The value of x, in degrees, is given as follows:
A. 48.
What are similar triangles?Similar triangles are triangles that share these two features given as follows:
Congruent angle measures.Proportional side lengths.The similar triangles in this problem are listed as follows:
WUV and WUT.
In triangle UWV, the length of the side adjacent to the angle of 48º has a length of 13.5 cm.
In triangle WUT, the length of the side adjacent to the angle of x has a length of 13.5 cm.
Reminding the two features of similar triangles, namely congruent angle measures and proportional side lengths, the measure of angle x is given as follows:
x = 48º.
(as the equivalent side length is the same, hence the angle measure is also the same).
This means that option A is correct.
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Describe the slope of the line
Find the slope
m=??
Answer: 2.333333...
Step-by-step explanation:
If we apply rise over run, we see that it rises 3.5 spaces, and runs 1.5, which means that \(m = \frac{rise}{run} = \frac{3.5}{1.5} = 2.33333...\)
Sally puts $200.00 in a bank account. Each year the account earns 8% simple interest. How much interest will be earned in three years? A $16.00 B $24.00 C $48.00 D $160.00
Answer:
D
Step-by-step explanation:
I dint know the answers to this and its SUPER important I get it right.
A. The corresponding angles of triangles are coungrent (YES)
B. The triangles have the same shape (YES)
C. The triangles have the same size (YES)
D. The corresponding sides of the triangles are congruent (YES)
need help plz ............................................ .
Answer:
(x+5)+(x-10)+(x-75)+125=360
3x+45=360
3x=315
x=105
X^2 + 6x + 16y - 23 = 0
What is the standard form of the equation?
Answer:
hard!
Step-by-step explanation:
Using the diagram below, what is the length of AC
9514 1404 393
Answer:
B. 4 mi (the correct answer is marked)
Step-by-step explanation:
Corresponding sides are proportional:
AC/EC = AB/ED
AC = EC×AB/ED = (12 ft)×(7 mi)/(21 ft) = (84/21) mi
AC = 4 mi
_____
There is no need to convert from miles to feet, or vice versa, in this problem. The units of ft/ft cancel, so the resulting units associated with the numerical value are miles. (If the unwanted units don't cancel the proportion is written incorrectly.)
If 84 is added to a number, it will be 5 times as large as it was originally. Find the number
Answer:N=21
Step-by-step explanation:
N+84=5N
-N -N
84=4N divide both by 4
21=N
Explain how to solve the equation and then check the
solution.
9 equal q-4
Step-by-step explanation:
9 equal q-4
it's equation will be,
9=q-4Adding 4 on both sides, we get
9+4=q-4+413=qTherefore,
q=13What inequality is shown by the graph?
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A/60
B/45
C/105
The measurement of angle A is
The measurement of angle B is
The measurement of angle Cis
The second pair of points representing the solution set of the system of equations is (-6, 29).
To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.
Given the system of equations:
y = x^2 - 2x - 19
y + 4x = 5
Substituting the x-coordinate of the second point (-6) into equation 2:
y + 4(-6) = 5
y - 24 = 5
y = 5 + 24
y = 29
Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).
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Question
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
y = x2 − 2x − 19
y + 4x = 5
The pair of points representing the solution set of this system of equations is (-6, 29) and
_________.
IXL Help Fast ! Please And Thank You For Helping Me :)
Answer:
52 degrees
Step-by-step explanation:
first solve for x
9x-20=2x+36
9x=2x+56
7x=56
x=8
Now we find angle PTU
9(8)-20
72-20
52
Hopes this helps please mark brainliest
math project : I need an interesting project idea for mathematics that can relate 3 different topics, I should write a full research paper related on the topic this are some examples related to the project
You must state a question that you would like to answer. This must be a specific question within your topic and should be explored thoroughly to create a complete paper.
Examples:
(i) How can we use Mathematical/Calculus-based tools to study the spread of COVID-19?
(ii) Designing a new Mathematical/Calculus-based model to analyze the spread of COVID-19
(iii) How many entrances should there be at Expo to accommodate all visitors?
(iv) How much water does the UAE need in order to sustain its ever changing population? (i.e. comparing water usage vs. water production)
Literature review:
You must show using multiple references and sources of the current literature on your given topic. This does NOT imply that information is simply copied from the internet but rather you must present a comprehensive review and summary of the latest research on your topic. It is suggested that you chose a specific aspect of your topic in order to include all required elements.
Examples:
(i) Review of the existing Mathematical/Calculus-based models used to analyze the spread of COVID-19
(ii) Review of existing Mathematical/Calculus-based models and calculations regarding risk insurance.
Answer:
Here's an interesting project idea for mathematics that can relate three different topics:
Topic 1: Fractals
Topic 2: Chaos Theory
Topic 3: Differential Equations
Research Question: Can fractals be used to model chaotic systems described by differential equations?
In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.
Your research paper can cover the following areas:
Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.
Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.
Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.
Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.
Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.
Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.
Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.
Step-by-step explanation:
How do I solve this??
