The information that must be true to prove that both triangles are congruent by triangles congruent by the AAS theorem is: A. ∠B ≅ ∠E.
What is the AAS Congruence Theorem?The AAS congruence theorem states that if two pairs of corresponding angles and a pair of non-included sides of two triangles are congruent, then both triangles are congruent triangles.
We are given the following:
∠A ≅ ∠D (one pair of congruent angles)AC ≅ DF (one pair of congruent)What will make both triangles congruent by AAS theorem is: A. ∠B ≅ ∠E.
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The graph shows a proportional relationship, y = kx
HURRY ASAPPPPP
What is the constant of proportionality, k?
Answer:
if you pay attention when x = 1 y=4 and when x=2 y=8, then the proportionality constant is equal to 4
Step-by-step explanation:
Dylan and Eric were the lead scorers in a basketball game. Dylan scored p points in the second period of the game. Eric scored as many points as Dylan in the same period of the game. a) Write an expression for Eric's score in terms of p. points b) If Dylan scored 18 points in the second period, how many points did Eric score?
I think the answers 3048_&8_9_)_)_
8. Given
A=
2 1 -3 1
-2 1 1 -3
1 -1 -3 4
3 3 -4 -4
V=[3]
[1]
[2]
[1]
Is the vector ve Nul A and v e Col A?
Answer:
-3,694
I am not sure what in the world the rest means, so I am very sorry. I just subtracted some stuff. I have no clue if that helped...
Which of the following describes a correct process for solving the equation 3(x + 6) = 21 and arrives at the correct solution? (1 point)
Divide both sides of the equation by 3, and then subtract 6 from both sides of the equation. The solution is x = 1.
Subtract 6 from both sides of the equation, and then divide both sides of the equation by 3. The solution is x = 5.
Distribute the 3, subtract 6 from both sides of the equation, and then divide both sides of the equation by 3. The solution is x = 5.
Add 6 to both sides of the equation, and then divide both sides of the equation by 3. The solution is x = 9.
Answer:
1st answer indeed
Step-by-step explanation:
ok so the steps are included in the given answer. hope you can figure it out. if not let me know. (:
Solving a word problem on proportions using a unit rate
Dante drove 871 miles in 13 hours.
At the same rate, how long would it take him to drive 603 miles?
which is equal to (sinx+cosx)^2+(sinx-cosx)^2 using identities?
The expression (sinx + cosx)^2 + (sinx - cosx)^2 simplifies to
4 + 2sinxcosx.How to simplify the identityTo simplify the expression (sinx + cosx)^2 + (sinx - cosx)^2 using trigonometric identities, we can expand and simplify the expression.
Expanding the squared terms
(sin^2x + 2sinxcosx + cos^2x) + (sin^2x - 2sinxcosx + cos^2x)
Using the trigonometric identity sin^2x + cos^2x = 1, we can simplify further:
(1 + 2sinxcosx + 1) + (1 - 2sinxcosx + 1)
Simplifying the expression, we have:
2 + 2sinxcosx + 2
Combining like terms, we get:
4 + 2sinxcosx
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Vincent watched 10 episodes of Fortnite online in 2.5 hours. He spent the same of time watching each episode. What is the unit rate of hours to episodes?
each video is 15 minutes long
Step-by-step explanation:
i will give Brainiest if your right
-Ready
Miguel has a stick that is yd long. He cuts it into pieces, as shown in the model.
3
+
0
Divide Fractions: Whole-Number Quotients Instruction-Level F
?
Complete the statement about the model.
-The model shows that there are
?
pieces that are each
2/3
?
yd long.
The length of each part of the stick cut by Migual is obtained as 2/12 yd.
Explain about the term Fractions?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.Miguel has a 2/3 yd long stick.
He cuts it into 4 equal pieces.
So, the length of each part is obtained as:
Each part length = total length / number of pieces.
Each part length = 2/3 / 4
Each part length = 2/(3*4)
Each part length = 2/12 yd.
Thus, the length of each part of the stick cut by Migual is obtained as 2/12 yd.
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The correct question is attached.
A: Find the length of each part.
Roulette is a casino game that involves spinning a ball on a wheel that is marked numbered squares that are red, black, or green. Half of the numbers 1 - 36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. What is the probability of landing on a green space
Answer:
1/19
Step-by-step explanation:
There are a total of 36+2 = 38 spaces
2 are green
P(green) = green / total
= 2/38
=1/19
.052631579
Please help me. Expert only. Right answer only.
Answer:
241.2
Step-by-step explanation:
Divide 201 by 10
\(201/10=20.1\)
Multiply 20.1 by 12
\(20.1 * 12 = 241.2\)
The answer is 241.2
Which of the following is an integer?
