Answers
∠C ≅ ∠F is congruent to show that ΔABC ≅ ΔDEF
How to find congruency in a triangle?
ΔABC ≅ ΔDEF
Therefore,
AAS congruence rule or theorem states that if two angles of a triangle with a non-included side are equal to the corresponding angles and non-included side of the other triangle, they are considered to be congruent.
Therefore,
∠C ≅ ∠F
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Related Questions
how to get from statements 3x+7=13 to 3x+7-7=13-7
Answers
Answer:
isnt it subtraction property?
Step-by-step explanation:
An Amtrak official obtains data on a particular day concerning the length of time (in minutes) that the metroliners leaving New York take to reach Philadelphia, with the following results:
93 89 91 87 91 89
Find the sample variance.
a. 3.6
b. 5.6
c. 6.8
d. 7.6
e. 4.4
Answers
The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.
The sample variance is a measure of how much the individual data points in a sample vary from the mean.
It is calculated by finding the average of the squared differences between each data point and the mean.
To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:
Calculate the mean (average) of the data set:
Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90
Subtract the mean from each data point and square the result:
(93 - 90)^2 = 9
(89 - 90)^2 = 1
(91 - 90)^2 = 1
(87 - 90)^2 = 9
(91 - 90)^2 = 1
(89 - 90)^2 = 1
Calculate the sum of the squared differences:
9 + 1 + 1 + 9 + 1 + 1 = 22
Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):
Variance = 22 / 5 = 4.4
It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.
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Find the exact value of tan A in simplest radical form.
Answers
Answer:
tan A = √(3)/3\(tan A=\frac{\sqrt{3} }{3}\)
Explanation:
tan = opposite/adjacent
tan A = BC/AC
tan A = 5/√75
tan A = 5/√(25×3)
tan A = 5/5√3
tan A = 1/√3
tan A = 1/√3 × √3/√3 (rationalizing the denominator)
tan A = √(3)/3
\(tan A=\frac{\sqrt{3} }{3}\)
2. A lemonade recipe calls for a cup of lemon juice for every cup of water.
Use the table to answer these questions.
What does x represent?
What does y represent?
Is there a proportional relationship between x and y?
Answers
Answer:
X represents cups of lemon juice, while y represents cup of water
Step-by-step explanation:
Yes there is a proportional relationship between x and y, as they are correlated, and each cup of water equals one cups of lemon juice, in other words for each y there is an x.
hope this helped
evaluate 1 1/3 - 2 1/6
Answers
Answer:
3/2 or 1.5
Step-by-step explanation:
1) Convert 2 1/6 into improper fraction
2) Find the LCM which is 6
3) Subtract like a normal fraction
Answer:
-5/6Step-by-step explanation:
=1×3+1/3 - 2×6+1/6=1×3+1/3 - 2×6+1/6=3+1/3- 12+1/6=1×3+1/3 - 2×6+1/6=3+1/3- 12+1/6=4/3 - 13/6=1×3+1/3 - 2×6+1/6=3+1/3- 12+1/6=4/3 - 13/6=4×6/6×3 - 13×3/6×3 =1×3+1/3 - 2×6+1/6=3+1/3- 12+1/6=4/3 - 13/6=4×6/6×3 - 13×3/6×3 =24/18 - 39/18 =1×3+1/3 - 2×6+1/6=3+1/3- 12+1/6=4/3 - 13/6=4×6/6×3 - 13×3/6×3 =24/18 - 39/18 = -15/18 =1×3+1/3 - 2×6+1/6=3+1/3- 12+1/6=4/3 - 13/6=4×6/6×3 - 13×3/6×3 =24/18 - 39/18 = -15/18 = -5/6What does Jing-mei`s mother want her to be?
Answers
Answer: Jing-mei's mother wants her to be a prodigy because her friend Lindo Jong's daughter Waverly is a chess prodigy. She also wants her daughter to be successful.
Step-by-step explanation:
How do you think business owners determine how much of each of their products to make?
