If the figure "WXYZ" is a kite and m∠WXY=13x+24, then the measure of the angle-ZYX is 101.6 degrees.
A "Kite" is defined as quadri-lateral which has two pairs of "adjacent-sides" which are congruent and "one-pair" of "opposite-angles" which are congruent .
We know that the sum of all the vertices of the kite is 360 degree,
So, we add all the vertices of the kite,
We get,
⇒ m∠WXY + m∠WZY + m∠ZWX + m∠ZYX = 360°,
Substituting the values,
We get,
⇒ 13x + 24 + 35 + 13x + 4 + m∠ZYX = 360°,
⇒ 26x + 63 + m∠ZYX = 360°,
⇒ m∠ZYX = 360 - 63 - 26x,
⇒ m∠ZYX = 297 - 26x, ...equation(1)
We also know that, "two-angles of kite are equal where "unequal-sides" meet".
So, m∠ZWX = m∠ZYX,
Substituting the values,
We get,
⇒ 13x + 4 = m∠ZYX, ....equation(2),
Equating equation(1) and equation(2),
we get,
⇒ 13x + 4 = 297 - 26x,
⇒ x = 293/39,
Substituting this in equation(2),
We get,
⇒ 13(293/39) + 4 = m∠ZYX,
⇒ 293/3 + 4 = m∠ZYX,
⇒ m∠ZYX ≈ 101.6 degree.
Therefore, the measure of the angle ZYX is 101.6 degrees.
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The given question is incomplete, the complete question is
The figure WXYZ is a kite. If m∠WXY=13x+24, m∠WZY=35, and m∠ZWX=13x+4, find m∠ZYX?
The midpoint of AB is M (4, 4). If the coordinates of A are (2, 1), what are the
coordinates
of B?
Answer:
(6,7)
Step-by-step explanation:
Let B(x,y).
By the midpoint formula,
4 is the average of 2 and x, so x = 6.Similarly, y = 7.So, the coordinates of B are (6,7).
Question 27
USE A MODEL If the area of the trapezoid shown is 200 square feet, what is the heighth of the trapezoid?
14√//3ft
h
10√/2 ft
The height of the trapezoid is 10.41 ft.
What is area?
The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.
Here the given trapezoid , Base a = ft , Base b = ft and a
area of trapezoid = 200 square feet.
Now using area of trapezoid formula then,
=> Area of trapezoid = square unit.
=> A =
=> 200*2 =( + )h
=> 400 = ( + )h
=> h = 400/( + )
=> h = 10.41 ft.
Hence height of the trapezoid is 10.41 ft.
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(a) what is the probability that the first sample following the mean shift produces a statistics that plots inside the control limits?
The probability that the first sample following the mean shift produces a statistics that plots inside the control limits: β ^{m-1}( 1-β )
What is Probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Pr(shift found on mth sample) = Pr (not detected for (m-1) samples) x Pr (detected on mth)
= [ 1-(1-β) ]^{m-1} ( 1-β )
=β ^{m-1}( 1-β )
the anticipated number of subgroups to be examined before the shift is seen
ARL=1/{1-β}
Shift not detected on the first sample following the shift:
Pr = 1-(1-β) = β
Pr n successive samples that are outside of the control limits
= ( 1- β )^{n}
f) the likelihood that at least one out of n consecutive statistical plots will fall outside the control limit.
=[1- ( 1- β )]^{n}
=β^{n}
Hence, The probability that the first sample following the mean shift produces a statistics that plots inside the control limits is β ^{m-1}( 1-β )
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Under his cell phone plan, Eli pays a flat cost of $63 per month and $4 per gigabyte. He wants to keep his bill under $75 per month. Use the drop-down menu below to write an inequality representing g, the number of gigabytes he can use while staying within his budget.
Answer:
G=3 gigibytes
Step-by-step explanation:
$75-$63=$12
12 divided by 4 is 3, so g is 3
guys i really need helpppp plssss
for a line graph, removing which of the following items would create the cleanest look? review later chart name gridlines tick marks axis titles
To create a clean and minimalist look for a line graph, it is generally recommended to remove the gridlines, tick marks, and possibly the axis titles. These elements can clutter the graph and distract from the main focus, which is the data itself.
The primary objective of a line graph is to visually represent the data in a clear and concise manner. To achieve a clean look, it is often beneficial to remove unnecessary elements that do not contribute directly to the understanding of the data.
