helpp, please!
Andre wanted to measure the width of a creek by his camp but cannot get to the other side of the creek. Andre decided to construct two triangles to determine the width of the creek indirectly. Sighting the position of a tree on the opposite bank of the creek and placing 4 wooden pegs at point N, O, P, and Qas shown in the figure such that MN is perpendicular to NP, NP is perpendicular to PQ, and O is the midpoint of NP. Andre claims that AMNO and AQPO are congruent.
Part A: Provide a valid argument, using geometry theorems or postulates, to validate Andre's claim that AMNO and APQO are congruent.
Part B: Which segment should Andre measure to determine the width of the creek? Explain why.
Answers
Answer:
Step-by-step explanation:
Part A: you can just restate parts of the text to make a vaild argument or you can make you own
Part B: he should measure N, O, P and Qas
Triangles MNO and QPO are congruent. To find the width of the creek, Andre should find the measurement of NP
What is congruent triangles?When two triangles are congruent, their corresponding three sides and their three angles match precisely.
Given that
O is the midpoint of NP,
NP is perpendicular to MN, and
NP is perpendicular to PQ.
When two lines intersect at a specific point, the opposite angles formed in this situation are equal.
a) Then ∠MNP =∠QPO=90°
∠MON=∠QOP
Also, NO = OP (by the definition of midpoints)
Therefore, Triangles MNO and QPO are congruent by ASA rule
And,
b) To find the width of the creek, Andre should find the measurement of NP, because according to the figure the width is represented by NP. He should find NO and OP and then add it.
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Related Questions
Mr. Estrada's car can travel no more than 510 miles on one full tank of gasoline. After filling up the tank with gasoline, he traveled 194 miles in the car. Write an inequality that represents the values of m, the number of miles Mr. Estrada can travel in the car with the remaining gasoline in the tank and solve.
please help me!! this is due very soon
Answers
Answer:
Step-by-step explanation:
The required inequality x + m ≤ 510, and the distance is 316 miles.
What is inequality?Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.
Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.
Let,
x miles = distance already traveled
m miles = distance miles can travel with remaining gas
510 = max. miles can travel on a full tank
As per the given question,
The inequality will be written as,
x + m ≤ 510
194 + m ≤ 510
m ≤ 510 - 194
Apply the subtraction operation, and we get
m ≤ 316
Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.
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You are given the expressions:
3 x (3 + 7) – 42 = 2.
Explain how you will
find the solution
Answers
Answer:
22/15=x
Step-by-step explanation:
Well first off we have to do the stuff in the parentheses-
3x(3+7)-42=2
9x+21x-42=2 Now we have to get x by itself
+42 +42
9x+21x=44 Now add the like terms
30x=44 Divide by 30
/30 /30 30 chancels out
44/30 Simplify
22/15=x
Do the parenthesis first, 3+7=10, then do the exponent and get 256,multiply 3 times 10 and get 30, do 256 divided by 2 and get 128, finally do 30-128 to get 98.
98 is your answer
A football team lost 14 yards on their first play then lost another 7 yards on the next play. What integer represents the total change in yards for the two plays? *
Answers
Answer:
-21 yards
Step-by-step explanation:
= -14 + -7
= -21
Lost 21 yards
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
The total change in yards for the two plays 21 yards lost
what are integers?Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.
Definition of IntegersAn integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. A few examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043. A set of integers, which is represented as Z, includes:
Positive Numbers: A number is positive if it is greater than zero. Example: 1, 2, 3 . . .
Negative Numbers: A number is negative if it is less than zero. Example: -1, -2, -3 . . .
Zero is defined as neither a negative number nor a positive number. It is a whole number.
In first play= 14 yards lost= -14
In next play = 7 yards lost = -7
So,
the total change in yards is = -14 + (-7)
=-14-7
= -21 yards
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Anoop is a lawyer. He charges clients $72 per hour for his services. If Anoop charges a client $612, which equation is set up and solved correctly to determine the number of hours (h) Anoop provided legal services? Responses
Answers
The equation that can be used to determine the number of hours that Anoop provided legal services is h = $612 / $72 .
What is the equation?
Division is the mathematical process used in grouping a number into equal parts using another number. The result of the division process is known as the quotient. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
In order to determine the number of hours that Anoop provides legal services, divide the total amount that he charges the client by the charge per hour.
Number of hours that Anoop worked = total amount he charges the client / charge per hour
h = $612 / $72
h = 8.5 hours
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x + 2y = 2 and 6x – 3y = 21 parallel, perpendicular, or neither
Answers
Answer:
perpendicular
Step-by-step explanation:
both lines meet at a 90 degree angle
A shopper pays $87.15 for an $83 ceramic vase after sales tax is added. What is the sales tax percentage?