Answer: 144
Step-by-step explanation:
Product =(12^-5)*(12^7) = 144
Kim made two pies that were exactly the same size. the first pie was a cherry pie, which she cut into 6 equal slices. the second pie was a pumpkin pie, which she cut into 12 equal slices. Kim takes her pies to a party. people eat 3 slices of cherry pie and 6 slices of pumpkin pie. did people eat more cherry pie or pumpkin pie?
Answer:
They ate the same amount of each pie
Step-by-step explanation:
The cherry pie was cut into 6 equal slices and 3 of these slices were eaten so that means there is 1/2 of the pie still left.
The pumpkin pie was cut into 12 equal slices and 6 of these slices were eaten so that also means there is 1/2 of the pie left.
Since both pies still have 1/2 left and they were both the same size then that means the same amount of pie was eaten from both the cherry and the pumpkin.
Hope this helps :)
Find the slope of the line through each pair of points.
(2,-9),(-1,4)
\(\\ \rm\hookrightarrow Slope=m=\dfrac{y_2-y_1}{x_2-x_1}\)
\(\\ \rm\hookrightarrow m=\dfrac{4-9}{-1-2}\)
\(\\ \rm\hookrightarrow m=\dfrac{-5}{-3}\)
\(\\ \rm\hookrightarrow m=\dfrac{5}{3}\)
Answer:
-13/3
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
4-(-9)/-1-2
13/-3
-13/3
Best of Luck!
What is the purpose of data? Answer below.
The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.
Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.
By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.
For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.
Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.
Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.
Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.
Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.
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45 points, need answers ASAP!!! Match each definition with the correct vocabulary word. The variable whose values result from counting or measuring something. The variable (often x) that does not depend on that of another. The variable (often y) whose value depends on that of another. The variable that has two or more groups, but there is no intrinsic ordering to the groups.
Answer:
Step-by-step explanation:
The matches are:
The variable whose values result from counting or measuring something: quantitative variableThe variable (often x) that does not depend on that of another: independent variableThe variable (often y) whose value depends on that of another: dependent variableThe variable that has two or more groups, but there is no intrinsic ordering to the groups: nominal variableA medical assistant sampled the blood pressures of 20 randomly selected patients with high blood pressure before and after they receive a dose of a new medicine. Which hypothesis test should she run?
Considering that she wants to test if the medicine reduces the blood pressure, the hypothesis tested are as follows:
\(H_0: \mu_B = \mu_A, H_1: \mu_B > \mu_A\)
What should be the hypothesis tested?At the null hypothesis, it is tested if the blood pressure was not reduced, that is, the means are equal, hence:
\(H_0: \mu_B = \mu_A\)
At the alternative hypothesis, it is tested if the blood pressure was reduced, that is, the mean before is greater than the mean after, that is:
\(H_1: \mu_B > \mu_A\)
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7
Yuki works at an aquarium. To clean a tank, she calculates of the tank's total volume, and
900
she adds that much cleaning solution to the tank. For a certain tank, this works out to be 2 L
of cleaning solution.
02/1
3
What is the total volume of the tank?
The total volume of the tank is 300L.
The volume of a 3D figure is the space that it occupies.
Here, we are given that Yuki adds cleaning solution that is 7/900 of the tank's total volume.
Let the total volume of the tank be V
We know that the cleaning solution required to clean this tank is 2 1/3 L
Firstly, we need to convert this mixed fraction into an improper fraction, Thus, 2 1/3 = (2*3 + 1)/ 3
= 7/3 L
Thus, we can make the following equation,
(7/900)* V = 7/3
V = 7/3 (900/7)
V = 900/ 3
V = 300
Thus, the volume of the tank is 300L.
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Yuki works at an aquarium. To clean a tank, she calculates 7/ 900 of the tank's total volume, and she adds that much cleaning solution to the tank. For a certain tank, this works out to be 2 1/3 L of cleaning solution. What is the total volume of the tank?
Answer:
300L
Step-by-step explanation:
Just did it on Khan academy.
Abdul will spend at least $33 on gifts. So far, he has spent $18. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Abdul will spend.
Write your answer as an inequality solved for c.
Answer:
Step-by-step explanation:
Abdul has already spent $18 on gifts, and he plans to spend at least $33 in total.
Then, the total amount that Abdul will spend on gifts is given by:
$18 + c
This total amount must be greater than or equal to $33, since Abdul plans to spend at least that much. Therefore, we can write an inequality:
$18 + c ≥ $33
To solve for c, we can subtract $18 from both sides:
c ≥ $33 - $18
c ≥ $15
Therefore, the possible additional amounts Abdul can spend on gifts are any amount greater than or equal to $15. We can write the solution as an inequality:
c ≥ $15
What is the product of 3x(x^2+4)?
