The measure of angle mLNKL is 315 degrees.
We can see that angle JMK and angle LNK are vertical angles and therefore congruent. Also, angle JMK and angle NIK are corresponding angles and therefore congruent.
So we have:
mJMK = mNIK = 28 + 17 = 45
Also, we know that the sum of the angles in triangle JMK is 180 degrees. So, we have:
mJMK + mJM + mMK = 180
45 + (10x + 9) + mMK = 180
10x + mMK = 126
Similarly, we know that the sum of the angles in triangle NIK is 180 degrees. So, we have:
mNIK + mNKI + mNI = 180
45 + (16x + 19) + mNI = 180
16x + mNI = 116
Since angle LNK is supplementary to angles JMK and NIK, we have:
mLNK = 180 - mJMK - mNIK
mLNK = 180 - 45 - 45
mLNK = 90
Therefore, mLNKL is the sum of the angles MKL and NKL.
mMKL = 180 - mJMK
mMKL = 180 - 45
mMKL = 135
mNKL = mMKL + mJMK
mNKL = 135 + 45
mNKL = 180
Therefore, mLNKL = mMKL + mNKL = 135 + 180 = 315 degrees.
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This figure is made up of two rectangular prisms What is the volume of the figure? Enter your answer in the box
The volume of the figure with two rectangular prisms would be 1, 728 ft ³
.
How to find the volume ?To find the volume of the figure with the two rectangular prisms, you can find the volume of the individual rectangular prisms and then add them up.
Volume of rectangular prism 1:
= Length x Width x Height
= 19 x 12 x 6
= 1, 368 ft ³
Volume of rectangle prism 2:
= Length x Width x Height
= 10 x 12 x 3
= 360 ft ³
The volume of the entire figure is then :
= 1, 368 + 360
= 1, 728 ft ³
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HELP ASAP IF CORRECT BRAINEST :D EASY MATH
Answer:
x = 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
x=3 because if you subtract 1 its 4x=12 which is 3
the two the numbers -2.6 and -2.1 are shown on the number line what is the distance between the two points
Answer:
0.5Step-by-step explanation:
The distance between the points will be the difference between the points as shown;
Difference = -2.1 - (-2.6)
Difference = -2.1 + 2.6
Difference = 2.6 - 2.1
Difference = 0.5
Hence the difference between the numbers -2.6 and -2.1 on the number line is 0.5
what is the distance between -2 and 6?
Answer:
8units
Step-by-step explanation:
is 4 3/5 rational or irrational?
Answer:
It is rational
Answer:
4 and 3/5? It is irrational
Step-by-step explanation:
Its irrational because it is not a whole number, it includes a fraction, which is not a whole number.
geometry
Thought a given point draw four lines. How many angles are formed? Label and read all the angles.
Angles and lines come in many distinct varieties in geometry.
How many angles are there in lines and angles?Geometry has several different kinds of lines and angles. The six different types of angles include reflex angle, complete angle, straight angle, acute angle, and obtuse angle. The various sorts of lines are transverse, parallel, perpendicular, vertical, horizontal, and vertical lines.
There are three ways to name an angle: by the vertex, by the angle's three points (the middle point must be the vertex), or by a letter or number put inside the angle's aperture.
You can create your address block for letters, envelopes, and other mail merges using Label Lines, a collection of fields. Use Label Lines rather of Acknowledgement, Company, and Address lines to skip blank lines in your labels and address blocks.
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5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
Find the slope of this problem
Answer:
1/9 rise 1 run 9
Step-by-step explanation:
if you graph the y coordinate as 3 and find the x value, x value should be 0. Point (0,3) and (-9,2) and do rise over run
write three rations equivalent to 3/10
Answer:
6/20, 9/30, 12/40
Step-by-step explanation:
Original fraction: 3/10
How I got: 6/20
3 x 2 = 6
10 x 2 = 20
How I got: 9/30
3 x 3 = 9
10 x 3 = 30
How I got: 12/40
3 x 4 = 12
10 x 4 = 40
A researcher extracts information about hospital readmissions from a population of 6,000 client records. The researcher samples every 20th record from the population, beginning with record number 5. What type of sampling did the researcher use?
Answer: Systematic sampling
Step-by-step explanation:
Systematic sampling is a method when sample members from a population are selected based on a random starting point but in this case, there's a fixed, periodic interval.