Answers
Answer:
5% or $4.15
Step-by-step explanation:
Answer:
5%
Step-by-step explanation:
sales tax: 87.15-83 = 4.15
4.15/83 = 0.05
to convert decimal to percentage multiply by 100
0.05*100 = 5%
Determine which number is a solution of the inequality. j+8 ≤ 8; 0, 1, 2
Answers
Answer:
The solution to the inequality is 0.
The winning times (in seconds) in a speed-skating event for men can be represented by the formula T = 46.97 - 0.099x, where x represents the year, with x = 0 corresponding to 1920. (For example in 1992, x would be 1992 - 1920 = 72.) According to the formula, what was the winning time in 1997? Round to the nearest hundredth. * 1 point 40.34 sec 39.35 sec 3609.07 sec 41.33 sec
Answers
Answer:
39.35 sec
Step-by-step explanation:
Given that:
The winning time is represented by the function:
T = 46.97 - 0.099x
Where x = year ; x = 0 corresponding to 1920
According to the formula, what was the winning time in 1997?
first find the value of x;
x = 1997 - 1920 = 77 years
Nowing plugging the value of x in the function :
T = 46.97 - 0.099(77)
T = 46.97 - 7.623
T = 39.347 seconds
T = 39.35 s
CAN SOMEONE PLEASE WRITE AN EQUATION FOR THAT LINE? THIS IS THE 4th TIME I POSTED IT PLEASE SOMEONE HELP!!$
Answers
Answer: y= \(\frac{-3}{1}\)x-4
Step-by-step explanation:
y=mx+b
slope= -3/1
y intercept (the y intercept is where the line intercepts the y axis) = -4
y= \(\frac{-3}{1}\)x-4
I am not a professional, simply using prior knowledge.
Note- It would mean the world to me if you could mark me as brainliest!
Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
Answers
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:Contents: The Hong Kong budget comprises revenue and expenditure. It provides a detailed analysis of expected sources of income and the allocation of funds.Format: The Hong Kong budget is presented in a clear and concise format, including charts and graphs to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability.Disadvantages: It does not provide detailed information on tax expenditures and lacks public participation in the budget process.
United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
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Respondents commonly receive telephone calls from people taking surveys dur- ing the evening dinner hour. Those planning the survey probably think that many poten- tial respondents will be home at that time. Discuss 2 reasons why you think this approach will be effective and discuss 2 reasons why you think this approach will not be effective.
Answers
The effectiveness of conducting survey during the evening dinner hour depends on factors such as the target population
There are several reasons why conducting surveys during the evening dinner hour can be both effective and ineffective. Let's discuss two reasons for each:
Reasons why this approach may be effective:
Availability of respondents: Many people tend to be at home during the evening dinner hour. This makes it more likely that potential respondents will be available to take the survey. They are more likely to have finished work for the day and be in a relaxed environment, making them more willing to engage in a conversation and provide thoughtful responses.
Capturing diverse demographics: Conducting surveys during the evening dinner hour allows for a better representation of different demographic groups. For example, families with children are more likely to be home during this time, enabling the survey to capture the perspectives and opinions of a wider range of respondents. This approach helps ensure that the survey results are more comprehensive and representative of the target population.
Reasons why this approach may not be effective:
Disruption during dinner: Calling potential respondents during the evening dinner hour may be seen as an intrusion and disrupt their family time or personal activities. They may feel rushed, distracted, or unwilling to engage in a survey during this time. It could lead to biased responses or individuals rushing through the survey without giving thoughtful answers.
Limited response rate: While many people may be home during the evening dinner hour, they may not be willing to take part in a survey. They might prioritize personal or family time and be unwilling to spend time on a telephone survey. This can result in a low response rate and potentially biased results if those who do participate have different characteristics or opinions compared to those who opt out.
Overall, the effectiveness of conducting surveys during the evening dinner hour depends on factors such as the target population, cultural norms, and the willingness of individuals to participate. It is crucial to consider these factors and adapt survey methodologies to maximize response rates and ensure the validity and representativeness of the collected data.
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The sides of a quadrilateral are in the ratio 2:3:5:8. The difference between the shortest side and the longest side is 7.5 cm. Work out the perimeter of the quadrilateral.
Answers
Answer:
Step-by-step explanation:
To answer this problem, we may use the information provided about the quadrilateral's side ratio and the difference between the smallest and longest sides.
To begin, we may utilize the difference in length between the shortest and longest sides (7.5 cm) to establish a baseline for one of the sides. We may infer that the shortest side is 7.5 cm and the longest side is (7.5 cm + 7.5 cm) = 15 cm since the difference between the shortest and longest sides is 7.5 cm.
