Part B
Based on your construction, what do you know about ΔABD and ΔBCD?
Answers
The construction and the resulting triangles are interesting because they allow us to explore the properties of perpendicular lines and the angles they form.
Now, let's look at the two triangles that are formed as a result of this construction - ΔABD and ΔBCD. Since line BD is perpendicular to line AC, we know that angle ABD and angle CBD are both right angles. This is because any line that is perpendicular to another line forms a right angle with that line.
Now, let's look at the other sides of the triangles. In ΔABD, we have side AB, which is different from side BC in ΔBCD. Similarly, in ΔBCD, we have side CD, which is different from side AD in ΔABD.
So, although the two triangles share a common side (BD), they have different lengths for their other sides. This means that the two triangles are not congruent, since congruent triangles must have the same length for all their sides.
However, we can still find some similarities between the two triangles. For example, since angle ABD and angle CBD are both right angles, we know that they are congruent. Additionally, we can use the fact that angle ADB is congruent to angle CDB, since they are alternate interior angles formed by a transversal (line BD) intersecting two parallel lines (line AC and the line perpendicular to it passing through point B).
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Complete Question:
Draw a line through point B that is perpendicular to line AC Label the intersection of the line and line AC as point D. Take a screenshot of your work, save it, and insert the image in the space below.
Part B
Based on your construction, what do you know about ΔABD and ΔBCD?
Related Questions
Given: а || b & Z1= 22
Prove: c || d
Answers
The number of defectives in 10 different samples of 100 observations each is the following: 1, 2, 1, 0, 2, 3, 1, 4, 2, 1. What is the estimate of the population proportion of defectives? A. . 017 B. . 17 C. . 016 D. . 16 18
Answers
The estimate of the population proportion of defective in 10 different samples of 100 observations is A) 0.017
The estimate of the population proportion of defectives can be calculated as the sum of the number of defectives in all the samples divided by the total number of observations.
In this case, the number of defectives is 1 + 2 + 1 + 0 + 2 + 3 + 1 + 4 + 2 + 1 = 17, and the total number of observations is 10 * 100 = 1000.
Therefore, the estimate of the population proportion of defectives is 17/1000 = 0.017.
So, the answer is A. 0.017.
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hose fills a hot tub at a rate of 4.09 gallons per minute. How many hours will it take to fill a 250-gallon hot tub?
Answers
Answer:
Step-by-step explanation:
250 gals divided by 4.09
answer:61.12
before you add a trendline to a chart, you need to determine the data series to analyze.true/ false
Answers
Answer: True
Step-by-step explanation: When you need to analyze the data presented in PivotTables and PivotCharts, use a trendline to select the data to display and summarize.
True, before adding a trendline to a chart, it is essential to determine the data series that you want to analyze.
A trendline is a graphical representation of a pattern or direction within a given set of data, which can help in predicting future data points or understanding relationships between variables. By selecting the appropriate data series, you can effectively evaluate the trends and correlations within that specific dataset.
When creating a chart, you'll often work with multiple data series representing different variables or measurements. Identifying the relevant data series to analyze is crucial in order to obtain meaningful insights from the trendline. Once you have determined the data series of interest, you can then proceed to add a trendline that best fits the data points and provides a clear understanding of the underlying patterns.
In summary, it is true that determining the data series to analyze is an important step before adding a trendline to a chart, as it allows you to gain valuable insights and make informed decisions based on the observed trends.
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Elisa and her friend are dividing a 34-ounce bag of pretzels. Elisa
shares her portion equally with her two sisters. Which fraction
represents the amount of pretzels, in pounds, each person receives?
A. 17/48 lb
B. 2 1/8 lb.
c. 11 1/3 lb.
D. 1/2 lb.
Answers
Amount of pretzel each person receives is 17/16 lb.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator.
Total weight of the bag of pretzels = 34 ounce
Elisa shares this among her two sisters equally.
Share of pretzels each sister gets = 34 / 2 = 17 ounces
We need this amount in pounds.
We know that,
16 ounce = 1 lb.
17 ounces = 17/16 lb.
Hence the amount of pretzels each get is 17/16 lb.
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What is the test of nonverbal intelligence?
Answers
A test of nonverbal intelligence is a type of cognitive assessment that measures an individual's ability to solve problems and think abstractly without the use of language.
Unlike traditional intelligence tests that rely heavily on verbal abilities such as vocabulary, reading, and verbal reasoning, nonverbal intelligence tests use visual-spatial and abstract reasoning tasks that do not require the use of language.
Nonverbal intelligence tests can be particularly useful for individuals who have language or communication difficulties, such as those with speech and language disorders, or those who are non-native speakers of the language in which the test is administered. They can also be used to assess individuals who have difficulty with traditional tests due to visual or hearing impairments.