It involves the selection of every kth case from the population given. Since the researcher extracts information about hospital readmissions from a population of 6,000 client records and samples every 20th record from the population, beginning with record number 5, then this is a systematic sampling.
Greenwood Company manufactures two products—15,000 units of Product Y and 7,000 units of Product Z. The company uses a plantwide overhead rate based on direct labor-hours. It is considering implementing an activity-based costing (ABC) system that allocates all of its manufacturing overhead to four cost pools. The following additional information is available for the company as a whole and for Products Y and Z:
Activity Cost Pool Activity Measure Estimated Overhead Cost Expected Activity
Machining Machine-hours $ 231,000 11,000 MHs
Machine setups Number of setups $ 180,000 300 setups
Production design Number of products $ 94,000 2 products
General factory Direct labor-hours $ 260,000 10,000 DLHs
Activity Measure Product Y Product Z
Machining 9,000 2,000
Number of setups 60 240
Number of products 1 1
Direct labor-hours 9,000 1,000
Product Y would be allocated 20% of the machine setups cost
Product Z would be allocated 80% of the machine setups cost
What is activity-based costing?
Activity-based costing is a costing method where overhead cost of production are allocated based on the cost driver responsible for the overhead rather than using the plantwide overhead rate based on direct labor-hours.
In this case, we need to first of all determine the machine setups cost per per setups, based on the fact there 300 setups for both products Y and Z
machine setup cost per setup=Machine setups cost/Number of setups
Machine setups cost=$180,000
Number of setups=300
machine setup cost per setup=$180,000/300
machine setup cost per setup=$600
Total set up cost for product Y=60*$600=$36000
Total set up cost for product Y as %=$36,000/$180,000=20%
Total set up cost for product Z=240*$600=$144,000
Total set up cost for product Z as %=$144,000/$180,000=80%
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Find the equation of a line parallel to y=x−1 that contains the point (−3,−2). Write the equation in slope-intercept form.
Answer:
y = x + 1
Step-by-step explanation:
Parallel lines have same slope.
y = x - 1
Compare with the equation of line in slope y-intercept form: y = mx +b
Here, m is the slope and b is the y-intercept.
m =1
Now, the equation is,
y = x + b
The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,
-2 = -3 + b
-2 + 3 = b
\(\boxed{b= 1}\)
Equation of line in slope-intercept form:
\(\boxed{\bf y = x + 1}\)
The equation is :
↬ y = x + 1Solution:
We KnowIf two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.
We shouldn't forget about a point on the line : (-3, -2).
I plug that into a point-slope which is :
\(\sf{y-y_1=m(x-x_1)}\)
Slope is 1 so
\(\sf{y-y_1=1(x-x_1)}\)
Simplify
\(\sf{y-y_1=x-x_1}\)
Now I plug in the other numbers.
-3 and -2 are x and y, respectively.
\(\sf{y-(-2)=x-(-3)}\)
Simplify
\(\sf{y+2=x+3}\)
We're almost there, the objective is to have an equation in y = mx + b form.
So now I subtract 2 from each side
\(\sf{y=x+1}\)
Hence, the equation is y = x + 1Can someone please help me with this problem?
Answer:
1/2 and 3/4
Step-by-step explanation:
First, let's look at the pattern of the fractions.
Each fraction is increasing by 1/4.
1/4 = 2/8
2/4 = 4/8
We know that 5/8 is in between 4/8 and 6/8 because 5 is in between 4 and 6.
Since we now know want fractions 5/8 is in between, all we have to do is convert.
4/8 = 2/4 (as is mentioned on the top)
6/8 = 3/4
Note: On the number line, 2/4 is referred to as 1/2...
Therefore, 5/8 is in between 1/2 and 3/4.
-kiniwih425
A roller coaster car is going over the top of a 13-mm-radius circular rise. At the top of the hill, the passengers "feel light," with an apparent weight only 50 %% of their true weight. How fast is the coaster moving?
Answer:
0.253 m/s
Step-by-step explanation:
radius r of the circular rise = 13 mm = 0.013 m
apparent weight loss = 50%
acceleration of the new weight = 0.5 x 9.81 = 4.905 m/s^2
centripetal acceleration = 9.81 - 4.905 = 4.905 m/s^2
centripetal acceleration = \(\frac{v^{2} }{r}\)
where v is the acceleration at the rise and r is the radius of the rise
centripetal force = \(\frac{v^{2} }{r}\) = \(\frac{v^{2} }{0.013}\)
4.905 = \(\frac{v^{2} }{0.013}\)
\(v^{2}\) = 0.063765
v = \(\sqrt{0.063765}\) = 0.253 m/s
The scatter plot shows the relationship between the number of coffee drinks sold and the total expenses of a coffee shop.