0 + 3x + 4
3+ 12
31
124
Answer: i honestly dont know this seems very complicated
Step-by-step explanation:
Answer:
3x^3+12x
Step-by-step explanation:
John flew a kite. He started flying the cat at 2:20 p.m. and ended at 3:14 p.m. How many minutes did John fly a kite?A. 47 minutesB. 50 minutesC. 54 minutesD. 55 minutes
Given data:
The initial time is t=2:20 pm.
The final timme is t'=3:14 pm.
The time during which kite fly is,
\(\begin{gathered} T=3\colon14-2\colon20 \\ =54\text{ min} \end{gathered}\)Thus, option (C) is correct.
Estimate 6,976 + 3,983 + 13,560 by first rounding each number to the nearest thousand.
Answer:
Step-by-step explanation:
The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000, 3,983 rounded to the nearest thousand is 4,000, 13,560 rounded is 14,000.
7,000 + 4,000+ 14,000 = 25,000
Next number in pattern
7,11,12,18,-7?
Answer:
7,8,10,14,22,?
Let the unknown be X.
Observing the pattern, we get
8–7 = 1
10–8 = 2
14 - 10 = 4
22 -14 = 8
X - 22 = 16
( Because the difference, is the Geometric Sequence, with common ratio = 2).
Therefore,
X = 22 + 16 = 38
The next term in the given sequence is 38.
Step-by-step explanation:
7,8,10,14,22,?
Let the unknown be X.
Observing the pattern, we get
8–7 = 1
10–8 = 2
14 - 10 = 4
22 -14 = 8
X - 22 = 16
( Because the difference, is the Geometric Sequence, with common ratio = 2).
Therefore,
X = 22 + 16 = 38
The next term in the given sequence is 38.
Which of the expressions are equivalent to the one below?(8+2).4+2
ANSWER:
B. (8 * 4) + (2 * 4) + 2
STEP-BY-STEP EXPLANATION:
We have the following expression
\(\mleft(8+2\mright)\cdot4+2\)If we operate this expression we can know which one it is equivalent to, therefore we would have:
\(8\cdot4+2\cdot4+2=(8\cdot4)+(2\cdot4)+2\)Therefore the correct answer is option B.
у 2х + 4.
What is the answer?
Answer:
well, y 2x+4 has to be y^2x+4
For breakfast, Mr. Hill bought a cup of coffee for $1.39 and a bagel for $1.85. What was his total cost?
Answer:
$3.24
Step-by-step explanation:
Cost for the coffee + Cost for the bagel
$1.39 + $1.85
$3.24
One cold night the temperature was 0 degrees at 8 p.m. The temperature dropped at a constant rate from 8 p.m. to midnight. At midnight the temperature was −16.8 degrees. What was the temperature at 9 p.m.? Enter your answer in the box. degrees
PLZ HELP!!!! 50 POINTS !!!!
Answer:
Step-by-step explanation:
the rate is -4.2, so after an hour the temperature would be -4.2 degrees
On a coordinate plane, a point is 4 units to the left and 1 unit down.
For the point shown:
The x-coordinate is
.
The y-coordinate is
.
The point is in quadrant
.
.
The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.
In which quadrant is the point?First, remember that for a point (x, y):
if x >0, y > 0, then the point is in quadrant I.if x <0, y > 0, then the point is in quadrant II.if x < 0, y < 0, then the point is in quadrant III.if x >0, y < 0, then the point is in quadrant IV.For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:
(-4, -1)
Then we can see that this point is on the quadrant III.
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Suppose that Motorola uses the normal distribution to determine the probability of defects and the number of defects in a particular production process. Assume that the production process manufactures items with a mean weight of 10 ounces. Calculate the probability of a defect and the suspected number of defects for a 1,000-unit production run in the following situations.
(a) The process standard deviation is 0.25, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.75 or greater than 10.25 ounces will be classified as defects. If required, round your answer for the probability of a defect to four decimal places and for the number of defects to the nearest whole number.
Probability of a defect:
Number of defects:
The probability of a defect is 5.7330 x \(10^{-5}\) and the number of defects is 5.73.
To calculate the probability of a defect, we need to find the area under the standard normal curve that lies outside of the process control limits of 9.75 ounces and 10.25 ounces. We can use the standard normal distribution table to find this area.
First, we need to standardize the weight limits as follows -
\(Z_{lower}\) = (9.75 - 10) / 0.25 = -4
\(Z_{upper}\) = (10.25 - 10) / 0.25 = 4
Next, we will find the area under the standard normal curve that lies outside of these limits as follows -
P(Defect) = P(Z < -4) + P(Z > 4)
Using a standard normal distribution table, we can find that P(Z < -4) = 2.8665 x \(10^{-5}\) and P(Z > 4) = 2.8665 x \(10^{-5}\) .
So, the total probability of a defect is -
P(Defect) = 2.8665 x \(10^{-5}\) + 2.8665 x \(10^{-5}\) = 5.7330 x \(10^{-5}\)
Finally, we will find the number of defects for a 1,000-unit production run as follows -
The number of defects = 1000 * 5.7330 x \(10^{-5}\) = 5.73 (rounded to the nearest whole number).
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