Gridlines, while they can assist in reading values, can create visual noise and make the graph appear cluttered. Removing gridlines allows the data points to stand out more prominently. Similarly, tick marks along the axes can be reduced or eliminated to minimize distractions and focus attention on the plotted data.
Axis titles, though important for providing context, may sometimes be redundant or self-explanatory based on the nature of the graph or if the data is accompanied by clear labels. If the graph is already labeled adequately, removing the axis titles can help create a cleaner and less cluttered appearance.
It's important to consider the specific context and intended audience of the graph. Adjustments should be made in a way that maintains clarity and readability while achieving a clean and visually appealing design.
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Please solve this and show work
Answer: I belive the answer you are lookin for is 8x+2!
Step-by-step explanation:
First, we have to do 10x-5 - 2x +7
Then we have 8x + 2 ( our answer)
Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n superscript t rodney owes $1,541.05 on his credit card. his card has an apr of 16.29%, compounded monthly. assuming that he makes no payments and no purchases, how much will he owe after one year? a. $1,561.97 b. $1,811.70 c. $1,792.09 d. $1,541.05
The amount that he owes after one year is 1792.09 dollars. Then the correct option is C.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Rodney owes $1,541.05 on his credit card.
His card has an APR of 16.29%, compounded monthly.
Assuming that he makes no payments and no purchases.
He owes after one year will be
Amount = 1541.05 × 1.1629
Amount = 1792.087 ≅ 1792.09
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Answer:
B.
Step-by-step explanation:
$1811.70
I need help on all four
Step-by-step explanation:
<A and <B are supplementary angles because the addition of <A and <B is together 180°.
Reason : addition of two 90° is 180°.
hope this helps you.
URGENT!! 25 POINTS!!!!!
What is the equation shown
by the following graph?
Answer:
denominator - 6234 is math
Step-by-step explanation:
Given: ∠ABD≅∠DCA, BA⊥ AD andnAD ⊥ DC .
Prove: △BAD≅△CDA.
By AAS property triangle, △BAD and △CDA are congruent.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
In the given figure,
∠ABD≅∠DCA,
BA perpendicular to AD,
And AD perpendicular to DC.
Since in Triangle, ABD ∠A is 90°,
And in triangle DCA angle ∠D is 90°,
Also, ∠ABD≅∠DCA,
Implies that, ∠BDA = ∠CAD
By Angle-Angle-Side property,
△BAD and △CDA are congruent.
Hence, △BAD≅△CDA.
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ill mark brainlist plss help
Answer:
Step-by-step explanation:
Height of model = 20 ft ⋅ (2 in)/(5 ft) = 8 in
Ian's house and land have a market price of $225,000 and an assessed value of 55% of that amount. his state has a property tax rate of 0.088. how much does ian pay in property tax every year? a. $19,800 b. $18,900 c. $10,890 d. $8,910
Ian pay $10,890 in property tax every year if the assessed value of 55% of that amount and his state has a property tax rate of 0.088 option (c) is correct.
What is property tax?It is defined as the amount paid by the owner of the property such as land, buildings etc.
We have:
Lan's house and land have a market = $225,000
Assessed value = 55% ⇒ 0.55
Property tax rate = 0.088
We know the formula for property tax is given by:
Property tax = tax rate×assessed value×market value
Put the values in the above formula, we get:
Property tax = 0.088×0.55×225000
= $10,890
Thus, Ian pay $10,890 in property tax every year if the assessed value of 55% of that amount and his state has a property tax rate of 0.088.
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19 less than 3 times a number is 88
Answer:
19-3*x=88
Step-by-step explanation:
(x is the variable not the times!) (this symbol: * means times)
answer :
x = - 23
explanation :
19 - 3x = 88
Break it down :
"19 less than": Means we are going to subtract 19 from a number.
"3 times a number": Pick a variable to represent the number and multiply
that by 3. ex: 3x
Solve : 19 - 3x = 88
- 19 - 19 ( subtract - 19 from both sides,
to get " -3x = 69 " )
-3x = 69
/ -3 / -3 ( divide both sides by -3,
to get your answer, x = -23 )
x = - 23
in a sample of 307 pop music selections, the key was identified correctly in 245 of them. in a sample of 347 new-age selections, the key was identified correctly in 304 of them. can you conclude that the method is more accurate for new-age songs than for pop songs?
according to a local law, each household in this area is prohibited from owning more than 3 of these pets. if a household in this area is selected at random, what is the probability that the selected household will be in violation of this law? show your work.