The slope of the line is....
The intercept of the line is.....
The regression equation is
For the linear function built from the scatter plot, it is found that:
The slope of the line is of: 5.The intercept of the line is of: b = 500.The equation is of: y = 5x + 500.What is a linear function?The slope-intercept representation of a linear function is the rule presented as follows:
y = mx + b
The coefficients of the function and their meaning are listed as follows:
m is the slope of the function, representing the change in the numeric value of the output variable y when the input variable x increases by one.b is the y-intercept of the function, which is the numeric value of the output variable y when the input variable x has a value of 0.From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:
b = 500.
When the input increases by 200, the output increases by 1000, hence the slope is:
m = 1000/2 = 5.
Thus the equation is:
y = 5x + 500.
Missing InformationThe graph is given by the image at the end of the answer.
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How to wright a related multiplication sentence for 1/4 divided by 5
1/4 / 5 is equal to 4x5, or 20.
---
hope it helps
A teacher asked her students how many pets they own. Here are the results:
0,0,0,1,1,1,1,2,2, 2, 3, 3, 4, 4,8
On a piece of paper, draw a dot plot to represent the data. Then determine
which answer choice matches the dot plot you drew.
The dot plot in option (C) matches the given data.
What is dot plot?Based on the values of each point, a dot plot visually groups the number of data points in a data set. Similar to a histogram or probability distribution function, this provides a visual representation of the data distribution.
Data points are represented as dots on a graph with an x- and y-axis in a data visualisation technique called a dot plot, often referred to as a strip plot or dot chart.
We have the data,
0,0,0,1,1,1,1,2,2, 2, 3, 3, 4, 4,8
We have four dot plot.
Dot plot A missing the data 3.
Dot plot B have only one 3.
Dot plot C have the same data.
∴ From the four options, the dot plot in option (C) matches the given data
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How will the product change if one number is increased by a factor of 12 and the other is decreased by a factor of 4
If one number is increased by a factor of 12 and the other is decreased by a factor of 4, the product of the two numbers will be multiplied by a factor of 3.
Let's suppose we have two numbers, A and B, and we want to know how their product will change if one number is increased by a factor of 12 and the other is decreased by a factor of 4.
The initial product of the two numbers is:
A x B
If we increase A by a factor of 12, the new value of A will be 12A. If we decrease B by a factor of 4, the new value of B will be B/4. Therefore, the new product of the two numbers will be:
(12A) x (B/4) = (12/4) x A x B = 3AB
So the new product of the two numbers will be three times the initial product. In other words, if one number is increased by a factor of 12 and the other is decreased by a factor of 4, the product of the two numbers will increase by a factor of 3.
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Question
Eli caught three fish. The weights of the fish were 2 lb 4 oz, 1 lb 11 oz, and 4 lb 14 oz,. What was the total weight of the
three fish?
Answer:
8 lbs. 13 oz.
Step-by-step explanation:
2 lb. 4 oz.
+ 1 lb. 11 oz.
4 lb. 14 oz.
__________
7 lbs. 29 oz.
Since there are 16 oz in one pound, subtract 16 from 29 to get 13 oz and don’t forget to add that pound to the 7, so your final answer should be 8 lbs. 13oz.
A student council president wants to learn about the preferred theme for the upcoming spring dance. Which of the following samples are representative of the population? Select all that apply.
A.
All students at her lunch table
B.
Every fifteenth student who enters the school in the morning
C.
All students on her bus
D.
Every ninth student from an alphabetical list of students
E.
All seventh graders
The population's taste for the spring dance theme could be reflected in options C and E. We must make sure that the samples represent a wide range of students and that the sampling strategy is objective.
Why of Cand E are correct?A subset of the population that accurately captures the traits of the entire population is known as a representative sample. We must take into account both the population's characteristics and the sampling technique in order to determine which samples best reflect the population's choice for the spring dance topic.
The pupils at her lunch table may not be a representative sample of the entire population, so this sample may not represent the population as a whole. They could have distinct tastes from other school children.
B. Every sixteenth kid who arrives at school in the morning - Since this sample only consists of students who arrive at school in the morning, it is not typical of the population.
