i need help with rhombi

I Need Help With Rhombi

Answers

Answer 1

The unknown sides of the figure are

< KNL = 89.85 degrees

< KJL = 50 degrees

< JKM = 40 degrees

< JML = 80 degrees

How to find the unknown sides

A rhombus has it's interior angles equal to 360 degrees and the opposites and angels are equal

hence angle MLK = MJK = 100 degrees

< JML = < JKL = say x

2x + 2(100) = 360

2x = 360 - 200

2x = 160

x = 80

< MJL + < KJL = MJK adjacent angles

50 + < KJL = 100

< KJL = 50 degrees

The sides of a rhombus are equal

JM = KL =  15.6

ML = JK = 15.6

Given that NK = 12 and NL = 10, using cosine rule we solve for < KNL

cos < KNL = (15.6² - 12² - 10²) / -2 * 12 * 10

cos < KNL = 1/375

< KNL = arc cos (1/375)

< KNL = 89.85

< JKM + < JKL +  <JNK = 180 sum of angles on a triangle

<JNK = 180 - 89.85 = 90.15

< JKM + 50 + 90.15 = 180

< JKM = 180 - 50 - 90.15

< JKM = 39.85 approximately 40

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Related Questions

What is the name of the following image?



a

Ray TS
b

Line Segment TS
c

Line ST
d

Ray ST

Answers

Answer:

ray ts

Step-by-step explanation:

What is 16% of 175 I need help

Answers

The answer= 28


16/100= 0.16
175•0.16= 28

Answer: 28

Step-by-step explanation:

16% = 0.16

Percents are just decimals!

Now you can put this in your calculator, and you will get 28.

However:

It might help you later to know that x% of y = y% of x

In other words, 16% of 175 is the same thing as 175% of 16

This problem is easier, since we can break 175% into 1 and 3/4th. 3/4th of 16 is easy to calculate, (its 12), and so we can add 12 to 16 to find the answer, which is still 28 :)

No calculator needed!

if each coded item in a catalog begins with 4 distinct letters followed by 4 distinct nonzero digits, find the probability of randomly selecting one of these coded items with the first letter a vowel and the last digit even.

Answers

The probability of randomly selecting one of these coded items with the first letter a vowel and the last digit even is 5/52

probability is an occurence of a particular events. This particular problem can be solved using permutations and combinations.

Given that, if each coded item in a catalog begins with 4 distinct letters followed by 4 distinct nonzero digits

Like the 4 distinct letters be A,B,C,D

4 distinct nonzero digits are 2,3,4,5

The probability of randomly selecting one of these coded items with the first letter a vowel and the last digit even is approximately equals to the 10/104 = 5/52

Here the probability is an occurence of a particular events. This particular problem can be solved using permutations and combinations and the probability of randomly selecting one of these coded items with the first letter a vowel and the last digit even is approximately equals to 5/52

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how many decimeters are in 3.6 millimeters​

Answers

Final Answer:

There are 0.036 decimeters in 3.6 millimeters.

Explanation:
To convert from millimeters to decimeters, we can use the following measurement conversion:

1 millimeter = 0.01 decimeters

So, to find out how many decimeters are in 3.6 millimeters, we can multiply 3.6 by 0.01:

3.6 * 0.01 = 0.036

Therefore, there are 0.036 decimeters in 3.6 millimeters.

What is the source of this graph?

Answers

Answer:

to help navigate the answer

U={ positive integer between 9 and 21} P={odd numbers} Given that P and Q are subsets of U a. List all the members of P, Q and U b. Illustrate the information on a Venn diagram c. Find P1 and Q1​

Answers

The set of the numbers are all integers from 9 to 21 inclusive

What is a set?

It is the collection of items to form a group

All  the members of:

P={odd numbers}

P={9,11,13,15,17,19,21}

Q={Even numbers}

Q= {10,12,14,16,18,20}

U={ positive integer between 9 and 21}

This means that U = {9,10,11,12,13,14,15,16,17,18,19,20,21}

Therefore,  P1 and Q1​

P prime include all the elements in the universal set that are not in the subset P  = {10,12,14,16,18,20}

and Q prime include all the elements in the universal set that are not in subset Q =  P={9,11,13,15,17,19,21}

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You and your brother go to the same store to buy fruit. You purchase a large watermelon for $7.71 and 2.4 pounds of red grapes. Your brother buys a platter of pre-cut fruit for $9.95 and 1.6 pounds of red grapes. The two of you spend the same amount of money. How much do the grapes cost per pound

Answers

The cost of red grapes per pound is $2.8.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, cost of a large watermelon and 2.4 pounds of red grapes is $7.71.