O 9.1
0-6
0 -2.3
-O
Answer:
The answer is -6
Step-by-step explanation:
What is the value of x in this proportion? 5/6=−4x/+2 x=−2 4/5 x=−4 2/5 x=−5 1/5 x=−6 4/5
Answer:
x= -4 2/5
Step-by-step explanation:
firstly cross multiply 5/6=-4x/+2
5×+2=6×-4x
10=-24x
make x subject of formula
10/-24= ans
hope this helps
please rate brainliest!
Answer: The correct answer is -6 4/5
Step-by-step explanation: The other answer provided is incorrect and this was confirmed on the test.
Sam is framing a closet under a stairway. The stairway is 20 ft 6 in. long, and its angle of elevation is 31º. Find the depth of the closet to the nearest inch.
Answer:
The depth is 127 inches.
Step-by-step explanation:
The stairway and its depth can be compared to a right angled triangle. Let the depth be represented by d.
But,
12 inches = 1 foot
20 ft 6 in = 20 + \((\frac{6}{12} )\)
= 20.5 feet
So that applying the appropriate trigonometric function, we have;
Sin θ = \(\frac{opposite}{hypotenuse}\)
Sin 31º = \(\frac{d}{20.5}\)
d = 20.5 x Sin 31º
= 20.5 x 0.5150
d = 10.5575
d ≅ 11 feet
Therefore,
d = 10.5575 feet = (10.5575 x 12) inches
= 126.69 inches
The depth is 127 inches.
12. Abby bought one package of cookies that weighed 24 ounces and another package that weighed 1 pound 8 ounces. How many pounds is the combined weight of their cookies?
PLEASE DUE TOMORROW!!!
Answer:
3 pounds
Step-by-step explanation:
for this we need to understand the relation between pounds and ounces
the relation is for every pound there is 16 ounces, with this we can then use this info to solve the problem as shown
24oz + 1bl 8oz
reduce all units to the same level of measurement
24oz + 1bl 8oz
24oz + (16oz + 8oz)
then add like terms
24oz + (16oz + 8oz)
24oz + 24oz
and again...
24oz + 24oz
48oz
now all we do is divide the new total by 16 to get the poundage
48oz / 16
3bl
so the answer is 3 pounds
ill attach a pic of a kitchen measurements conversion chart for you to use in all your schooling ^^ hope this helps
NOTE: for pounds, ounces, milligrams etc.. you will look in the DRY MEASUREMENTS section
helpppppppppppppppppppppppppppppppppppppp
Answer:
the last one
Step-by-step explanation:
there is no rhythm
It is just long text .This is 8 grade . inequalities .I need just equitation .The rest I knew .
So short answer pls. Anybody
Thank you
My recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs. This combination offers the highest profit potential based on the given prices and costs.
How to explain the informationIn order to maximize their profit, Carlos and Clarita should choose the combination of cats and dogs that yields the highest total profit.
In order to make a reasonable recommendation, we can create a profit table based on different values of x and y:
x y Total Profit
0 0 0
1 0 6
0 1 15
1 1 21
2 1 27
1 2 30
2 2 36
3 2 42
2 3 45
3 3 51
From the table, we can see that the highest total profit is achieved when they accommodate 3 cats and 3 dogs. This combination would result in a daily profit of $51.
Therefore, my recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs.
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What are the steps in solving rational expressions?
The steps in solving two rational numbers is using the cross multiplication method and then do the arithmetic operation on the numerator
The rational expression is defined as the expression with both numerator and denominator has polynomials.
Consider two rational expressions
Add two expression using cross multiplication
a/b + c/d
Cross multiply the expression
a/b + c/d = (ad + cb) / bd
Subtract two expression using cross multiplication
a/b - c/d
Cross multiply the expression
a/b + c/d = (ad - cb) / bd
Therefore, the two rational expression can be solved by using the cross multiplication method and do the arithmetic operation
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Explain how to find the distance between two integers using the difference.
Answer:
read explanation for answer
Step-by-step explanation: Finding the distance between any two integers is obtained by;
Taking the absolute value of the difference between the two integer values.
For instance :
Point A = - 10
Point B = 5
The distance between the two integer points is :
Difference = Point A - Point B = - 10 - 5 = - 15
Absolute value = |-15| = 15
Therefore, This procedure works for any pair of integer distances.
Answer:Find the difference between two integers by adding the additive inverse. The distance is the absolute value of the difference. Check the distance by plotting the original two integers on a number line and counting the units between them.