Examples of nonverbal intelligence tests include Raven's Progressive Matrices, the Naglieri Nonverbal Ability Test (NNAT), and the Universal Nonverbal Intelligence Test (UNIT). These tests typically involve completing visual pattern recognition and completion tasks, spatial reasoning tasks, and other nonverbal problem-solving tasks.
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Jayna used the distributive property to simplify the expression 4(a + 2) and got(4a + 2). Do you agree with Jayna?
Answers
Answer:
No
Step-by-step explanation:
I would not agree with Jayna because using the distributive property, you can get:
4(a + 2) = 4(a) + 4(2) = 4a + 8
Jayna did not get the right answer because she did not distribute the 4 to the 2 in a + 2 and she only multiplied a by 4.
A president and vice-president for an honor society are chosen from twelve people. How many different president/vice-president combinations are possible?
Answers
There are 12 different possibilities for a president. Therefore, there are 11 possibilities for vice-president.
We calculate this combination when we multiply 12 x 11:
12 x 11 = 132
Therefore, there are 132 different ways to make combinations.
Rachel reads 36 chapters of a book in 6 hours. What is her rate in chapters per hour?
Answers
Answer:
6 chapters per hour
Step-by-step explanation:
36 chapters divided by 6 hours equals 6 chapters per hour.
Answer:
6
Step-by-step explanation:
36 devide by 6=6
You find a mutual fund that offers approximately 7.5% APR compounded
monthly. You will invest enough each month so that you will have $2000 at
the end of the year. How much money will you have invested in total after 1
year?
O A. $1854.93
O B. $1734.57
O C. $1932.12
O D. $1302.67
Answers
Answer: the answer is C $1932.12
Step-by-step explanation:
AP3X
The money you have to invested in total after 1 year $1932.12, the correct option is D.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
We are given that;
APR= 7.5%
Invest=$2000
Now,
We can use the formula for the future value of an annuity to find the amount we need to invest each month to have a total of $2000 at the end of the year:
FV = PMT × [(1 + r/n)^(n*t) - 1]/(r/n)
where:
FV = future value = $2000
PMT = monthly payment (unknown)
r = annual interest rate = 7.5% = 0.075
n = number of times interest is compounded per year = 12 (compounded monthly)
t = time in years = 1
Substituting the given values into the formula, we have:
2000 = PMT × [(1 + 0.075/12)^(12*1) - 1]/(0.075/12)
Simplifying this equation, we get:
PMT = 2000 × (0.075/12) / [(1 + 0.075/12)^(12*1) - 1]
PMT ≈ $173.46
we need to invest approximately $173.46 each month for a year to have a total of $2000 at the end of the year. The total amount invested will be:
Total amount invested = 12 × $173.46 ≈ $1932.12
Therefore, by the given interest answer will be $1932.12
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The average weight of an adult one horned male rhinoceros found in Nepal is about 21 quintal.
Answers
The average weight of an adult one-horned male rhinoceros found in Nepal is about 21 quintals. The scientific name for the one-horned rhinoceros is Rhinoceros unicorn is.
One-horned rhinoceroses are found in India, Nepal, Bhutan, and Indonesia. The one-horned rhinoceros is the largest animal in Nepal.
It can weigh up to 2,300 kg. Its body is covered in skin that looks like plates of armor. The one-horned rhinoceros is a herbivore, meaning it eats only plants.
They live in swamps, marshes, and forested areas near rivers, and they are excellent swimmers.
The one-horned rhinoceros has been endangered for many years due to poaching, habitat loss, and hunting.
The numbers of these animals have been increasing due to conservation efforts and strict laws in Nepal. The average weight of an adult one-horned male rhinoceros found in Nepal is about 21 quintals.
They are a protected species in Nepal, and there are several parks and conservation areas where they can be seen.
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Here is the complete question below:
The average weight of an adult one-horned male rhinoceros found in Nepal is about 21 quintal. Can you provide more information about the size, habitat, or any other relevant details regarding these rhinoceroses?
Question 2
Suppose that you want to design a set of four congruent square pyramids whose combined volume is the same as the volume of a single
rectangular pyramid. What values of land h for the four square pyramids and what values of I, w, and h for the rectangular pyramid will produce
Identical volumes? There is more than one correct answer.
Answers
The values of l and h for the four square pyramids and values of I, w, and h for the rectangular pyramid that will produce Identical volumes is w = 4l.
What is a square pyramid?In Mathematics and Geometry, a square pyramid can be defined as a type of pyramid that has a square base, four (4) triangular sides, five (5) vertices, and eight (8) edges.
In this scenario, the base areas of each geometric figures can be calculated as follows:
Square pyramid, A = L².
Rectangular pyramid, A = lw.
