Answer:1
Step-by-step explanation:
person credits
It is given that and are right angles, and . Since they contain right angles, ΔABR and ΔACR are right triangles. The right triangles share hypotenuse , and reflexive property justifies that . Since and , the transitive property justifies . Now, the hypotenuse and leg of right ΔABR is congruent to the hypotenuse and the leg of right ΔACR, so by the HL congruence postulate. Therefore, ________ by CPCTC, and bisects by the definition of bisector.
THIS IS THE COMPLETE QUESTION BELOW;
Complete the paragraph proof. Given: ∠ABR and ∠ACR are right angles AB ≅ BC BC ≅ AC Prove: bisects ∠BAC
It is given that ∠ABR and ∠ACR are right angles, AB ≅ BC and BC ≅ AC Since they contain right angles, △ABR and △ACR are right triangles. The right triangles share hypotenuse AR, and reflexive property justifies that AR ≅ AR. Since AB ≅ BC and BC ≅ AC, the transitive property justifies AB ≅ AC. Now, the hypotenuse and leg of right △ABR is congruent to the hypotenuse and the leg of right △ACR, so △ABR ≅ △ACR by the HL congruence postulate. Therefore, by CPCTC, and bisects ∠BAC by the definition of bisector.
Answer:
The answer is ∠BAR=∠CAR
Step-by-step explanation:
From the question, In the ΔABR and ΔACR , AB=AC=X
CHECK THE ATTACHMENT FOR DETAILED STEP BY STEP EXPLANATION:
Answer:
A) <BAR = <CAR
Step-by-step explanation:
Edge
Distributive property
6(1+5)
HELP!! Kate gets a paycheck twice a month. Every month, a total of $345.67 is deducted from her paychecks for taxes. If she has received 7 paychecks so far this year, which best represents the total effect the taxes have had on the amount she has earned??
–$2,419.69
–$1,209.85
$1,209.85
$2,419.69
The answer is 2,419.69
Answer:
d
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compatible numbers are used to estimate this sum. 181 204 which estimate is the most accurate? responses 350 350 375 375 425 425 450
The most accurate estimated sum of 181 and 204 is 380
The given numbers are 181 and 204
The compatible numbers are defined as the numbers that are easy to do the arithmetic operations. The arithmetic operations are addition, subtraction, division and multiplication etc.
To find the sum of the compatible numbers first we have to round the given numbers to the nearest tens or hundreds and do the the arithmetic operation
Round 181 to the nearest tens = 180
Round 204 to the nearest tens = 200
Then the sum of compatible numbers will be
180 + 200 = 380
Therefore, the most accurate estimation is 380
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let a chip be taken at random from bowl that contains 6 white chips , 3 red chips,and 1 blue chip. let random variable X=1 if the outcome is whit chip, let x=5 if the outcome is a red chip and let x= 10 if the outcome is blue chip.
1- find the p.s.f of X
2- Graph the p.m.f as bar graph
1- As per the probability, The P.S.F of X is 1, 5, and 10
2- The Graph of the PMF as bar graph is illustrated below.
To find the probability mass function (p.m.f) of X, we need to determine the probability of each possible value of X.
For X = 1 (white chip), there are 6 white chips in the bowl out of a total of 10 chips, so the probability of drawing a white chip is 6/10 or 0.6. Therefore, P(X=1) = 0.6.
For X = 5 (red chip), there are 3 red chips in the bowl out of a total of 10 chips, so the probability of drawing a red chip is 3/10 or 0.3. Therefore, P(X=5) = 0.3.
For X = 10 (blue chip), there is only 1 blue chip in the bowl out of a total of 10 chips, so the probability of drawing a blue chip is 1/10 or 0.1. Therefore, P(X=10) = 0.1.
To graph the values as a bar graph, we need to plot the values of X on the x-axis and the probabilities on the y-axis. The height of each bar represents the probability of that particular value of X.
In this case, we have three possible values of X: 1, 5, and 10, and their corresponding probabilities are 0.6, 0.3, and 0.1, respectively.
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The number of observations in a complete data set having 10 elements and 5 variables is _____ ... a. data b. variables c. elements d. variables and elements.
The number of observations in a complete data set with 10 elements and 5 variables is a. data.
In the context of data analysis, a complete data set refers to a collection of data that includes all the required observations or cases. In this scenario, the data set consists of 10 elements, which represent the individual observations or data points. Each element is associated with 5 variables, which are the characteristics or attributes being measured or observed.
Therefore, the number of observations in this data set is determined by the number of elements, which is 10. The term "observations" refers to the individual data points or cases in the data set. The other options, such as "variables" and "elements," do not accurately represent the count of observations in this context.
