Answer:
Please find attached a drawing of the triangles ΔRST and EFG showing the angles
The angle on ΔEFG that would prove the triangles are similar is ∠F = 25°
Step-by-step explanation:
In order to prove that two triangles are similar, two known angles of each the triangles need to be shown to be equal
Given that triangle ∠R and ∠S of triangle ΔRST are 95° and 25°, respectively, and that ∠E of ΔEFG is given as 90°, then the corresponding angle on ΔEFG to angle ∠S = 25° which is ∠F should also be 25°
Therefore, the angle on ΔEFG that would prove the triangles are similar is ∠F = 25°.
Indicate whether the boundary line would be solid or dashed for the following inequality.
4x - 7y ≥ 15
Solid
Dashed
Answer:
It's soild.
Step-by-step explanation:
Because it's greater tha or equal to.
What is the size of angle a?
Answer:
60 degrees
Step-by-step explanation:
The total angles of a circle add up to 360 so to find a missing angle, subtract the figures already given from 60. The angles given total to (140+125+35) = 300. To find angle a, you subtract the 300 from 360. 360-300 = 60 degrees. Therefore, angle a is 60 degrees
Which statement correctly describes the translation of trapezoid P to create the image
Answer:
C. 8 units to the right and 5 units down
Step-by-step explanation:
Because if we move the trapezoidal to the right 8 times, then 5 units down. It becomes the image need it needs to be.
I hope this helps! I'm sorry if it's wrong.
Find the value of x. 25 X 10.5, 12 Gina Wilson (Al Things Algebro. LLC, and
The value of x using Pythagoras Theorem on the triangle is: 27.741
How to use Pythagoras theorem?Pythagoras Theorem is defined as the manner in which we find the missing lengths of a right angled triangle.
The triangle has three sides, namely the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).
Pythagoras theorem is in the form of;
a² + b² = c²
Using Pythagoras Theorem, we can find the smaller side of the triangle as:
y² = 12² - 10.5²
y = √(12² - 10.5²)
y = √33.75
y = 5.809
From the other triangle, we have:
x' = √(25² - 12²)
x' = √481
x' = 21.932
Thus:
x = 21.932 + 5.809
x = 27.741
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toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?
The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.
Amount of water that the bottle can hold = 32 ounces
Bottles of water consumed = 2
A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.
Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -
= w > 2 × 32
Therefore,
Simplifying the right side of the inequality:
w > 64
Complete Question:
Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?
a. w>2
b. 32<w
c. w = 64
d. 64<w
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What did lambert call the difference between the angle-sum of a triangle and 180 degrees?
Lambert calls the difference between the angle-sum of a triangle and 180 degrees the defect.
Who is Lambert?Johann Heinrich Lambert (26 or 28 August 1728 – 25 September 1777) was a polymath from the Republic of Mulhouse, generally referred to as either Swiss or French, who made significant contributions to mathematics, physics (particularly optics), philosophy, astronomy, and map projections. Lambert pioneered the use of hyperbolic functions in trigonometry. He also proposed theories about non-Euclidean space. Lambert is credited with being the first to demonstrate that is irrational by employing a generalized continued fraction for the function tan x. Euler believed the conjecture but was unable to prove it was irrational, and it is speculated that Aryabhata believed it as well in 500 CE. Lambert also developed theorems about conic sections that simplified the calculation of comet orbits.Lambert refers to the defect as the difference between the angle-sum of a triangle and 180 degrees.Therefore, Lambert calls the difference between the angle-sum of a triangle and 180 degrees the defect.
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Collin spent $34 on a new video game. How much money does he need to earn in order to have a net change of $0?
Define a function in Scheme that
returns True if a matrix (list of lists) is symmetric and returns
False otherwise.
Here's a Scheme function that checks whether a matrix is symmetric or not:
```scheme
(define (is-symmetric-matrix matrix)
(define (get-element matrix i j)
(if (null? matrix)
#f
(if (= i 0)
(if (null? (car matrix))
#f
(if (= j 0)
(car (car matrix))
(get-element (cdr matrix) i (- j 1))))
(get-element (cdr matrix) (- i 1) j))))
(define (is-matrix-symmetric-helper matrix i j)
(if (null? matrix)
#t
(if (equal? (get-element matrix i j)
(get-element matrix j i))
(is-matrix-symmetric-helper matrix i (+ j 1))
#f)))
(if (null? matrix)
#t
(is-matrix-symmetric-helper matrix 0 0)))
```
The function `is-symmetric-matrix` takes a matrix as an input, which is represented as a list of lists. It uses a helper function called `is-matrix-symmetric-helper` to compare each element of the matrix with its corresponding element in the transposed position. The `get-element` function is used to retrieve the element at position `(i, j)` in the matrix.