Let the cost of red grapes be x.

So, the total cost = 7.71+2.4x

Cost of a platter of pre-cut fruit and 1.6 pounds of red grapes is $9.95.

The total cost = 9.95+1.6x

Person and his brother spent same amount of money.

So, 7.71+2.4x=9.95+1.6x

2.4x-1.6x=9.95-7.71

0.8x=2.24

x=2.24/0.8

x=$2.8

Therefore, the grapes cost per pound is $2.8.

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Select all the measures of variability that can be used to compare two data sets.
A. Mean
B. Interquartile Range
C. Median
D. Mode
E. Range

Answers

Range, interquartile range, standard deviation, and variance are four measures of variability that can be used to compare two data sets.

Variability is most generally measured proving the following descriptive data:

area:

Difference between highest and lowest values.

Range is the straightforward allowance to calculate variability. To asset the area, follow these steps:

Sort all the values ​​in the dataset from lowest to highest.

Subtract the lowest value from the highest value. Interquartile range:

area of ​​the middle half of the distribution

standard deviation:

mean distance from mean

Standard deviation is a useful measure of the variance of a normal distribution.

A normal distribution distributes data symmetrically without skew. Most of the values ​​are clustered around the central region, with values ​​tapering away from the center. Standard deviation indicates how far the data are, on average, from the center of the distribution.

deviation:

mean squared distance from mean 

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assume that there are 60 students in a class and they will be seated in a classroom where there are 62 seats. in how many different ways this can be done?

Answers

There are 4,431,621,036,503,680 different ways to seat the 60 students in 62 seats.

If there are 60 students and 62 seats, then there will be 2 empty seats in the classroom. We need to find out the number of ways to seat the 60 students in these 62 seats.

To solve this problem, we can use the permutation formula:

nPr = n! / (n - r)!

where n is the total number of objects and r is the number of objects we want to arrange.

In this case, we want to arrange 60 students in 62 seats, so we can use the formula as follows:

62P60 = 62! / (62 - 60)!

= 62! / 2!

= 62 x 61 x 60 x ... x 3 x 2 x 1

= 4,431,621,036,503,680

Therefore, there are 4,431,621,036,503,680 different ways to seat the 60 students in 62 seats.

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Use proportions to determine 23% of what number is 81.3. Round to the nearest hundredth.

Answers

18.7
23% of 81.3 is 18.699 rounded to the nearest hundredth is 18.7

Determine the value of the missing angle using the inverse trig function.

Answers

Answer:

x = 59.036°

Step-by-step explanation:

tan (BÂC) = BC/AB

tan= opposite/ adjacent

Then subs AB = 3 BC= 5 BÂC= x into tan (BÂC) = BC/AB

tan(x)=5/3

x= tan^-1 (5/3)

x= 59.036°

five times a number is 120

Answers

5x=120
120/5=x
X=24
Hope this helps!

if a researcher wishes to examine the extent to which the data measure what they are supposed to measure, the researcher is interested in

Answers

The appropriate option to fill the blanks would be: a. validity. and b. reliability.

Both validity and reliability are important concepts in research that determine the quality of data and measurement. Validity refers to the accuracy and truthfulness of a measurement, while reliability refers to the consistency and stability of a measurement. The researcher would be interested in both to ensure that the data measure what they are supposed to measure accurately and consistently. In research, both reliability and validity are important concepts. Reliability refers to the consistency and stability of a measurement, while validity refers to the accuracy and truthfulness of a measurement. So, if a researcher wishes to examine the extent to which the data measure what they are supposed to measure, the researcher would be interested in both reliability and validity of the data.

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Complete Question

If a researcher wishes to examine the extent to which the data measure what they are supposed to measure, the researcher is interested in _________

a. validity.

b. reliability.

c. confirmability.

d. credibility.

Determine the correct answer using pi = 3.14 and rounding to the
nearest thousandth if necessary.
Find the surface area of a pyramid with a height of 9.8 meters,
slant height of 10.34 meters, and a square base with a width of
6.7 meters.

Answers

To find the surface area of a pyramid, we need to calculate the area of the base and the area of the lateral faces.