Answers
Answer:
They determine how much to make by how much demand there is for said product from the consumer.
Step-by-step explanation:
The radius of a circle is 6.1 kilometers. What is the circle's circumference?
Use 3.14 for r and round your answer to the nearest hundredth.
Answers
I believe there's a mistake in the question, as "r" usually stands for "radius" and not the value of pi. Assuming you meant to ask for the circumference, the correct formula would be:
Circumference = 2πr
where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14.
Using this formula and the given radius of 6.1 kilometers, we get:
Circumference = 2 x 3.14 x 6.1
Circumference = 38.284 kilometers (rounded to the nearest hundredth)
Therefore, the circumference of the circle with a radius of 6.1 kilometers is approximately 38.28 kilometers.
Find the value of x. Round your answer to the nearest tenth.
Answers
Tangent=opposite/adjacent
Therefore:
Tan(41°)=12/x.
(12)Tan (41°)=x because we multiplied 12 on both sides to isolate X.
X=10.43 because we plugged the above statement into the calculator.
The answer: X=10.4 by rounding.
Someone help!!!!!! Look at the picture below
Answers
Answer:
9
Step-by-step explanation:
i can not really tell what letters are on the picture but i think it is 9
10. 5.8 - (0.25 X 1.5)
Just need 3 4 and 5 where 3.852 is thanks
Answers
Answer:
HOPE it will be right... Good luck
Which set of points includes all of the solutions for y = (5/2)x+(3/2)?
O (x, 5/2)x+(3/2) for all real numbers
O (-1, -1), (0, 1.5), (1, 4)
• (x, y) for all real numbers
O (-3, -6), (-2, -3.5). (0, 1.5), (2, 6.5), (3, 9)
Answers
Answer: (x,y) for all real numbers
Step-by-step explanation: x can be any real number and there will always be a corresponding y for whatever x is.
O (x, y) for all real numbers.
In this equation, the value of y depends on the value of x, and for every possible value of x, there is a corresponding value of y that satisfies the equation. Therefore, the set of points (x, y) is valid for all real numbers.
In the diagram, ∆AED ≅ ∆CEB. How can this information be used to show that ABCD is a parallelogram?
Answers
Since ∆AED ≅ ∆CEB, we know that angle AED is congruent to angle CEB, and that AE is congruent to CB. This implies that AD is parallel to BC by the alternate interior angles theorem, and that AB is parallel to CD by the corresponding sides theorem. Therefore, ABCD is a parallelogram.
The statement ∆AED ≅ ∆CEB means that triangle AED is congruent to triangle CEB. This implies that their corresponding angles and sides are congruent. In particular, angle AED is congruent to angle CEB, and side AE is congruent to side CB.
Now, let's consider the quadrilateral ABCD. We want to show that it is a parallelogram. Recall that a parallelogram is a quadrilateral with opposite sides parallel. To prove that ABCD is a parallelogram, we need to show that opposite sides are parallel.
We already know that AE is congruent to CB. By the definition of a parallelogram, we know that opposite sides are congruent. Therefore, we can conclude that AD is congruent to BC.
Since ∆AED ≅ ∆CEB, we also know that angle AED is congruent to angle CEB. By the alternate interior angles theorem, we know that when a transversal intersects two parallel lines, the alternate interior angles are congruent. Therefore, we can conclude that AD is parallel to BC.
Similarly, we can use the fact that angle EDA is congruent to angle BEC to show that AB is parallel to CD.
Therefore, we have shown that opposite sides of ABCD are parallel, which means that ABCD is a parallelogram.
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sometimes life is hard. we are lost in a sea of people. everyone is trying to find their path. times goes on. it does not stop.
Answers
Answer:
That is so very true.
Step-by-step explanation:
hi please help :)????
Answers
there's not information for me to help. what are the choices in the word box?
Hen interpreting f (7, 31) = 4.78, p > 0.05, how many subjects were tested in this simple one-way anova?
Answers
39 subjects were tested in this simple one-way ANOVA.
