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Related Questions
What is the difference between the angle-angle-side AAS congruence theorem and the angle side angle ASA congruence postulate?
Answers
The triangles are congruent if two sets of matching angles and the included sides are also congruent. This standard is called angle-side-angle (ASA). Angle-angle-side (AAS) is another criterion that takes into account the congruence of two pairs of angles as well as the non-included side.
What is triangle?In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.
All triangles are contained in a single plane if all geometry is on the Euclidean plane, but in higher-dimensional Euclidean spaces, this is no longer the case.
The definition of the terminology used to classify triangles can be found on the first page of Euclid's Elements, which dates back more than two thousand years. In modern classification, names are either directly transliterated from Euclid's Greek or translated from Latin.
Hence, The triangles are congruent if two sets of matching angles and the included sides are also congruent. This standard is called angle-side-angle (ASA). Angle-angle-side (AAS) is another criterion that takes into account the congruence of two pairs of angles as well as the non-included side.
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Please help. Functions and relations. f(x) = 6x + 4. find the inverse of f(x)
Answers
We must find the inverse function of the line given by:
\(y=f(x)=6x+4.\)(1) First, we find the value of x in terms of y:
\(\begin{gathered} y=6x+4, \\ 6x=y-4, \\ x=\frac{y-4}{6}. \end{gathered}\)(2) We interchange the variables x and y:
\(y=\frac{x-4}{6}.\)The equation obtained is the inverse of f(x):
\(f^{-1}(x)=\frac{x-4}{6}.\)AnswerD.
\(f^{-1}(x)=\frac{x-4}{6}.\)16.1 gallons/day = ? Quarts/hour
Answers
Answer:
1 gallons per day = 0.1667 Quarts per hour
16.1 gallons per day = 16.1 & 0.1667 = 2.6833 Quarts per hour.
Step-by-step explanation:
If h(x)=11, what must be the value of x?
Answers
For the given expression the value of x must be 11.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is h(x) = 11. The value of x will be calculated as,
h(x)=11
h(x) = x
Compare the above equations and find the value of x,
x = 11
Therefore, for the given expression the value of x must be 11.
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A baseball player hit home runs in a season. Of the 71 home runs, 24 went to right field, 25 went to right center field, went to center field, 9 went to left center field, and 1 went to left field. What is the probability that a randomly selected home run was hit to right field?
Answers
Answer:
24/71
Step-by-step explanation:
Total number of runs = 71Right field = 24Probability = favorable outcomes/total outcomes
P = 24/71What is the area of the figure?
O 11 square units
O 18 square units
24 square units
32 square units
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Answer:
18
Step-by-step explanation:
Answer:
yes 18 is correct
Step-by-step explanation:
Write the following ratio using two other notations.
6:5
Use only the numbers above (not any others).
Notation one:
Notation two:
0.
3
0=0
0:00 to
0<0 0>
Answers
The ratio may be written if it is a component of a percentage.
6 is to 5 is 12 is to 10 .
What is a ratio notation?Ratios can be expressed as a notation, like 1/2, or as a ratio, like 6:5. A ratio's value is determined by dividing the first and second numbers. Consider the ratio 12:10 as an example. "6 to 5" should be read as the ratio. Any fraction, like 6/5, can also be expressed as a ratio, which is written as 6:5.
A colon or a fraction bar are two typical symbols representing ratios. You can also use words.
6 : 5 = 6/5 = 6 to 5
The ratio may be written if it is a component of a percentage.
6 is to 5
as in ...
12 is to 10 what 6 is to 5, and vice versa.
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k) v=u+ax make x the subject
Answers
Answer:
x = (v - u) / a
Step-by-step explanation:
v = u + ax.
subtract u from both sides:
v - u = ax.
divide both sides by a:
(v - u) / a = x.
so x = (v - u) / a.
this can also be written v/a - u/a
Help me please I am having a very difficult time right now
Answers
Answer:
Grams of Peanuts = 52.5
Grams of Raisins = 210
Step-by-step explanation:
14/4 = 3.5
21/6 = 3.5
30/5 = 3.5
3.5 · 15 = 52.5
3.5 · 60 = 210
if f(x) = 3x-1 and g(x) = x+2, find (f+g)(x)
Answers
Answer: 4x+1
Step-by-step explanation:
(f+g)(x)=f(x)+g(x)=(3x-1)+(x+2)=3x-1+x+2=4x+1
A man gave 5/12 of his money to his son , 3/7 of the remainder to his daughter and the remaining to his wife if his wife gets rs 8700 what is the total amount
Answers
The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.
A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?
The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.
The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'
Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).
Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.
Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200
Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.
The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.