Step-by-step explanation:
a chord 7cm long is drawn in a circle of radius 3.7cm. calculate the distance of the chord from the centre of the circle
Answer: To find the distance of a chord from the center of a circle, we need to use the following formula:
Distance from center = sqrt(r^2 - (c/2)^2)
Where r is the radius of the circle and c is the length of the chord.
In this case, the radius of the circle is 3.7cm and the length of the chord is 7cm.
So, substituting these values in the formula, we get:
Distance from center = sqrt(3.7^2 - (7/2)^2)
= sqrt(13.69 - 12.25)
= sqrt(1.44)
= 1.2 cm
Therefore, the distance of the chord from the center of the circle is 1.2 cm.
Step-by-step explanation:
Find the value of 0.2 × 0.45
Answer:
.09
Step-by-step explanation:
Do it like this:
.2 and move the decimal 1 unit to the right.
Do the same thing with .45
You should end up with 2 x 4.5
2 x 4.5 = 9
And now you can put the decimal points back BUT this time you put it back on the .45 side (only applicable in this situation).
Now you have your answer for .2 x .45 now!
Answer:
= 0.09
Step-by-step explanation:
0.2 * 0.45 = 0.09
...
it is due today, please help me. If you just want points get out of my question page...
To completely solve the problem, Karim should convert the product back into standard decimal notation.
We cannot directly apply the product of powers property because the binomial is not raised to a power itself.
Miscellaneous problem(1) To convert a number from scientific notation to standard decimal notation, we multiply the coefficient (0.0258) by 10 raised to the power of the exponent (-8).
0.0258 × \(10^{-8\) = 0.0258 × 0.00000001
= 0.000000000000258
(2) The product of powers property states that when you raise a term with an exponent to another exponent, you can simplify it by multiplying the exponents.
In the expression \((3z + y)^3\), we have a binomial term (3z + y) raised to the power of 3. This is not a situation where we can directly apply the product of powers property because the binomial is not raised to a power itself.
To simplify the expression, we need to expand it using the binomial theorem or by applying the concept of binomial expansion.
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3x^3-2x^2+7x+9 divided by x^2-3x
The quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).
What is Division?A division is a process of splitting a specific amount into equal parts.
We have to find 3x³-2x²+7x+9 divided by x²-3x
3x³-2x²+7x+9 is the dividend and x²-3x is the divisor.
The steps to solve this are given below.
Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor.
Step 2: Then divide it by the divisor and write the answer on top as the quotient.
Step 3: Subtract the result from the digit and write the difference below.
Step 4: Bring down the next digit of the dividend (if present).
Step 5: Repeat the same process.
Hence, the quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).
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1. The data below depict the annual sales amounts for U.S.manufacturing corporations.
Manufacturing Sales (trillion dollars):
5.11
5.75
6.48
6.67
6.74
6.90
Year:
2009
2010
2011
2012
2013
2014
a. Use "years after 2008" as the input variable, and then find a logarithmic model
for these data. Round all coefficients using 4-digit rounding. Be sure to give a
complete model.
b. Use the model to estimate Manufacturing Sales in 2015.
2. a. Using the data set from Problem #1, find a quadratic model for these data. (Note:
Give coefficients as they appear on the calculator for this one since they are all
given to four digits or fewer.) Be sure to give a complete model.
b. Use the model to estimate Manufacturing Sales in 2015.
c. Which model (logarithmic or quadratic) appears to give a more reliable result for
2015? Why?
The logarithmic function is y = 5.11 + 0.88 ln(x+1), the estimated manufacturing sales in 2015 is 6.94 trillion dollars, the quadratic model for the function y = 0.6518x^2 + 5.9024x + 1.3225
What is the logarithmic function1.
a. To find a logarithmic model for the data, we will use the form y = a + b ln(x), where y represents Manufacturing Sales in trillions of dollars and x represents the number of years after 2008. We can use the six data points to solve for the constants a and b:
At x = 1 (i.e., in 2009), y = 5.11, so:
5.11 = a + b ln(1)
a = 5.11
At x = 2 (i.e., in 2010), y = 5.75, so:
5.75 = 5.11 + b ln(2)
b = (5.75 - 5.11) / ln(2) = 0.88
Using these values, the logarithmic model for the data is:
y = 5.11 + 0.88 ln(x+1)
b. To estimate Manufacturing Sales in 2015 using the logarithmic model, we need to evaluate the model at x = 7 (i.e., seven years after 2008):
y = 5.11 + 0.88ln(8) ≈ 6.94 trillion dollars
2.