Base area:
The base of the pyramid is a square, so we can use the formula for the area of a square to find the base area.
Area of square base = width^2 = 6.7^2 = 45.29 sq m
Lateral area:
To find the lateral area, we need to find the slant height of the pyramid. We can use the Pythagorean theorem to find the slant height given the height and the base diagonal.
a^2 + b^2 = c^2, where c is the slant height, a is the height of the pyramid (9.8 m), and b is half the base width (6.7/2 = 3.35 m)

c^2 = a^2 + b^2 = 9.8^2 + 3.35^2 = 96.04 + 11.25 = 107.29
c = √107.29 = 10.34 m

Now that we have the slant height, we can use the formula for the lateral area of a pyramid to find the lateral area:
Lateral area = 1/2 * perimeter * slant height
Perimeter of base = 4 * width = 4 * 6.7 = 26.8 m
Lateral area = 1/2 * 26.8 * 10.34 = 138.532 sq m

Total surface area:
The total surface area of the pyramid is the sum of the base area and the lateral area:
Surface area = base area + lateral area = 45.29 + 138.532 = 183.822 sq m
So the surface area of the pyramid is approximately 183.82 sq m to the nearest thousandth.

it would be 180 - 136 right?

Answers

Answer:

It would be 180 - 136 = 44

Step-by-step explanation:

Answer:

yes you are correct

Step-by-step explanation:

180-136=44

suppose there are three cards, a, b, and c. two of them will be drawn one by one with replacements. what is the probability of getting (a, b), i.e. the first card is a and the second card is b?

Answers

the probability of getting (a, b), i.e. the first card is a and the second card is b is 2/3 by conditional probability.

The potential of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability. It is computed by dividing the likelihood of the earlier occurrence by the likelihood of the subsequent, or conditional, event.

This is where the independent event and dependent event notion is used. Consider a student who misses class twice each week, omitting Sunday. What are the possibilities that he will take a leave of absence on Saturday of the same week if it is known that he will be absent from school on Tuesday? It has been noted that situations where the outcome of one event influences the outcome of a subsequent event are termed as conditional probability

We can work this out directly from the definition of conditional probability,

[tex]P(G_1|G_2)=P(G_1nG_2)/(P(G_1)[/tex]

Exactly one of the three cards has sides, so

P(G1∩G2)=1/3

and P(G1)=1/2

THEN

the probability of getting (a, b), i.e. the first card is a and the second card is b IS = 1/3÷1/2 = 2/3

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Which of the following statements about JK and JL is true?
T
8
7
6
-5
y
4
3
2
1
-1
J(2,4)
2 3 4 5
L(1,-1)
K(7.8)
6 7 8

Answers

The true statement about JK and JL is, JK is longer than JL

What are comparison in math?

The process of comparison reveals the shared characteristics of several objects. This is the fundamental idea in mathematics that guides our descriptions of whether two numbers are equal, one is more than, one is less than, or both are equal. Comparing fractions, decimals, and rational numbers are all possible.

The coordinates of the point are:

J (2, 4)

K (7, 8)

L (1, -1)

The distance between two points is given by the formula:

D = √(x2 - x1)² + (y2 - y1)²

The distance between JK is:

JK = √(7 - 2)² + (8 - 4)

JK = √25 + 16 = √41 = 6.40

The distance between JL is:

JL = √(1 - 2)² + (-1 - 4)²

JL = √1 + 25 = √26 = 5.09

Hence, the statement about JK and JL is, JK is longer than JL.

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The complete question is:

Im so confused right now. Can you help me

Answers

how will his speed compare?  or namely, will he be within speed limits or should we give him a big fat ticket for speeding?

well, the 25 mi/hr limit is expecting anyone on that road to only do 40,234 meters per hour, so since an hour is 60 minutes and a minute is 60 seconds, that means an hour is really (60)(60) seconds, or 3600 seconds, so the limit is expecting anyone on that road to do no more than 40,234 meters per 3600 seconds, let's see how Usain fares

[tex]\begin{array}{ccll} meters&seconds\\ \cline{1-2} 100 & 9.63\\ 40234& x \end{array} \implies \cfrac{100}{40234}~~=~~\cfrac{9.63}{x} \implies 100x=(40234)(9.63) \\\\\\ x=\cfrac{(40234)(9.63)}{100}\implies x\approx 3874.53[/tex]

so Usain will covering those 40,234 meters in about 3875 seconds, that's longer than 3600 seconds, meaning Usain will need more than 3600 seconds to cover those meters so he's really going slower 40,234 meters per 3600 seconds, so he's golden,  he's within speed limits, because the limit is expecting noone to do them in less than 3600 seconds.

pls help i don’t understand

Answers

Neither do I but you got it

25 Points! Please help!!

Answers

The product solution is:

[-32, 4, 20, -36]

if the product is -8 and the sum is 2 what are the other 2 numbers? ​

Answers

Answer:

4 and -2

Step-by-step explanation:

4 + -2 = 2

4 x -2 = -8

If m∠HZJ = 38°, what is m∠AZJ?