The probability that a randomly selected household in the area will be in violation of the local law prohibiting owning more than three pets the number of households that own more than three pets divided by the total number of households in the area.
To calculate the probability, we need to determine the number of households that own more than three pets and the total number of households in the area. Let's assume there are a total of N households in the area.
The number of households that own more than three pets can vary, so we'll denote it as X. Now, to find the probability, we divide X by N. The probability can be written as P(X > 3) = X/N.
However, we don't have specific information about the number of households or the distribution of pet ownership in the area. Without these details, it is not possible to provide an exact probability. To calculate the probability accurately, we would need more information about the population of households in the area, such as the total number of households and the distribution of pet ownership. With this information, we could determine the number of households violating the law and calculate the probability accordingly.
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Terrance has 425 balloons for the neighborhood festival. He puts them into 7 groups. How many balloons will Terrance have in each group? How many balloons will he have leftover?
Answer:
60 in each group and 5 left over
Step-by-step explanation:
6 0
7. 425
42
0 5
0
R=5
What's the slope of (6, 5) and (3, 7.5) ?
Answer:
The slope of (6, 5) and (3, 7.5) is 5/-6.
As a decimal: (-0.83333333333...)
Step-by-step explanation:
Formula for slope:
\(m=\frac{y^2-y^1}{x^2-x^1}\)
('m' means slope.)
\((x^1,y^1) =\) coordinates of the first coordinate point
\((x^2,y^2)=\) coordinates of the second coordinate point.
--------------------------
Coordinates:
\((6,5)(3,7.5)\)
-------------------------
Now, I will simply plug the numbers into the formula.
\(m=\frac{7.5-5}{3-6} =\frac{2.5}{-3} =5/-6\)
As a decimal: (-0.83333333333...)
The slope of the given points is 0.833
Slope, m, is given by the formula
\(m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)
From the question
\(x_{1} = 6\)
\(y_{1} = 5\)
\(x_{2}=3\)
\(y_{2}=7.5\)
Putting the above parameters into the formula
\(m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)
We get
\(m =\frac{7.5-5}{3-6}\)
∴ \(m= \frac{2.5}{-3}\)
\(m = 0.833\)
Hence, the slope of the given points is 0.833
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How do you solve this type of problem?
It's a fact that the sum of the angles of a triangle add up to 180º.
So, 55º + 85º + (3x+4)º = 180º.
That's the equation you need to solve:
55 + 85 + 3x+4 = 180 (combine like terms)
144 + 3x = 180 (subtract 144 from both sides)
3x = 36 (divide both sides by 3)
x = 12 (you've got x)
Is it true that for every natural number n, the integer n3 + n2 + 41 is prime? Prove or give a counterexample.
Counterexample: The statement is not true. For n = 41, the expression n^3 + n^2 + 41 equals 41^3 + 41^2 + 41, which is divisible by 41 and therefore not prime.
To prove or disprove the statement, we need to find a counterexample, i.e., a natural number n for which n^3 + n^2 + 41 is not prime. By substituting n = 41 into the expression, we obtain 41^3 + 41^2 + 41. This expression is divisible by 41 since it can be factored as 41(41^2 + 41 + 1). Since a prime number is only divisible by 1 and itself, this means that the expression is not prime and thus disproves the statement. Therefore, the claim that n^3 + n^2 + 41 is prime for every natural number n is false.
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Im so tired i cannot right now lol
so help pls
Answer:
Choice B, 90
Step-by-step explanation:
Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−2, y+3).
Triangle ABC on the coordinate plane with the ordered pairs for A as 1,1, B as 2,5, and C as 3,2.
Which coordinates will best represent point B'? (4 points)
Image
(4, 2)
(0, 8)
(−1, 7)
(5, 3)
Answer:
(0,8)
Step-by-step explanation:
(2,5) to (0,8)
(2-2,5+3) --> (0,8)
HURRYY!!!!
An oil company fills 1 over 10 of a tank in 1 over 5 hour. At this rate, which expression can be used to determine how long will it take for the tank to fill completely?
1 over 5 ⋅ 10 hours
1 over 10 ⋅ 5 hours
1 over 5 ⋅ 1 over 10 hours
5 ⋅ 10 hours
Answer:
I believe the answer is the 3rd one
Step-by-step explanation:
i think im gonna buy human flesh off the darkweb today
Answer:
i- alrighty then
Step-by-step explanation:
Determine the domain of the following graph:
Please help!! Desperate
The domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
As we can see in the picture, a graph is shown.