We can calculate the length of the other three sides using the side ratio:
3/2 x 7.5 cm = 11.25 cm is the length of the second shortest side.5/2 x 7.5 cm = 18.75 cm is the length of the second longest side.30 cm is the length of the third longest side (8/2 x 7.5 cm).We sum together all the sides to find the quadrilateral's perimeter:
Perimeter = 67.5 cm = 7.5 cm + 11.25 cm + 18.75 cm + 30 cm
As a result, the quadrilateral's perimeter is 67.5 cm.
Hiroto's texting plan costs $20 per month, plus $0.05 per
text message that is sent or received. Emilia's plan costs
$10 per month and $0.25 per text. Using the graph below,
which statement is true?
Answers
The question is incomplete:
Hiroto's texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia's plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?
A. Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.
B. Both plans cost the same when 22 texts are sent.
C. Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
D. Both plans cost the same when 50 texts are sent.
THE GRAPH IS ATTACHED.
Answer:
D. Both plans cost the same when 50 texts are sent.
Explanation:
The answer is that both plans cost the same when 50 texts are sent as both lines intersect in 50 texts with a price of $22.5 which means that they cost the same.
The other options are not right:
-Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent. This is not true because in the graph you can see that after 50 texts Emilia's line is higher which indicates that her plan has a higher costs.
-Both plans cost the same when 22 texts are sent. This is not true because the lines don't intersect at the same point when 22 texts are sent.
-Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent. This is false because when 22 texts are sent Emilia's plan costs around $15.5 and Hiroto's plan costs around $21 and Hiroto's plan is more expensive until they reach 50 texts that is the only point where they cost the same.
Answer:
D. Both plans cost the same when 50 texts are sent.
Step-by-step explanation:
If you flip two coins 56 times, what is the best prediction possible for the number of times both coins will land on heads?
Answers
The best prediction possible for the number of times both coins will land on heads is 14.
What is probability of getting heads on each coin?
The probability of getting heads on each coin is 1/2 when flipping two coins.
Since the two coins are flipped independently of each other.
So, the probability of getting heads on both coins is (1/2) × (1/2) = 1/4.
If two coins are flipped 56 times.
Then the expected number of times both coins will land on heads is the product of the probability of both coins landing on heads (1/4) and the number of times the coins are flipped (56).
Expected number of times both coins land on heads = (1/4) × 56 = 14
Therefore, the best prediction possible for the number of times both coins will land on heads is 14.
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a randomly selected card from a standard 52-card deck is noted. the card is then replaced, the deck is shuffled, and a second card is selected and noted. what is the probability that both cards are hearts?
Answers
The probability that both the cards are hearts is 1/16.
Given that:-
Total number of cards in a standard deck of cards = 52
A card is randomly selected from a standard 52-card deck and noted. The card is then replaced, the deck is shuffled, and a second card is selected and noted.
We have to find the probability that both the cards are hearts.
We know that,
Number of hearts in a standard 52 deck of cards = 13
Hence,
Probability of selecting a heart card = 13/52 = 1/4
After shuffling,
Probability of selecting a heart card = 13/52 = 1/4
Hence,
Probability that both the cards are hearts = (1/4)*(1/4) = 1/16.
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A number cube is rolled 450 times and the
results recorded as follows: There were
75 ones, 80 twos, 69 threes, 78 fours,
77 fives, and 71 sixes. What is the
experimental probability of rolling a two or a
three?
[A] 0.33 [B] 0.57 [C] 0.43 [D] 0.67
Answers
Answer:
A.) 0.33
Step-by-step explanation:
you plan to purchase a plane ticket $299.00and you are going to use a discount code to receive 15% off
Answers
Answer: The answer is $254.15
The area of Max’s room, not including his closet, is 235.675 square feet. The area of his closet is 10.45 square feet. What is the area of his room, including the closet?
Answers
Answer:
246.125 square feet
Step-by-step explanation:
235.675+10.45= 246.125
1) What are the domain and range of f(x)=-*+7?
Answers
Answer:
not clear but it should be 0 because it doesnt make sense
Step-by-step explanation:
(07.01)How many solutions can be found for the equation 4x = 4x?
O Zero
O One
Two
Infinitely many
Answers
Answer:
Infinitely many
Brainliest?
