8
I don't know what I'm suppose to do.
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!
Someone please help also can someone tell if the second one is right
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).
learn more about functions here :
https://brainly.com/question/12431044
#SPJ1