The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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Question 1 options: It was found that 60% of people have a dog as a pet. If a random sample of 11 people is selected, what is the variance of the number of people that have a dog as a pet
Answers
Answer:
\(Var= 2.64\)
Step-by-step explanation:
Given
\(p = 60\%\) ---Proportion
\(n = 11\) --- Sample Size
Required
Determine the variance
Variance (Var) is calculated as follows;
\(Var= np(1 - p)\)
Substitute values for n and p
\(Var= 11 * 60\% * (1 - 60\%)\)
Convert percentage to decimal
\(Var= 11 * 0.60 * (1 - 0.60)\)
\(Var= 11 * 0.60 * 0.40\)
\(Var= 2.64\)
Hence, the variance is 2.64
HELLPP!!! A borrower is curious about their credit score and knows the following four scenarios can have a negative and positive impact:
I consistently making late payments
II Long credit history with specific card
III. Keeping a high balance on credit cards
IV. Applying for many different credit cards
A. I, III,IV
B. I, II
C. II,III,IV
D.II,III
Answers
A borrower consistently making late payments, keeping a high balance on credit cards, and applying for many different credit cards can have a negative impact on their credit score. Therefore, the correct answer is A) I, III, IV.
On the other hand, having a long credit history with a specific card (II) can have a positive impact on the credit score, while it is important to keep in mind that this is just one factor among many that can affect a credit score.
\(\huge{\colorbox{black}{\textcolor{lime}{\textsf{\textbf{I\:hope\:this\:helps\:!}}}}}\)
\(\begin{align}\colorbox{black}{\textcolor{hotpink}{\underline{\underline{\sf{Please\: mark\: as\: brillinest !}}}}}\end{align}\)
\(\textcolor{blue}{\small\texttt{If you have any further questions,}}\) \(\textcolor{blue}{\small{\texttt{feel free to ask!}}}\)
\({\bigstar{\underline{\boxed{\sf{\textbf{\color{red}{Sumit\:Roy}}}}}}}\\\)
What meaning of the statement this?
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Note that the notation "∪C = {x : x ∈ for some S ∈ C} = ∪ { S:S ∈ C}" represents a mathematical statement involving sets.
What is the explanation of this ?∪C : This represents the union (∪) of the sets in C.
{x : x ∈ for some S ∈ C}: This is the description or definition of the elements in the set formed by the union of sets in C.
It states that an element x belongs to the union of sets in C if and only if x belongs to at least one set S that is an element of the set C.
= ∪{ S:S ∈ C} : This means that the union (∪) of sets in C is equal to the union of all sets S that belong to the set C.
In summary, the statement is saying that the union of sets in C consists of all elements that belong to at least one set in C. It is the combined collection of elements from all sets in C.
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Can somebody help me I’m in 2nd grade thank you.
Answers
It would be 6 I think
The amount, a, in Chelsea's savings account after y years can be found using the equation a = 1000(1.03)".
After 5 years, Chelsea sells her car for its current value and adds the money to her savings account. The savings account continues to get the same interest rate as before.
Two years after that, 7 years after initially starting the savings account and buying the car, how much money is in Chelsea's savings account, to the nearest dollar?
Answers
Chelsea has $13,385 in her savings account after 7 years.
What is savings account ?A savings account is an effective way to store your money in a secure location where it can earn interest.
After 5 years, the amount in Chelsea's savings account will be:
a = 1000(1.03)^5 = 1000(1.159274) = 1159.27
Let's say that Chelsea sells her car for x dollars. She adds that to her savings account, so the new amount in her account is:
1159.27 + x
After two more years (i.e., 7 years after initially starting the savings account), the amount in her savings account will be:
a = (1159.27 + x)(1.03)^2 = (1159.27 + x)(1.0609) = 1232.56 + 1.0609x
To find the value of x, we need to know the current value of the car. Once we have that, we can substitute it into the equation above to find the final amount in Chelsea's savings account.
For example, let's say that Chelsea sold her car for $5000. Then, the final amount in her savings account would be:
a = 1232.56 + 1.0609(5000) = 13384.91
Therefore, to the nearest dollar, Chelsea has $13,385 in her savings account after 7 years.
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Which of these is the graph of the linear quality below
Answers
Answer:
To plot the given inequality.
\(y\leq-3x+6\)To plot the inequality, first plot and graph the line y=-3x+6 (slope is -3, y intercept is 6)
To find the region which satisfies the inequality, take a point above or below and substitute in the equation, the point is in the region will satisfies the inequality.
The required graph is,
what is the value of y in the solution to the system of equations?
4x-2y=5
y=3x-1
Answers
Answer:
-5.5
How I solved it:
A helpful website that I use is called Desmos. It makes the graph for you.
Just type in your equation and it is good to go. My teacher showed it to me so you know that it is good.
what is
5 = ?
2 = 60
6 = 27
9 = 3
Answers
Answer:
what do you mean? explain please
Step-by-step explanation:
What is the definition of withholding?
Answers
use the pattern. Drag the values into the equation. Values may be used more than once.