Where:
l represents the length of a rectangular prism.w represents the width of a rectangular prism.Since the four (4) congruent square pyramids has a combined volume that is the same as the volume of one rectangular pyramid, a relation for the dimension is given by:
4l²h/3 = lwh/3.
w = 4l.
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Answer:
Step-by-step explanation:
ben is a server at an all you can eat sushi restaurant. At one table, the customers ordered 2 child buffets and 2 adult buffets, which cost a total of $64. At another table, the customers ordered 2 child buffets and 1 adult buffet, paying a total of $44. How much does the buffet costfor each child and adult.
write and solve a system of equations to solve. Be sure to define your variables
Answers
Answer:
Step-by-step explanation:
These cards can be sorted into three pairs, where each pair adds to the same number. What is this number?
-8
0
-3
4
-1
-4
Answers
These cards can be sorted into three pairs, where each pair adds to the same number. The number is -5. The correct option is C.
What is an integer?An integer is a whole number that can be positive, negative, or zero and is not a fraction.
The addition of these following three pairs is given as follows:
-5 + 0 = -5.
-3 - 2 = -5.
-8 + 3 = -5.
Hence, we got three pairs of values from these cards, all cards are used, and all the additions result in -5, hence, this number is -5.
The addition of integers used in this problem is as follows: Two negatives: keep the signal and add the numbers, hence -3 - 2 = -5. Positive and negative: signal of bigger absolute value, find the difference, hence: -8 + 3 = -(8 - 3) = -5.
Therefore, the correct option is C. -5.
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Find fourconsecutive integers with the sum of 54
Answers
Answer:
They are 12, 13, 14 and 15.
Step-by-step explanation:
If the least integer is x, then:
x + x + 1 + x + 2 + x + 3 = 54
4x + 6 = 54
4x = 48
x = 12.
A rectangular deck is built around a square pool. The pool has side length s. The length of the deck is 5 units longer than twice the side length of the pool. The width of the deck is 3 units longer than the side length of the pool. What is the area of the deck in terms of s? write the expression in standard form.
Answers
The area of the deck in terms of s is 2s^2 + 7s + 15. The expression can be written in standard form as A = 2s^2 + 7s + 15.
The area of the deck can be expressed in terms of s using the standard form of a rectangular area equation, A = lw, where l is the length and w is the width. The side length of the pool is s and the length of the deck is twice the side length of the pool plus 5, or 2s+5. The width of the deck is 3 units longer than the side length of the pool, or s+3. Substituting these values into the area equation gives us:
A = (2s+5)(s+3)
A = 2s^2 + 7s + 15
Therefore, the area of the deck in terms of s is 2s^2 + 7s + 15.
The expression can be written in standard form as A = 2s^2 + 7s + 15.
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The area of the rectangular deck built around the square pool of side, s in terms of s is 2s² + 11s + 15.
Therefore the answer is 2s² + 11s + 15.
The pool has side length s. The length of the deck is 5 units longer than twice the side length of the pool, that is
l = 2s + 5
The width of the deck is 3 units longer than the side length of the pool, that is
b = s + 3
Deck is in rectangular shape, thus the area of the deck in terms of s can be calculates by
A = lb = (2s + 5)×(s + 3)
= 2s² + 6s + 5s + + 15
= 2s² + 11s + 15
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Suppose you have 20 pairs of socks, with each pair being a different color. You put them all in the washing machine. The washing machine eats four socks at random. What is the expected value for the number of complete pairs that make it out alive
Answers
The expected value for the complete pairs of socks that make it out alive from the washing machine is calculated based on the probability of losing a sock and the number of pairs. The expected value for the complete pair of socks is 2.
Let's denote the random variable X as the number of complete pairs of socks that make it out alive. To calculate the expected value of X, we need to consider the probability of losing a sock and the total number of pairs.
In this case, there are 20 pairs of socks, which means there are a total of 40 socks. The washing machine eats four socks at random, which means there will be 36 socks remaining.
The probability of losing a sock can be calculated by dividing the number of socks lost by the total number of socks. In this scenario, four socks are lost out of 40 socks, so the probability of losing a sock is 4/40 = 1/10.
To calculate the expected value, we multiply the probability of losing a sock by the total number of pairs. In this case, the expected value is (1/10) * 20 = 2.
Therefore, the expected value for the number of complete pairs of socks that make it out alive from the washing machine is 2.
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If two events, event a with probability p(a) and event b with probability p(b) are complementary events then __________.
Answers
If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.
P(A) + P'(A) = 1
The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.
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(6.4 x 104) + (2.1 x 104
Answers
Answer:
884
Step-by-step explanation:
Answer:
884
Step-by-step explanation:
solve for 6.4x104 and add to 2.1x104
Find the circumference of the circle. Use 3.14
The circumference is about ______cm
Answers
Find the GCF of each pair of numbers.