The hollow points denote that at x = -3 and x = 7 the function value is not defined, that's why these points should be excluded from the domain of the functions.
The domain of the function:
D: x ∈ (-3, 7)
Thus, the domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.
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for a particular peculiar pair of dice, the probabilities of rolling 11, 22, 33, 44, 55, and 66, on each die are in the ratio 1:2:3:4:5:61:2:3:4:5:6. what is the probability of rolling a total of 77 on the two dice?
The probability of rolling a total of 7 on the two dice is 8/63
Probability:
In Mathematics, Probability is a branch that deals with the occurrence of possible outcomes in a random event or experiment. It is also defined as the ratio of the number of favorable outcomes and the total number of outcomes.
The probability of an event is denoted by P(E). And the probability of all the events in the sample space will equal to 1.
Probability P(E) = No of favorable outcomes /Total No of outcomes
Here we have,
The probabilities of rolling 1, 2, 3, 4, 5, and 6, on each die, are in the ratio 1: 2: 3: 4: 5: 6
Let x, 2x, 3x, 4x, 5x, and 6x are the probabilities of rolling 1, 2, 3, 4, 5, and 6, on each die [ since they are in ratio 1: 2: 3: 4: 5: 6 ]
As we know the total events in a probability = 1
=> x + 2x + 3x + 4x + 5x + 6x = 1
=> 21 x = 1
=> x = 1/21
From the above calculations,
The probabilities of rolling 1, 2, 3, 4, 5, and 6 are \(\frac{1}{21} , \frac{2}{21}, \frac{3}{21}, \frac{4}{21}, \frac{5}{21}, \frac{6}{21}\) respectively.
The possible combinations of two dies that can give a total of 7 are
(1, 6) (2, 5) (3, 4) (4, 3) (5, 2) (6, 1)
Therefore, the probability of rolling a total of 7 on the two dice
= the sum of the probabilities of rolling each combination
= \(\frac{1}{21} . \frac{6}{21} + \frac{2}{21} .\frac{5}{21} + \frac{3}{21} . \frac{4}{21} + \frac{4}{21} . \frac{3}{21} + \frac{5}{21} .\frac{2}{21} + \frac{6}{21} .\frac{1}{21}\)
= \(\frac{6}{441} + \frac{10}{441} + \frac{12}{441} + \frac{12}{441} + \frac{10}{441} + \frac{6}{441}\)
= \(\frac{56}{441}\)
= \(\frac{8}{63}\)
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The complete question is
For a particular peculiar pair of dice, the probabilities of rolling 1, 2, 3, 4, 5, and 6, on each die are in the ratio 1:2:3:4:5:6. What is the probability of rolling a total of 7 on the two dice
‼️WILL MARK BRAINLIEST‼️
each orange weighs 0.38 lb which will increase according to the number of oranges. for example, the total weight of three oranges would be 3 × 0.38. the total weight of the a number of oranges in this case would be 0.38 × g
along with that, the weight of the empty crate is 15 lb.
so the total mass of a loaded crate would be:
24.5 = 15 + g × 0.38
Jon buys a shirt for $40 and then buys socks for $15. He lives in Maine and their
sales tax rate is 5%. How much will his sales tax be?
Jon pays $40 and $15. This means that he pays a total of $55. You multiply the total cost by 0.05, which is $2.75. To convert a number to a percentage, multiply it by 100. So, 0.05 as a percent is equal to 5%.
His sales tax will be $2.75.
The US GDP (Gross Domestic Product) for 2014 was a reported 17. 555 trillion dollars. The current US population is about 320 million people. Round all answers to the nearest hundredth
The US GDP (Gross Domestic Product) for 2014 was reported to be the nearest hundredth is 17. 56 trillion dollars. The current US population is about 320 million people to the nearest hundredth.
The gross domestic product (GDP) is a commonly used indicator of the value added produced by the production of goods and services in a country over a certain time period (GDP). As a result, it also takes into account the money made from that manufacturing or the sum of money spent on finished goods and services (fewer imports). Although the gross domestic product (GDP) is the most important indicator for gauging economic activity, other metrics may be better suitable for gauging people's material well-being.
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A triangle has angle measurements of 44 degrees,87 degrees, and 49 degrees. What kind of triangle is it? acute,right, and obtuse.