D. Every student on her bus - If the bus route includes students from different grade levels and socioeconomic backgrounds, this sample might be representative of the population. Yet, if the bus route is restricted to a particular group, it might not be representative.
F. All seventh graders - If the seventh graders in the school are varied and share comparable interests with the general public, then this sample may be considered to be representative of the population.
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Select the correct answer.
Which equation has only one unique solution?
A. -4|x|+ 1 = -3
B. 9-|12x-1|=9
C. |x-2|-7= 7
D. |13-x|= 3
Answer:
9-|12x-1|=9
Step-by-step explanation:
Solve for x over the real numbers:
9 - abs(12 x - 1) = 9
Subtract 9 from both sides:
-abs(12 x - 1) = 0
Multiply both sides by -1:
abs(12 x - 1) = 0
Eliminate the absolute value:
12 x - 1 = 0
Add 1 to both sides:
12 x = 1
Divide both sides by 12:
Answer: x = 1/12
Answer:
Answer is B
Step-by-step explanation:
list five rational numbers between -1 and 0
Answer:
-1 ,-1/2 , -3/4 , -1 /4, -5 / 8 , -7 / 8 , -13 / 16, 0.
Step-by-step explanation:
Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?
y – 5 = y minus 5 equals StartFraction one-half EndFraction left-parenthesis x minus 1 right-parenthesis.(x –1)
y – y minus StartFraction one-half EndFraction equals 5 left-parenthesis x minus 1 right-parenthesis. = 5(x –1)
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
y – 1 = 5y minus 1 equals 5 left-parenthesis x minus StartFraction one-half EndFraction right-parenthesis.
Step-by-step explanation:
Slope 1/2 point 5,1
in point slope form would be
(y-1) = 1/2 (x-5)
Cómo se hace y cómo es el proceso ayuda porfaaaaa
Answer:
30: 100
31: -13
32: -45
33: 14
34: -32
35: -22
36: 17
Which pair of fractions in not equivalent fractions? Please answer it’s a test
Answer:
7/8 , 5/6
Explanation:
7/8 , 5/6 are the only fractions that are not equivalent fractions as when they are simplified they don't share the same fraction. Hope this helps.
What is the slope of the line that passes through the points (-2, 2), and (-4, -2)?
-1/2
2
-2
1/2
Answer:
The slope would be 2
Step-by-step explanation:
Please brainliest!
And hope this helped you!
I also answered first!
And tell me If I am wrong! :D
) 65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in
i. Swimming and cycling
Answer:
Step-by-step explanation:
i am working on the assumption that nobody does all three of them
i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.
the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.
so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4
Suppose that P (A)=0.4 AND P (B)=0.2, If events A & B ARE Mutually EXCLUSIVE :
- What is the probability of either A or B occurring
- What is the probability of neither A nor B will happen
Part (a) Finding the probability of either A or B
We are told that events A and B are mutually exclusive. This means they cannot happen at the same time. We can say P(A and B) = 0
Furthermore,
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.4 + 0.2 - 0
P(A or B) = 0.6
Answer: 0.6=======================================================
Part (b) Finding the probability of neither A nor B
P(A or B) + P(neither A nor B) = 1
P(neither A nor B) = 1 - P(A or B)
P(neither A nor B) = 1 - 0.6
P(neither A nor B) = 0.4
The reason why this works is to imagine throwing a dart at the Venn diagram. You'll either...
you land in A or B (pick one but not both), OR,you'll land outside both regions A and B.One or the other must happen. Both events cannot happen simultaneously.
Answer: 0.4-AY5Which statement best describes the function?O A. The function is positive when x < 0 and when x > 0.OB. The function is positive when x < 0.C. The function is always positive.O D. The function is positive when x > 0.
SOLUTION:
From the graph, the statement that best describes the function is "the function is positive when x > 0. This makes option D the correct option.
Rewrite in simplest terms: (9x+5)-(-2x+10)(9x+5)−(−2x+10) . Someone please help me
Answer:
18x^(2)-69x-55
Step-by-step explanation:
dont have the time to rn
Answer:
\({ \bf{(9x + 5) - ( - 2x + 10)(9x + 5) - ( - 2x + 10)}} \\ = { \tt{(9x + 5) - ( - {18x}^{2} + 80x + 50) - ( - 2x + 10)}} \\ = { \tt{(9 - 80 + 2)x + {18x}^{2} + 5 - 50 - 10 }} \\ = { \tt{ {18x}^{2} - 69x - 55}}\)