The df for F distribution is (treatment df, error df)
Using given information
Treatment df = 7
Error df = 31
Total df= 7+31 = 38
Again, total df = N-1, N= number of subjects tested
Then, N-1 = 38
=> N= 39
One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.
The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.
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Bearing a to b is 280 what is bearing b to A
Answers
Answer:
please see photo attached for detailed analysis.
Write the absolute value equations in the form |x-b|=c(where b is a number and c can be either number or an expression) that have the following solution sets:
One solution: x=15
Answers
Answer:
|x-15|=0
Step-by-step explanation:
Obviously.
Answer:
|x-15|=0
Step-by-step explanation:
I need help,
thanks :)
Find the equation of the line that passes through the point (5,5) and is parallel to the line 3x−5y=−7
Answers
Answer:
y =.6x+2
Step-by-step explanation:
What are these values?
1-3) =
-1) =
f(3) =(
Answers
-1=-1
I don’t really understand the question but I think no.1 is correct
A coin is tossed 3 times. Find the probability of getting exactly two head
Answers
In this problem, we have a binomial probability distribution
so
n=3
p=0.50
q=0.50
Find out P(X=2)
\(P(X=2)=\frac{3!}{2!(3-2)!}*0.50^2*0.50^{(3-2)}\)P(X=2)=0.375i suck at accounts ugh
(also there was no option for accounts so i chose math)
Answers
The total purchases for the year ended 28 February 2018 can be found to be £ 45, 000.
How to find the total purchases ?The total purchases that Sevket had for the year ended 28 February 2018 can be found by the formula :
Amount paid to suppliers by Sevket + Cash discount received from credit suppliers
Amount paid to suppliers by Sevket = £ 42, 700
Cash discount received from credit suppliers = £ 2, 300
The total purchases are :
= 42, 700 + 2, 300
= £ 45, 000
Note : The option for accounts is Business.
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HELP!!!!! due in 5 or 10 minutes!!!
Caleb has a cube with an edge length of
3 inches. Emma has a cube whose volume is
27 times as great as the volume of Caleb's
cube.
What is the length of Emma's cube?
Answers
Answer:
The answer is 9.
Step-by-step explanation:
Caleb's cube has a volume of 27 inches cubed.
27 x 27 = 729
729 has a cube root of 9.
Consider the equation, called the freshman's dream (a+b)p≡ap+bp(modp) Prove this statement when p is a prime integer, show that the freshman's dream does not hold for all integers p.
Answers
The freshman's dream holds true when p is a prime integer.
When p is a prime integer, the freshman's dream holds true. To prove this statement, we can use Fermat's Little Theorem. Mathematically, this can be written as:
a^(p-1) ≡ 1 (mod p)
Using this theorem, we can prove the freshman's dream as follows:
(a+b)^p ≡ a^p + b^p (mod p)
(a+b)^p = Σ(p choose k) * a^(p-k) * b^k
Now, consider the terms in this expansion for k = 1 to k = p-1. Since p is prime, it follows that p divides (p choose k) for all k such that 1 ≤ k ≤ p-1. Therefore, we can write:
(a+b)^p ≡ a^p + b^p + (mp)
Using Fermat's Little Theorem, we know that:
a^(p-1) ≡ 1 (mod p)
b^(p-1) ≡ 1 (mod p)
a^(p-1) * b^(p-1) ≡ 1 (mod p)
(a*b)^(p-1) ≡ 1 (mod p)
Now, multiplying both sides of the original equation by (a*b)^(p-2), we get:
(a+b)*(a*b)^(p-2) ≡ a*(a*b)^(p-1) + b*(a*b)^(p-1) (mod p)
(a+b)*(a*b)^(p-2) ≡ a + b (mod p)
(a*b)^(p-2) ≡ 1 (mod p)
(a+b)^p ≡ a^p + b^p + 2ab*(a*b)^(p-2) (mod p)
(a+b)^p ≡ a^p + b^p + 2ab (mod p)
Therefore, the freshman's dream holds true when p is a prime integer.