Hence, the correct answer is a. data, indicating that the number of observations in the complete data set is determined by the number of elements, which in this case is 10
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in an isosceles triangle, one base angle measures 60 degrees. what is the measure of the third angle?
Therefore, the measure of the third angle in this isosceles triangle is 60 degrees.
By definition, an isosceles triangle has two sides of equal length, and in this case, two congruent base angles. The third angle, which is not part of the base, is opposite the third side of the triangle.
Since the sum of the measures of the angles in any triangle is always 180 degrees, we can use this fact to find the measure of the third angle in the isosceles triangle. We know that one of the base angles measures 60 degrees, and since the other base angle is also congruent, it also measures 60 degrees. Therefore, the total measure of the base angles is 60 degrees + 60 degrees = 120 degrees.
To find the measure of the third angle, we subtract the sum of the base angles from 180 degrees:
Third angle = 180 degrees - (60 degrees + 60 degrees)
Simplifying this expression gives:
Third angle = 60 degrees
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Help me please thank u for helping me
Answer:
d
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
x=1/4
the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year
The rate of change of the annual u.s. factory sales in 2000 is 7.7 billion dollars per year
How to calculate the rate of changeFrom the question, we have the following parameters that can be used in our computation:
s(t) = 0.12t² − t + 5.7
In 2000, we have the value of t to be
t = 2000 - 1990
Evaluate
t = 10
So, we have
s(10) = 0.12 * 10² − 10 + 5.7
Evaluate
s(10) = 7.7
Hence, the rate in 2000 is 7.7 billion dollars per year
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Question
the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year
Calculate the rate of change in 2000
a square has side lengths of 4 feet. if the dimensions are tripled, how much larger will the area of the new square be than the area of the original square? three times nine times six times the area won't change.
The area of the new square is 128 square feet larger than the area of the original square.
When the side lengths of a square are tripled, the new square will have side lengths of 12 feet (4 feet multiplied by 3). To find the area of the original square, we use the formula A = s^2, where A is the area and s is the side length. Thus, the area of the original square is 4^2 = 16 square feet.
Similarly, the area of the new square with side lengths of 12 feet is 12^2 = 144 square feet. To determine how much larger the area of the new square is than the area of the original square, we subtract the area of the original square from the area of the new square: 144 - 16 = 128 square feet.
Therefore, the area of the new square is 128 square feet larger than the area of the original square. This means that the new square is three times nine times six times larger in terms of area compared to the original square.
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Do the math: the price of iron ore can be measured per ton. a ton is about the
weight of a cow. if the price of 1 ton of iron ore starts at $104 per ton with a
quantity demanded of 90 tons, then rises to $211 per ton, what is the new quantity
demanded at this price? assume the slope of the demand curve is -3.2 and the
y-intercept is $392. round your answer to the nearest tenth of a ton.
Answer:
Step-by-step explanation:
56.6 tons.
Based on the slope of the demand curve and the new price of iron ore, the new quantity demanded at the new price of $211 is 49.60 tons
What is the new equilibrium quantity demanded?The equation given will allow us to find the new quantity demanded:
y = Mx + c
y = new quantity demanded
m = slope of the demand curve
x = change in price of iron ore
c = y intercept
Solving for the new quantity demanded at the new price gives:
= -3.2 x (211 - 104) + 392
= -342.40 + 392
= 49.60 tons
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Is y=2x-1 a function?
Answer:
It is a function.
Step-by-step explanation:
By definition, a function relates each element in the domain to only one element in the range. This means that each vertical line you draw through the x-axis can intersect the function at only one point. ... y = 2x +1. This is the equation of a straight line with slope 2 and y-intercept 1, so it is a function.
A linear function is two distinct but related notions. So, y=2x-1 is also a linear function.
Five Questions FIFTY POINTS...look please don't just get this points I really need help in math rn. tysm for your help really need it..no links please..
Question 1
Solve.
−3 2/3=x−1 1/4
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
Question 2
Solve.
x − (−2 5/6)= −1/5
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
Question 3
Solve.
−3 2/3x=−2 1/5
What is the solution to the equation?
Enter your answer as a simplified fraction in the box.
Question 4
Solve for m.
−3/7m=12
m=−28
m=−26
m = 26
m = 28
Question 5
Solve for b.
−1/3b=9
b=−27
b=−3
b = 3
b =27
Answer:
1 = −3 2/3 = − 1 1 / 4
2 = − (−2 5/6) = −1/5
3 = −3 2/3 = −2 1/5
4 = -28
5 = -27
You're welcome.