1) 6,15 ________
2) 30,48 __________
Find the LCM of each pair of numbers.
3) 6 and 9 _________
4) 12 and 30 ____________
KEY 240=i 3=g 18=d 30=e 20=t 60=l 6=a
_ _ _ _
#1 #2 #3 #4
Answers
Answer:
Okay, here are the GCF (Greatest Common Factor) and LCM (Lowest Common Multiple) for each pair of numbers:
6,15 ________
GCF = 3
30,48 __________
GCF = 30
6 and 9 _________
LCM = 18
12 and 30 ____________
LCM = 60
KEY:
240=i 3=g 18=d 30=e 20=t 60=l 6=a
#1 #2 #3 #4
Let me walk through the steps for each problem:
To find the GCF of 6 and 15:
Find all factors of 6: 1, 2, 3, 6
Find all factors of 15: 1, 3, 5, 15
The greatest common factor is 3.
The GCF of 30 and 48 is 30.
To find the LCM of 6 and 9:
Find all factors of 6: 1, 2, 3, 6
Find all factors of 9: 1, 3, 9
The lowest common multiple that contains all factors is 18.
The LCM of 12 and 30 is 60.
Does this help explain the steps and solutions? Let me know if you have any other questions! I can also show additional examples if needed.
Let me know if you understand the GCF and LCM concepts and are able to proceed to the key. I can explain that part in more detail.
Step-by-step explanation:
You have just signed up for a broadband home internet service that uses coaxial cable. which connector type will you most likely use?
Answers
Answer:
F type connector
Step-by-step explanation:
Use an F-type connector for broadband cable connections that use coaxial cable.
The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,
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F type connector
The F-connector is a coaxial RF connector commonly used for "wireless" terrestrial television, cable television, and common for satellite television and cable modems, usually with RG-6/U cable or with RG -59 / U.F connector is also known as threaded connector. There are two main types: 7mm (6.8mm) is the most common and used in coaxial cable, and 5mm connector is used in thin coaxial cable commonly used in satellite system.
The F-connector is an accessory that connects a coaxial cable to an electronic device or wall outlet.
Type F connectors are highly mechanical and electrically stable coaxial screw connectors for cable television (CATV), set-top boxes, cable modems and satellite television applications up to 4 GHz
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SOLVE THISSS (3x+6)/3=-1
Answers
Answer:
x = −3 TRUSSSSSSTTTT MEE
Step-by-step explanation:
A rectangle has an area of 590.4m2
One of the sides is 8.2m in length.
Work out the perimeter of the rectangle.
Answers
Answer:
hope this helps you
A farm stand sells apples pies and jars of applesauce. The table shows the number of apples needed to
make a pie and a jar of applesauce. Yesterday, the farm picked 245 Granny Smith apples and 133 Golden
Delicious apples. How many pies and jars of applesauce can the farm make if every apple is used?
Type of apple Granny Smith Golden Delicious
Needed for a pie
9
5
Needed for a jar of applesauce 4
2
The farm can make
pies and jars of applesauce.
Answers
Determine the LCM and HCF of 250 and 350
Answers
Answer:
Step-by-step explanation:
LCM: 1750
GCD: 50
PLEASE HELP
4 cans of orange juice and 7 cans of apple juice are in a sports bags what is the probability of drawing out one can of apple juice without looking? write your answer as a decimal rounded to two decimal places.
Answers
Answer:
1.36
total cans =11
the prob. of drawing orange juice can= 4/11
the prob of drawing apple juice can= 7/11
the prob of drawing any of the juice= 4/11 + 7/11
= 15/11
= 1.36
Find the value of a. Round
the nearest tenth.
Answers
Answer:
a = 24.0
Step-by-step explanation:
We can use the law of sines to solve
sin 150 sin 12
---------- = ----------
a 10
Using cross products
10 sin 150 = a sin 12
10 sin 150 / sin 12 = a
a=24.04867
To the nearest tenth
a = 24.0
Anybody know this I’ll give you 25 points and the answer is not D
Answers
Answer:
Most likely D, not sure if I am correct, this might not help
Step-by-step explanation:
In order to find the inverse of an equation, we first swap x and y. Then, we solve for y in the new equation.
\(y=x^2-5\\x=y^2-5\\x+5=y^2\\±\sqrt{x+5} =y\)
Ignore the A with a caret above it in the front, I don't know why it is there. I am not sure if I am correct, as I have only just completed Algebra 1 so I do not have good knowledge on mathematics.
What is the value of f(-1/4)?
Answers
Answer:
The x-value we need to substitute into the equation is -1/4.
When we substitute,
f(-1/4)=-8(-1/4)+4
f(-1/4)=2+4
f(-1/4)=6
:)