However, the freshman's dream does not hold for all integers p. For example, consider the case where p = 4. Then, we have:
(a+b)^4 ≡ a^4 + b^4 (mod 4)
(a+b)^4 = a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4
Now, note that for any integer n, n^4 is congruent to either 0 or 1 modulo 4. Therefore, it follows that:
a^4 ≡ 0 or 1 (mod 4)
b^4 ≡ 0 or 1 (mod 4)
(a+b)^4 ≡ 0 or 1 or 2 (mod 4)
Therefore, the freshman's dream does not hold for all integers p.
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which factor has the greatest influence on the number of daylight hours that a particular earth surface location receives
Answers
Our amount of daylight hours depends on our latitude and how Earth orbits the sun.
Our location and the Earth's orbit around the sun both affect how many hours of daylight we receive. The axis of rotation of the Earth is inclined with respect to its orbital plane and always faces the North Star.
Every day of the year, there are precisely twelve hours of daylight and twelve hours of darkness where the equator is. Although not by much, atmospheric refraction causes sunrise to occur a bit earlier and dusk to occur a little later.
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One of the angles formed by two intersecting lines measures 30°. What are the measures of the other three angles? i need help ASAP
Answers
Answer: The angles are 30 30, 150, 150
Step-by-step explanation: Two lines intersect means they cross. According to the vertical angle theorem, angles that are across are the same, a line is 180 degrees so it means the angles that make up the supplementary pair add up to 180(180-30=150). So there are 2 150 degree angles and 2 30 degree angles
Answer:
30, 150, 150
Step-by-step explanation:
who uses the product pick list generated by an order processing system?
Answers
The product pick list generated by an order processing system is used by warehouse personnel or fulfillment staff to gather and prepare items for shipment.
The product pick list is a crucial tool in the order fulfillment process. It contains detailed information about the products ordered by customers, such as their names, quantities, and locations within the warehouse. Warehouse personnel or fulfillment staff rely on this pick list to efficiently gather the required items from the shelves or storage areas.
When an order is received, the order processing system automatically generates a pick list based on the products included in the order. This pick list serves as a guide for the warehouse staff, enabling them to quickly locate and pick the items needed to fulfill each order accurately. The pick list typically organizes the items in a logical order, such as by aisle or location, to optimize the picking process and minimize the time spent searching for items.
By using the product pick list, the warehouse personnel can ensure that the correct items are picked and prepared for shipment, reducing the likelihood of errors or mix-ups. This helps streamline the order fulfillment process, improve efficiency, and ultimately deliver a positive customer experience.
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Find the perimeter of a trapezoid with sides of 10 feet, 8 feet, 16 feet, and 12 feet. Enter only the number of feet in the answer box.
The solution is
Answers
Answer:
46 feet
Step-by-step explanation:
pls pls pls helpjust need the answer
Answers
Answer:
k = - 8
Step-by-step explanation:
given that (x - a) is a factor of f(x) , then f(a) = 0
given
(x - 1) is a factor of f(x) then f(1) = 0 , that is
3(1)³ + 5(1) + k = 0
3(1) + 5 + k = 0
3 + 5 + k = 0
8 + k = 0 ( subtract 8 from both sides )
k = - 8
Ixl dilations-find the scale factor and center dilation
Answers
The scale factor is 2 and center dilation is reduced.
The scale factor is a ratio that describes how much a figure has been enlarged or reduced. It is calculated by dividing the length of the corresponding sides of the original and dilated figures. If the scale factor is greater than 1, then the figure is enlarged, and if it is less than 1, then the figure is reduced.
To find the scale factor in an IXL dilations problem, you need to compare the corresponding sides of the original and dilated figures.
If the original figure has a side length of 4 units, and the dilated figure has a corresponding side length of 8 units, then the scale factor is 8/4=2. This means that the dilated figure is twice as large as the original figure.
The center of dilation is the point about which the figure is enlarged or reduced. It is the fixed point that remains unchanged during the dilation process.
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