Answer:
1 = −3 2/3 = − 1 1 / 4
2 = − (−2 5/6) = −1/5
3 = −3 2/3 = −2 1/5
4 = -28
5 = -27
Step-by-step explanation:
The function f isdifferentiable on the closed interval [-6,5] and satisfies f(-2)=7. The graph of f’ consists of a senicircle and three line segments, as shown in the figure. a)Find the values of f(-6) and f(5). b)Find the absolute minimum value of f on the closed interval. Justify your answer. d)For each of f’’(-5) and f’’(3), find the value or explain why it does not exist.
Answer:
Step-by-step explanation:
lol sorry
Need ASAP! Choose the numbers that are irrational. 1. 0. 87 repeating 2. 3.624 3. √2 4. 0. 6 repeating 5. -5 6. 1 over 3 7. Pi. I couldn't use the symbol
Answer:
1, 3, 7
Step-by-step explanation:
A rational number can be written as a ratio or fraction.
1) I wasn't able to determine a fraction for what I'm assuming you meant by 0.878787878787 going on and on so it must be irrational
2) 3.624 can be written as 3 78/125
3) The square root of two is irrational
4) 0.6666666 going on and on can be written as 1/3
5) -5.6 can be written as a fraction too
6) 1/3 is already a fraction
7) Pi is irrational
Hope that helps!
find the surface area
Answer:
70 inches²
Step-by-step explanation:
We can break this shape up into 5 different shapes.
Two triangles, and three rectangles.
The three rectangles will be A = L * W and are all the same size,
A = L * W
A = 3(L * W)
A = 3(10 * 2)
A = 3(20)
A = 30 inches²
Now, we need to find the area for the two triangles. Usually, you would take the base times the height and divide by two, but since we have two triangles of the same size we do not need to divide by two,
A = B * H
A = 10 * 4
A = 40 inches²
Last, we will add the two areas for the triangles and rectangles together,
40 inches² + 30 inches² = 70 inches²
Bob and Anna are planning to meet for lunch at Sally's Restaurant, but they forgot to schedule a time. Bob and Anna are each going to randomly choose from either 1\text{ p. M. }1 p. M. 1, start text, space, p, point, m, point, end text, 2\text{ p. M. }2 p. M. 2, start text, space, p, point, m, point, end text, 3\text{ p. M. }3 p. M. 3, start text, space, p, point, m, point, end text, or 4\text{ p. M. }4 p. M. 4, start text, space, p, point, m, point, end text to show up at Sally's Restaurant. They must both choose exactly the same time in order to meet. Bob has a "buy one entree, get one entree free" coupon that he can only use if he meets up with Anna. If he successfully meets with Anna, Bob's lunch will cost him \$5$5dollar sign, 5. If they do not meet, Bob's lunch will cost him \$10$10dollar sign, 10. What is the expected cost of Bob's lunch?
The expected cost of Bob's lunch is $9.69, rounded to the nearest cent.
To figure out the probability of Bob and Anna successfully meeting up, we need to use a unitary method. The probability of Bob choosing a specific time is 1/4, and the probability of Anna choosing the same time is also 1/4. Since they both need to choose the same time, we can multiply their individual probabilities to find the probability of them meeting up:
1/4 x 1/4 = 1/16
This means that the probability of Bob and Anna successfully meeting up is 1/16 or 0.0625.
Now we can use this probability to find the expected cost of Bob's lunch. If Bob and Anna meet up, Bob will get a discount on his lunch and pay $5. If they don't meet up, he'll have to pay the full price of $10. So the expected cost of Bob's lunch is:
(Probability of meeting up x Cost if they meet) + (Probability of not meeting up x Cost if they don't meet)
(1/16 x $5) + (15/16 x $10) = $0.3125 + $9.375 = $9.69
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Suppose u and v are mutually exclusive events and p(u)=0.26 and p(v)=0.37 find p(u and v) find p(u | v) find p(u or v)
The values of the probabilities are P(u or v) = 0.63, P(u and v) = 0 and P(u|v) = 0
How to evaluate the probabilities?The probabilities are given as:
P(U) = 0.26
P(V) = 0.37
For mutually exclusive events, we have
P(u or v) = P(u) + P(v)
So, we have
P(u or v) = 0.26 + 0.37
P(u or v) = 0.63
Also, we have:
P(u and v) = 0
Finally, we have:
P(u|v) = 0
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In 14 days the daily high temperature in cedar hills dropped by 16.8 degrees Fahrenheit what is the average daily rate of change in the high temperature in degrees Fahrenheit
Answer:
1.2°F
Step-by-step explanation:
Given that:
The drop in temperature in degree Fahrenheit over a period of 14 days = 16.8
The average daily rate of change in degwrr Fahrenheit ;
Total drop in temperature / number of days
= 16.8°F / 14
= 1.2°F
Hence, the average daily drop in temperature is 1.2°F
Answer:
12 degress
Step-by-step explanation:
Which of the following is not a characteristic of a point?