The `is-matrix-symmetric-helper` function recursively iterates over the matrix, comparing each element with its transposed element. If any pair of corresponding elements is found to be different, it immediately returns `#f` (False), indicating that the matrix is not symmetric. If it reaches the end of the matrix without finding any differences, it returns `#t` (True), indicating that the matrix is symmetric.
Finally, the main `is-symmetric-matrix` function first checks if the matrix is empty. If it is, it immediately returns `#t` since an empty matrix is considered symmetric. Otherwise, it calls the helper function with the initial indices `(0, 0)` and returns its result.
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Which of the following represents the eighth root of x to the fifth power in exponential form? (6 points)
5x^8
8x^5
x to the five eighths power x^(5/8)
x to the eight fifths power x^(8/5)
Answer:
\(x^{\frac{5}{8}}\)
Step-by-step explanation:
8th root of x to the power fifth. This means the power will be 5/8
\(x^{\frac{5}{8}}\)Your choice is correct .
after fitting a linear regression model to a dataset, the model's slope and intercept are -3 and 0 respectively. now, if we change our independent variable by adding 4.5 units to x, what is the absolute value of the change in the predicted value of dependent variable y?
The absolute value of change in the predicted value of dependent variable Y is 18.
Any variable whose value is influenced by an independent variable is said to be dependent. The thing that is measured or assessed in an experiment or mathematical equation is the dependent variable. The phrase "the outcome variable" is another name for the dependent variable.
Slope = b = -4
Intercept = a = -2.8
So, the equation of the regression line is
y = a + bx
y = -2.8 - 4x ...Equation 1
Now suppose the value of x is changed by adding 4.5
i.e. put x = x + 4.5
So,
y = -2.8 - 4(x + 4.5)
y = -2.8 -4x - 18 ...Equation 2
Comparing 1 and 2 ,
We get the predicted value of dependent variable Y as 18
Therefore The absolute value of change in the predicted value of dependent variable Y is 18
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c. find the mean, median, and standard deviation of heating degree days (hdd), broken down by season, for the california (code 0499). (ignore the first and last rows for the given location, the ones that contain -9999, the code for missing values.) round your answers to two decimal places, if necessary.
mean =1.532
median = 6.98
standard deviation = 3.5
mean for heating degree days and broken down by season for the california
according to the given values we find the mean
mean =
-1.45+ -2.5+-4.5+1.056+3.67+6.98+3.78+2.67+4.87+3.45+2.97+-4.06/12
=1.532
median for heating degree days and broken down by season for the california
according to the given values now we find the median
median = 6.98
standard deviation for heating degree days and broken down by season for the california
according to the given values now we find the standard deviation
standard deviation = square root of ∑(\(x_{i}\)- μ)^2/n
= 3.5
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which of the following questions would you use to evaluate alternatives in the third stage of the rational model of decision making?
Answer:
"What are the advantages and disadvantages of each alternative?" would be an appropriate question to evaluate alternatives in the third stage of the rational model of decision making.In the third stage, decision makers generate and evaluate alternative courses of action. They weigh the pros and cons of each alternative, considering factors such as feasibility, risks, costs, benefits, and consequences. By asking about the advantages and disadvantages of each alternative, decision makers can systematically compare and contrast their options, identify potential trade-offs, and select the best alternative based on their criteria and preferences.
Please Help me!!
I need this ASAP!!
Answer:
Step-by-step explanation:
let smaller be x
larger number is x+5
4x-3(x+5)=29
4x-3x-15=29
x=29+15=44
x=44
larger number is 49
what is 4/7 divided 10/21
Answer:
1 1/5; or 1.2;or 6/5
skip flip and multiply is the method I use and it’s where you disregard the first one flip the second one and multiply them both
4/7 x 21/10
84/70
1 14/70
1 1/5
Or
1.2
Or 6/5
Peter says, "If you subtract 14 from my number and multiply the difference by - 6, the result is - 90." What is Peter's number? Peter's number is
Answer:
29
Step-by-step explanation:
i think this is helpful
Translating the phrases into algebraic equation, peter's number would be: 29.
Representing Word Problems with Algebraic ExpressionsLet the unknown value be variable x, then translate the phrases given into algebraic expressions and solve for the unknown variable.
Let Peters number be x
Therefore:-6(x - 14) = -90
Solve for x
-6x + 84 = -90
-6x = -90 - 84
-6x = -174
Divide both sides by -6x = 29
Therefore, translating the phrases into algebraic equation, peter's number would be: 29.