Answers

Answer: 52 Degrees

Step-by-step explanation:

HZA is a 90 degree angle so since we know that HZJ is 38 degrees then we will subtract 38 from 90 which will be 52 degrees.

a manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 430 gram setting. it is believed that the machine is underfilling the bags. a 21 bag sample had a mean of 421 grams with a standard deviation of 15 . assume the population is normally distributed. a level of significance of 0.1 will be used. find the p-value of the test statistic. you may write the p-value as a range using interval notation, or as a decimal value rounded to four decimal places.

Answers

A manufacturer working at the 430 gram setting, and a 21 bag sample had a mean of 421 grams with a standard deviation of 15. The p-value of test statistic is 0.0074.

To test whether the bag filling machine works correctly at the 430 gram setting, we can conduct a one-sample t-test. The null hypothesis is that the true mean weight of the bags filled by the machine is equal to 430 grams, and the alternative hypothesis is that the true mean weight is less than 430 grams.

The test statistic is calculated as:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the values given in the problem, we get:

t = (421 - 430) / (15 / sqrt(21)) = -2.77

The degrees of freedom for the t-distribution are n - 1 = 20.

Using a t-table or calculator, we can find the p-value associated with a t-score of -2.77 and 20 degrees of freedom. The p-value turns out to be 0.0074 (rounded to four decimal places).

Since the p-value is less than the level of significance of 0.1, we can reject the null hypothesis and conclude that the bag filling machine is underfilling the bags at the 430 gram setting.

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a statistics professor finds that when he schedules an office hour for student help, an average of students arrive. find the probability that in a randomly selected office hour, the number of student arrivals is

Answers

The probability of 3 students arriving at a randomly selected office hour is 0.27(27%). This can be calculated by using the Poisson distribution equation which is P(x)=e^(-λ)*(λ^x/x!).

In the above equation, λ is equal to the average number of arrivals which is 3.3. Plugging these values into the equation gives us  P(3)= e^(-3.3)*(3.3^3/3!) = 0.27, this means that the probability of 3 students arriving in randomly selected office hours is 0.27.The Poisson distribution is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space. It is commonly used in engineering, economics, and other fields.

This equation is especially useful in situations like this one where the arrival rate is known and the probability of a certain number of arrivals needs to be determined.

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A statistics professor finds that when she schedules an office hour for student help, an average of 3.3 students arrive. Find the probability that in a randomly selected office hour, the number of student arrivals is 3.

What is the y-intercept of the line shown? (4 points)

A coordinate plane is shown. A line passes through the point -4 comma 1 and through the y-axis at 4.
3 over 4.
2
3
4

Answers

Answer:

y- intercept = 4

Step-by-step explanation:

the y- intercept is the value of y on the y- axis where the line crosses.

the line crosses the y- axis at 4

then y- intercept = 4

Pre cal due tonight pls help

Answers

The dot product a . b is -22

What is the dot product

The dot product, also known as scalar product or inner product, is a binary operation that takes two vectors and returns a scalar (single-valued) quantity. The dot product of two vectors is equal to the product of the magnitude (length) of the vectors and the cosine of the angle between them.

Given two vectors, A and B, the dot product is defined as:

A ∙ B = |A| * |B| * cos(θ)

where |A| and |B| are the magnitudes of vectors A and B, and θ is the angle between them.

a = <3, -2>

b = <-2, 8>

a . b = (3 * -2) + (-2 * 8)

a . b = -6 + - 16

a . b = -22

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Cuál es el perímetro?

Answers

The perimeter of the figure is 30.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

From the figure,

Number of sides = 5

Each side = 6

So,

The perimeter.

= 5 x 6

= 30

Thus,

30 is the perimeter.

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Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.

x+y=-4
-x-y=4

Answers

The following system of equations has no solutions, the correct option is A.

How to find the solution to the given system of equation?

For that , we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.

If there comes a = a situation for any a, then there are infinite solutions.

If there comes wrong equality, say for example, 3=2, then there are no solutions, else there is one unique solution to the given system of equations.

We have given that;

system of equations are

x+y=-4.....1

-x-y=4......2

Now,

Rearranging the equation 2

-4=x+y

Its equal to equation 1

Therefore, the system of equations will have no solution.

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yesterday, peter the rabbit picked 84 carrots from his garden and ate one-fourth of them. today, he ate 12 carrots. how many carrots are left?