a. To find a quadratic model for the data, we will use the form y = ax^2 + bx + c, where y represents Manufacturing Sales in trillions of dollars and x represents the number of years after 2008. We can use the six data points to solve for the constants a, b, and c:
Using a calculator, we can obtain:
a ≈ 0.6518
b ≈ 5.9024
c ≈ 1.3225
Using these values, the quadratic model for the data is:
y = 0.6518x^2 + 5.9024x + 1.3225
b. To estimate Manufacturing Sales in 2015 using the quadratic model, we need to evaluate the model at x = 7 (i.e., seven years after 2008):
y = 0.6518(7^2) + 5.9024(7) + 1.3225 ≈ 8.000 trillion dollars
c. It appears that the quadratic model gives a more reliable result for 2015, as it predicts a higher sales amount than the logarithmic model, which may be more realistic given the overall trend of increasing sales over time. However, this conclusion should be taken with a grain of salt, as both models are based on relatively few data points and are therefore subject to some degree of uncertainty.
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If a 90ml drink has 2 parts milk and 1 part chocolate topping, how many mls of milk and chocolate topping is that?
Answer:
The milk would be 60 ml and the topping would be 30 ml
Step-by-step explanation:
If there are 2 parts milk and 1 part toppings that would be a total of 3 (2+1 =3) So we are looking for 2/3 of 90 and 1/3 of 90.
Assume that the red blood cell counts of women are normally distributed with a mean of 4.577 million cells per microliter and a standard deviation of 0.382 million cells per microliter. Find the 80th percentile for the red blood cell counts of women. Round to three decimal places.options:4.6554.8784.898
Given:
mean = 4.577 million cells per microliter
standard deviation = 0.382 million cells per microliter
To find:
the 80% percentile for the red blood cell counts of women
To determine the 80th percentile, we will apply the z-score formula:
\(\begin{gathered} \begin{equation*} z=\frac{X-μ}{σ} \end{equation*} \\ \sigma\text{ = 0.382} \\ \mu\text{ = 4.577} \\ X\text{ = ?} \\ z\text{ = z-score of 80\% percentile} \end{gathered}\)\(\begin{gathered} Using\text{ z-score percentile for normal distribution} \\ The\text{ z-score of the 80th percentile = 0.842} \end{gathered}\)substitute the values:
\(\begin{gathered} 0.842\text{ = }\frac{X-\text{ 4.577}}{0.382} \\ X\text{ - 4.577 = 0.842\lparen0.382\rparen} \\ X\text{ - 4.577 = 0.321644} \end{gathered}\)\(\begin{gathered} X\text{ - 0.321644 + 4.577} \\ X=\text{ 4.8986} \\ \\ Hence,\text{ the 80th percentile is 4.898 million cells per microliter \lparen3rd option\rparen} \end{gathered}\)Interactive Practice: Understand Statistical Questions and Data Distributions
Each day for three weeks, Isaias records the number of eggs his chickens lay. The frequency table
shows his data.
Which statement describes the data distribution?
The frequency increases as the number
of eggs increases.
The value with the greatest frequency is
6 eggs.
The range is 8 eggs.
The distribution is spread from 2 eggs to
7 eggs.
Number of Eggs
4
5
6
7
8
||||
11
Y
X
Understanding statistical questions and data distributions is an important concept in data analysis and statistics. A statistical question is one that can be answered by collecting and analyzing data.
These questions typically ask about a population or group of individuals and are often related to trends or patterns.
Data distributions refer to the way data is spread out or distributed within a dataset. This can include measures like the mean, median, and standard deviation. Understanding data distributions is important for making accurate interpretations and predictions based on the data.
To practice understanding statistical questions and data distributions, it's important to work with real-world datasets and ask questions that can be answered using statistical analysis.
This can involve looking at trends and patterns in the data and interpreting the results in a meaningful way. By building these skills, you can become better equipped to analyze and interpret data in a variety of settings.
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HELP I NEED IT FAST
The sequence applied to shape I that proves shape Iis similar to shape Il is a translation ______ right and _____ up, then a dilation by a scale factor of _____.
Answer:
shape I is similar to shape Il is a translation 6 right and 1 up, then a dilation by a scale factor of 1/2 (center:origin (0,0).
Step-by-step explanation:
shape I is similar to shape Il is a translation 6 right and 1 up, then a dilation by a scale factor of 1/2.
What is the area of a rectangle with a length of 10 feet and a width that is 1.5 feet longer than the length?
A. 11.5 square ft
B. 15 square ft
C. 24 square ft
D. 115 square ft
Answer:A
Step-by-step explanation:
Michael is debating the two job offers below. Determine which will result in a higher income.
OFFER A
$34,500 ANNUALLY
OFFER B
$2,885 MONTHLY
B
Step-by-step explanation:
In a year, offer B would be more. Since annually is once a year and there are 12 months in a year, multiplying B by 12 would get each to a year.