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Find the value of x in the data given below if the mean is 2. The values are 2, 4, 1, 1, x, 3, 2
Answer:
\(\boxed{x=1}\)
Step-by-step explanation:
\(mean=\frac{sum \: of \: terms}{number \: of \: terms}\)
\(2=\frac{2+4+1+1+x+3+2}{7}\)
\(2=\frac{13+x}{7}\)
\(14=13+x\)
\(x=1\)
Find the calories in 25 potato chips if 10 potato chips contain 115 calories.
A. 140.5 calories
B. 287.5 calories
C. 230.0 calories
D. 250.0 calories
Answer:
b
Step-by-step explanation:
115 / 10 is 11.5
multiply 25 x 11.5
There are 287.5 calories in 25 potato chips. Therefore, option B is the correct answer.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, 10 potato chips contain 115 calories.
Number of calories in one potato chips = Total number of calories ÷ Number of calories
= 115/10
= 11.5 calories
Number of calories in 25 potato chips
= 25×11.5
= 287.5 calories
Therefore, the number of calories in 25 potato chips is 287.5 calories.
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The pavement at the new shopping mall is being laid. Which transformation is applied from brick A to brick B?
rotation
translation
dilation
reflection
Answer:
I WOULD SAY ITS rotaiton UWU
Rotation is the transformation applied from brick A to brick B.
We need to find which transformation is applied from brick A to brick B.
What is transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, line, or geometric figure.
Rotation in mathematics is a concept originating in geometry. Any rotation is a motion of a certain space that preserves at least one point. It can describe, for example, the motion of a rigid body around a fixed point.
Brick A rotated 90° to brick B.
Therefore, rotation is the transformation applied from brick A to brick B.
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A grocer mixes trail mix that costs $3.00 per pound with trail mix that costs $1.50 per pound. He makes 15 lb of trail mix that costs $2.50 per pound. How much of each trail mix did the grocer use?
HELP ASAP ITS DUE IN LIKE 10 MINS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The grocer used 10 lbs of trail mix that costs $3.00 per pound and 5 lbs of trail mix that costs $1.50 per pound.
What is the number of each mix?The number of each trail mix used by the grocer is calculated as follows
Let the trail mix that costs $3.00 per pound = x
Let the trail mix that costs $1.50 per pound = y
x + y = 15 ---- (1)
3x + 1.5y = 2.5(15)
3x + 1.5y = 37.5 ------- (2)
From equation (1), y = 15 - x
Substitute the value of x as follows;
3x + 1.5(15 - x) = 37.5
3x + 22.5 - 1.5x = 37.5
1.5x = 15
x = 15/1.5
x = 10
Substituting x = 10 in equation 1, we get:
10 + y = 15
y = 15 - 10
y = 5
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A ____ has a positive charge.
Answer:
Proton
Step-by-step explanation:
The charge on the proton and electron are exactly the same size but opposite. Neutrons have no charge. Since opposite charges attract, protons and electrons attract each other.
Hope this helps you luv!
it is fair to say that the ucr is: group of answer choices a mutually exclusive measure not a truly reliable measure an exhaustive measure all of the above
The UCR (Uniform Crime Reporting) is B. not a truly reliable measure.
The UCR is a program established by the FBI in 1930 to collect and analyze crime statistics from law enforcement agencies across the United States. Although it provides useful data and insights into crime trends, it is not without its limitations. One significant issue with the UCR is that it relies on voluntary reporting from law enforcement agencies, meaning that some areas may not provide complete or accurate data. This can lead to an underrepresentation of certain crimes or inconsistencies in reporting across jurisdictions.
Another limitation is that the UCR only includes reported crimes, excluding any unreported criminal activity. This means that the data does not necessarily provide a comprehensive picture of all crimes occurring in a given area. Additionally, the UCR uses a hierarchy rule, meaning that if multiple crimes are committed during a single incident, only the most severe crime is counted. This can result in an undercounting of less severe but still significant crimes.
In summary, although the UCR provides valuable information on crime trends and patterns, it is not a truly reliable measure due to its reliance on voluntary reporting, exclusion of unreported crimes, and hierarchy rule. Therefore, the correct option is B.
The question was incomplete, Find the full content below:
it is fair to say that the ucr is: group of answer choices
A. A mutually exclusive measure
B. Not a truly reliable measure
C. An exhaustive measure
D. All of the above
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Jackie played the drums in the band. If he beat the drum at a rate of 110 beats per minute, how many beats would he play in minutes?
Answer: 110
Step-by-step explanation:
Answer:
in 2 minutes he would play 220 beats
Step-by-step explanation:
If 8 large bagels are shared equally
among 3 people, how many bagels
does each person get? Explain.
Answer:
2.6 each
Step-by-step explanation:
because the amount of bagels shared arn't equal, So you have to tear apart 2
Answer:
No. of bagels = 8
No. of people = 3
Bagels for each person = ?