Simplify: (use ^ for exponents, use * for multiplication)
x∗5∗x∗x∗x
Answer: 5x^4
Step-by-step explanation: When simplifying combine like terms, in this case all X's will be combined together to make x^4, the 5 would be left alone.
x*5*x*x*x= 5 * x*x*x*x = 5x^4
what is 55 + (12-4) ÷ 5
Answer
56.6
Explanation
To solve this, we will use one of the principles for the order of operations.
55 + (12 - 4) ÷ 5
BODMAS or PEMDAS indicates that the expression in the bracket is simplified first before the multiplication or division, then, the addition or subtraction follows.
So,
55 + (12 - 4) ÷ 5
= 55 + 8 ÷ 5
= 55 + 1.6
= 56.6
Hope this Helps!!!
Let the function P be defined by P(x) = x³ +7x² - 26x - 72 where (x+9) is a
factor. To rewrite the function as the product of two factors, long division was used
but an error was made:
x² + 16x + 118
x+ +9)x³ +7x² −26x - 72
-x³ +9x²
16x² - 26x
-16x² + 144x
118x - 72
-118x + 1062
990
The remainder would be 12 as per the remainder theorem if the function P is defined by P(x) = x³ +7x² - 26x - 72.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
Let P(x) = x³ +7x² - 26x - 72 ...(i)
Divisor = (x+9)
Apply remainder theorem,
x + 9 = 0
x = -9
Substitute the value of x = -9 in equation (i),
⇒ P(-9) = (-9)³ +7(-9)² - 26(-9) - 72
⇒ P(-9) = (-729) +7(81) - 234 - 72
⇒ P(-9) = -729 + 567 - 234 - 72
⇒ P(-9) = -468
Therefore, the remainder would be -468.
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Solve the equation. u+3=7
Answer: 4
Step-by-step explanation:
u+3=7
u=7-3
u=4
Suppose you are given two sets A and B, each containing n positive integers. Youcan choose to reorder each set however you like. After reordering, leta, be the ith element in A, and by be the ith element in B. You will receive a payoff ofaba) If you reorder A and B into monotonically decreasing order, consider any indices i and j such that i < j, which of the two combinations has higher value: aibj +aibj or aibj + biaj? Prove your answer. Based on this, describe the optimal way of reordering that maximizes your payoff
The running time is O(n log(n)) since we sort two vector.
We solve the problem with the following algorithms:
1. Order A is in the increasing order.
2. Order B is in the decreasing order.
3. Return (A,B).
We must demonstrate that this is the best answer. without sacrificing generality, we can assume that a₁ ≤ a₂ ......≤ aₙ in the optimal solution.
Since the payoff is \(\prod_{i}^{n}=1^{a_{i}^{bi}}\), the payoff will always increase if we make a change so that \(b_{i+1} > b_{i}\).
Therefore the optimal solution will be found if B is sorted.
Thus, the running time is O(n log(n)) since we sort two vector.
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which of the following are equation for the line shown below.(-2,4) and 1,-5)
please help me will give you brainliest!!
Answer: Yes, No Yes, No
Help me plz. Thank you!
Answer:
answer:
f(320)= how much Dereck pays for phone service if he calls 320 minutes.
F(320)=0.11(320)+43=35.2+43=78.2
Answer: the value of f(320) is $78.2 and it will be the cost of phone service for 320 minutes of international calls.
Step-by-step explanation:
which is not one of the three v's of big data?
The Three V's of Big Data are Volume, Velocity, and Variety. While "Volume" is an important characteristic of big data, it is not considered one of the Three V's because it is not unique to big data. So option (4) is correct.
There are many other characteristics of big data that have been proposed, but the Three V's are the most widely recognized and used
The "Three V's of Big Data" is a well-known concept that refers to the defining characteristics of big data. These three V's are Volume, Velocity, and Variety. They describe the main challenges that organizations face when dealing with big data, and how they can be overcome.
A common misconception is that there are only three V's of big data, but in reality, there are more than three. Some additional V's that have been proposed include Veracity, Value, Variability, and others.
However, there is one common concept that is often mentioned in discussions of big data, but is not considered one of the V's. This concept is "Volume." While "Volume" is certainly a key characteristic of big data, it is not considered one of the Three V's because it is not unique to big data. All types of data, whether big or small, can be large in volume.
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Complete Question:
which is not one of the three v's of big data?
VibrantVitalVisibleVolumeThe GCF of 14 and 42 is 2. True or False
The GCF of 16 and 56 is 8. True or False