12. Which relation has a domain of {–5, –3, 0} and a range of {1, 2, 3, 4, 5, 6, 7, 8}? {(-5, -5), (-3, 0), (2, 8), (1, 7), (5, 3), (6, 4)} {(-5, 9), (10, –3), (2, 1), (3, 4), (0, 5), (6, 8), (0, 7)} {(2, –5), (3, –3), (6, 0), (7, –5), (1, 0), (8, –5), (4, –3), (5, 0)} {(–5, 8), (–5, 2), (–3, 3), (–3, 1), (0, 4), (0, 5), (–5, 7), (–3, 6)}
Answers
Step-by-step explanation:
Which relation has a domain of {–5, –3, 0} and a range of {1, 2, 3, 4, 5, 6, 7, 8}? {(-5, -5), (-3, 0), (2, 8), (1, 7), (5, 3), (6, 4)} {(-5, 9), (10, –3), (2, 1), (3, 4), (0, 5), (6, 8), (0, 7)} {(2, –5), (3, –3), (6, 0), (7, –5), (1, 0), (8, –5), (4, –3), (5, 0)} {(–5, 8), (–5, 2), (–3, 3), (–3, 1), (0, 4), (0, 5), (–5, 7), (–3, 6)}
6.63 feet =yards
A 21
B 12
C 189
I'm not the smartest in math
Answers
Answer:
2.21 yd
Step-by-step explanation:
1 yard = 3 feet
6.63/3 = 2.21 yd
Refer to Table 4-1. Suppose that D2 and S1 are the prevailing demand and supply curves for a product. If the demand schedule changes from D2 to D1, then:
Price D 1 D 2 S 1 S 2
$12 5 9 19 14
$10 8 12 17 12
$8 11 15 15 10
$6 13 18 13 8
$4 16 21 11 6
$2 18 24 9 4
equilibrium price increases from $6 to $8.
equilibrium quantity increases from 13 to 18
equilibrium quantity decreases from 15 to 13.
equilibrium price decreases from $6 to $4.
Answers
The correct option is A, equilibrium price increases from $6 to $8.
What do you mean by Equilibrium?In economics, equilibrium is a state in which the supply and demand for a product or service are balanced, resulting in a stable price. This can occur in a free market, where the price of a good or service is determined by the interaction of buyers and sellers.
Overall, equilibrium is a fundamental concept in many different fields, representing a state of balance or stability in a system or situation.
If the demand schedule changes from D2 to D1, then the demand curve shifts to the left. As a result, the new equilibrium point will be where the new demand curve (D1) intersects with the supply curve (S1).
From the table, we can see that the new equilibrium point is at a price of $8 and a quantity of 15. Therefore, the equilibrium price increases from $6 to $8, but the equilibrium quantity decreases from 15 to 13.
So the correct answer is: equilibrium price increases from $6 to $8.
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The math says expand 5(2-7x) what is the answer
Answers
Step-by-step explanation:
in my opinion
5(2- 7x)
5×2 - 5×7x
= 10-35x
What would x be? (giving 50 points!)
Using the following image, solve for x.
Answers
\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
\(\qquad \tt \rightarrow \:x = -3 \)
____________________________________
\( \large \tt Solution \: : \)
\(\qquad \tt \rightarrow \: CD + DE = CE\)
\(\qquad \tt \rightarrow \: x + 10 + x + 4 = 8\)
\(\qquad \tt \rightarrow \: 2x + 14 = 8\)
\(\qquad \tt \rightarrow \: 2x =8 - 14\)
\(\qquad \tt \rightarrow \: 2x = - 6\)
\(\qquad \tt \rightarrow \: x = - 3\)
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
\(\huge \boxed{\sf x=-3}\\\\\\\displaystyle \sf CD+DE=8 \\\\x+10+x+4=8\\\\2x+14=8\\\\Subtracting\ 14\ from\ each\ side\\\\ 2x+14-14=8-14\\\\2x=-6\\\\ Dividing\ each\ side\ by\ 2 \\\\ \frac{2x}{2} =\frac{-6}{2} \\\\x=-3\)
Describe the steps you used to solve the equation and
find the amount of Carrie's allowance.
Linear
equation: 1/4 a + 1/3 a+ 8 = 22
Answers
Answer: 22
Step-by-step explanation: 1/4a + 1/3a + 8 = 22
Answer:
Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.
Step-by-step explanation:
Solve the following equation.
PLEASE HELP ASAP NO ROCKY THE EQUATION IS ON THE PICTURE !!!
Answers
find the radian measure of an angle at the center of a circle with radius 77.0 cm that intercepts an arc length of 128 cm
Answers
The radian measure of the angle at the center of the circle is approximately 1.6623 radians.
We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.
To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.
The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)
Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.
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How do you step by step solve the equation n(n+2) = 0
Answers
Answer: n = 0 and -2
Step-by-step explanation:
Equate the expressions to zero
n(n+2) = 0
n = 0 and n+2 = 0
n = 0 and n = -2
HALP PWEEZE AND I WILL GIVE BRAINLIEST
i already ploted the points so yeah UvU
Answers
Answer:
8. the x is always 0
9. (u can graph it, right?) the y is always 0
10. (2,0), (3,1), (4,2), (5,3)
Step-by-step explanation:
Step-by-step explanation:
8 no....the X is 0 .
9no.....after graphing the y is also O in the following
10no....(2,0)(3,1)(4,2)(5,3)