Bagels for each person = 8/3 = 2.6
Each person gets about 2.6 bagels.
Marc, a single taxpayer, earns $260,000 in taxable income and $8,000 in interest from an investment in city of Birmingham bonds. Using the U.S. tax rate schedule for year 2021, what is his current marginal tax rate
Marc's current marginal tax rate can be determined by referring to the U.S. tax rate schedule for the year 2021 based on his taxable income.
To calculate Marc's current marginal tax rate, we need to look at the U.S. tax rate schedule for the year 2021. The tax rate schedule consists of several tax brackets, each with its corresponding tax rate. As taxable income increases, individuals move into higher tax brackets and are subject to higher tax rates. Based on Marc's taxable income of $260,000, we would need to refer to the tax rate schedule to determine his marginal tax rate. As the exact tax rates within the brackets can vary, it's important to consult the specific tax rate schedule for the given year.
By locating the corresponding tax bracket for $260,000 in taxable income, we can identify the applicable tax rate. Marc's current marginal tax rate would be the tax rate associated with the bracket that includes his interest.
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"Study Proves Number Bias in UK Lottery" reported on the internet about a document completed in 2002, "The Randomness of the National Lottery," which was meant to offer irrefutable proof that it was random. But the authors hit a snag when they found that one numbered ball, 38, was drawn so often that they believed there was bias in the selections, perhaps due to a physical difference in the ball: "Haigh and Goldie found that over 637 draws you would expect each number to be drawn between 70 and 86 times. But they found that 38 came up 107 times, 14 times more than the next most drawn ball. 'That is very unusual-the chance is under 1%.'"
were the authors correct that the chance is under 1%
a spokesperson defending the lotteries Randomness criticized the author's conclusion if you travel through an awful lot of data you are always going to uncover patterns somewhere in her statement consistant with the desicion making processes of the hypothesis testing?
The authors of "The Randomness of the National Lottery" completed in 2002 hit a snag when they found that one numbered ball, 38, was drawn so often that they believed there was bias in the selections.
Haigh and Goldie found that over 637 draws, each number should be drawn between 70 and 86 times. But they found that 38 came up 107 times, 14 times more than the next most drawn ball. The chance that a particular number was drawn more than 107 times in 637 draws was less than 1%.
Therefore, the authors were correct that the chance is under 1%.A spokesperson defending the lotteries randomness criticized the author's conclusion by saying that if you travel through an awful lot of data, you are always going to uncover patterns somewhere in her statement. Her statement is consistent with the decision-making processes of the hypothesis testing.
Therefore, it is entirely reasonable to suggest that the authors' approach was correct. There are always going to be anomalies in a lottery drawing that may or may not be a result of some kind of fraud. However, the fact that 38 was drawn more often than expected is highly suggestive of something that is out of the ordinary.
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WRITE IN PROPER ROUNDED FORM m = 14.24706 grams, m δ m = 0.003 grams. (uncertainty) M = 7.35 kg m δ m = 4*10-1kg (uncertainty) (show all work)
The rounded form of m is 14.25 grams with an uncertainty of 0.003 grams, and the rounded form of M is 7.35 kg with an uncertainty of 0.4 kg.
To express the value of m with the appropriate uncertainty, we round the value to the desired decimal place. Since the uncertainty is given as 0.003 grams, we round the value of m to the hundredth decimal place. The digit in the thousandth decimal place (0.006) is greater than 5, so we round up the hundredth decimal place, resulting in 14.25 grams.
Similarly, to express the value of M with the appropriate uncertainty, we round the value to the desired decimal place. The uncertainty is given as 0.4 kg, so we round the value of M to the tenths decimal place. The digit in the hundredths decimal place (0.05) is greater than 5, so we round up the tenths decimal place, resulting in 7.35 kg.
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Solve by completing the square: x^2+3x-9=0
Step-by-step explanation:
x=-4.854 or x=1.854
hope this helps
Answer:
C edge 2020
Step-by-step explanation:
i got it right on the practice.
wright the ratio in simplest form 1/3
Answer:
1/3
Step-by-step explanation:
how many terms are in the given expression 7x+5w+23t+3
Answer:
4
Step-by-step explanation:
7x 5w 23t 3
Does the fraction 1/2 make the equation +6/6=3/2 true?
Answer:
Yes
Step-by-step explanation:
1/2 + 6/6
= (1*3)/(2*3) + 6/6
= 3/6 + 6/6
= 9/6
= 3/2
So the fraction 1/2 make the equation true.
Let's check
\(\\ \rm\Rrightarrow 6/6+1/2\)
\(\\ \rm\Rrightarrow 1+1/2\)
\(\\ \rm\Rrightarrow 2+1/2\)
\(\\ \rm\Rrightarrow 3/2\)
Yes true