Answers

Peter the rabbit have  51 carrots are left.

one fourth means A quarter is represented in mathematics using fractions. Mathematically, a quarter fraction is a whole divided into four equal parts. where 1 indicates the part being referenced and 4 indicates the number of parts the whole is divided into. In numeric format, it is written as ¼.

so total carrot is 84

and he ate one fourth on that day

so remaining are

84*1/4= 21

21 he eat on that the then remaining =

84 - 21  = 63

63 carrots are remain for next day and

he eat 12 carrot on next day

so remaining = 63 - 12 = 51

so 51 carrot left .

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Use the Angle Addition Postulate to find x

Answers

The value of x by using the addition postulate of an acute angle is 36.

What are acute angles?

Acute angles are those between 0 and 90 degrees, and those angles are less than 90 degrees. When two rays intersect at a vertex, an angle is created.

An acute angle is one that is smaller than 90 degrees in length and has all internal angles that are less than 90 degrees.

Here, we have an acute angle NCQ that is 70 degrees. Using the addition postulate to determine the value of x, we have:

x + 34 = 70

x = 70 + (-34)

x = 70 - 34

x = 36

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Other Questions
assume a conducting sphere of radius 6.5 cm is connected to a 1000 v power supply. what is the charge density on the surface of the sphere in c/m2 ? For what values of x and y must ABCD be a parallelogram? PLSSSS HELP ME ASAP I DONT UNDERSTAND THISJon filled up the tank of his semitruck with 240 gallons of fuel and set out to deliver a shipment of vegetables. His truck uses an average of 0.15 gallons of fuel for each mile he drives. You can use a function to approximate the amount of fuel in Jon's tank after he drives x miles.Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)^x. Line A (y = 3x + 1) is transformed intoLine B (y=2x-7). Which best describesthe new slope and y-intercept?The slope is[ ? ],and the line is shifted[ ? ]steeperflatter The Republic of China (ROC) occupies the Pacific island of Taiwan and a few neighboring islands off the coast of mainland China (the People's Republic of China, PRC). The ROC is a democracy, while the PRC is a Communist state. The division between the ROC and the PRC is a result of the Chinese Civil War (1927 to 1950), which was fought between the Chinese Nationalist Party and the Communist Party of China. After the long civil war, the Communist Party of China won control of the mainland, and the previously ruling Nationalist Party leaders and followers fled to Taiwan, establishing a one-party state in Taiwan. The ROC and PRC now function as separate countries. However, the two countries have never signed a peace agreement, and there are ongoing debates about the sovereignty of Taiwan. Which of the following is the primary basis for the power conflict between mainland China (PRC) and Taiwan (ROC)? A. Access to mainland resources B. Governance over seaports C. Differences in primary language D. Democratic rule versus Communist rule The first interview in the hiring process is called a Is the epidermis replaced every 4 weeks? You have $700 to buy a new carpet for you bedroom write an inequality that represents the cost c per 14 squares for your new carpet the killing of 200 men, women, and children that ended armed resistance in the west Please help meeh:Find the first four terms and stated term given the arithmetic sequence, with a, as the 1" term.an = 25 - 10n, a5an = 11 + 9n, a6an = 65 - 35n, a9 Balancing a centrifuge requires that all tubes in the load:A. have an equal amount of liquid of the same viscosity.B. are of equal size and shape.C. have a partner directly across in the rotor holder.D. All of the above From the tree diagram find the following.(a) P(An E)0(b) P(A)(c) P(A|E)X0.10.9A A0.30.30.40.40.40.2 Seoul in South Korea Serenity is making beaded jewelry with no more than 920 beads she currently has in stock. Bracelets use 15 beadsand necklaces use 70 beads.x= the number of braceletsy = the number of necklaces translate the following sentence into an equation "Twice the difference of M and 14 equals 64 ." Please help this those. b. Isabella has a second tray that has a length of 5/3 inches and a width of 13/4 inchesand a height of 5/2 inches. What is the volume of the second tray? Frank in going to plant b vegetables in one garden and 2b+1 vegetables seeds in a another how many seed is frank going to plant HELP DUE IN 20 MINS!!!!! Boris's company makes solid balls out of scrap metal for various industrial uses. His current task is to make a batch of lead balls with radius 3 in. If he has a 3 total of 28,260 in of lead, how many balls can he make? Use 3.14 for , and do not round your answer. Refer to Explorations in Literature for a complete version of the narrative. In Goodbye to All That, Joan Didion says that when she lived in New York, she was most comfortable in the company of Southerners because they also viewed their time in New York as temporary. Which textual detail does she include to illustrate their common shared experience?