Answers
9514 1404 393
Answer:
Left-to-right:
n1n-12n-22nStep-by-step explanation:
In this pattern, the exponents of 'a' and 'b' total n. The 'b' exponent value is the right-subscript of C. The exponents range from 0 to n. Generally, the 'a' exponents count down from n; the 'b' exponents count up from 0.
_____
Additional comment
You will see this pattern again. You might want to keep it handy.
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
The question is explain how you calculate at this temperature. Someone answer it please right answers only!
Answers
The linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.
What is temperature?Temperature is a unit of hotness and coldness that can be described in terms of any number of arbitrary scales. It also represents the direction wherein heat energy will naturally flow, from either a hotter (i.e., higher temperature) body to a colder body.
Temperature is not the same as the energy of such a thermodynamic system; for instance, an iceberg has a significantly larger total heat energy than a match, despite the fact that a match is burning at a significantly higher temperature. The linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.
Therefore, the linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.
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PLEASE HURRY AND ANSWER!!!!
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The probability that that arrow will land on the part labelled C after the first spin would be = 1/5.
How to calculate the probability of the chosen event?To calculate the probability of the chosen event, the formula for probability should be used which is given as follows:
Probability = possible outcome/ sample space
Where possible outcome = 2
sample space = A,B,B,B,C,C,D,D,D,E = 10
Therefore the probability that the arrow will land on the part labelled C after the first spin = 2/10 = 1/5.
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the length of a shadow of a tree is feet when the angle of elevation of the sun is . approximate the height of the tree.
Answers
The approximate height of the tree is feet.
The exact height of the tree cannot be determined without additional information. However, a rough estimate can be made using the following formula:
Height of Tree = Length of Shadow / Tan(Angle of Elevation of Sun)
In this case, the estimated height of the tree would be: Length of Shadow / Tan( ) = feet/tan( ).
The formula to calculate the height of a tree is:
Height of Tree = Length of Shadow * Tan(Angle of Elevation of the Sun)
In this case, Length of Shadow = feet and Angle of Elevation of the Sun
Therefore, the height of the tree can be calculated as follows:
Height of Tree = feet * Tan( )
Height of Tree = feet * 0.839
Height of Tree = feet
Therefore, By the angle of elevation the approximate height of the tree is feet.
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Solve for x: 8x -9 >15
Answers
Answer:
x>-3
Step-by-step explanation:
Answer:
x > 3
Step-by-step explanation:
wayne earns 4.6 simple interest for 8 years on 4000. How much interest does he earn and what is the total amount on the account
Answers
Answer:
To find the interest earned by Wayne, we can use the simple interest formula:
I = P * r * t
Where:
I = interest earned
P = principal amount
r = interest rate per year
t = time period in years
In this case, we know that:
P = 4000 (the principal amount)
r is unknown (we'll come back to this)
t = 8 years (the time period)
We also know that the interest earned is 4.6, so we can substitute these values into the formula and solve for r:
4.6 = 4000 * r * 8
r = 4.6 / (4000 * 8) = 0.00014375
Now that we know the interest rate per year, we can use the simple interest formula to find the total interest earned by Wayne:
I = P * r * t = 4000 * 0.00014375 * 8 = 4.6
So Wayne earned 4.6 in interest over 8 years.
To find the total amount on the account, we can simply add the interest to the principal:
Total amount = Principal + Interest = 4000 + 4.6 = 4004.6
So the total amount on the account after 8 years is 4004.6.
Answer: The total amount on Wayne's account after 8 years is $5,472.
Step-by-step explanation:
To calculate the interest earned by Wayne, we can use the formula:
I = P * r * t
Where I is the interest, P is the principal amount, r is the interest rate, and t is the time in years.
In this case, Wayne earns 4.6% simple interest for 8 years on 4000. So, P = 4000, r = 0.046 (since 4.6% is equivalent to 0.046), and t = 8.
I = 4000 * 0.046 * 8
I = 1472
Therefore, Wayne earns $1,472 in interest.
To calculate the total amount on the account, we can add the interest to the principal:
Total amount = Principal + Interest
Total amount = 4000 + 1472
Total amount = $5,472
Therefore, the total amount on Wayne's account after 8 years is $5,472.
in the diagram to the left, if m∠aed=152° , find each angle measure
Answers
Answer:
Step-by-step explanation:
1). ∠1 and ∠2 are supplementary.
m∠1 + m∠2 = 180°
2). ∠1 and ∠2 are complementary angles.
m∠1 + m∠2 = 90°
3). If ∠1 and ∠2 are vertical angles,
m∠1 = m∠2 = 64°
4). ∠Q and ∠R are complementary angles.
m∠Q + m∠R = 90°
If m∠R = 73°,
m∠Q + 73° = 90°
m∠Q = 90° - 73°= 17°
5). m∠AED = 135°
a). Since, ∠AED and ∠AEC are supplementary angles,
m∠AED + m∠AEC = 180°
m∠AED = 152°
152° + m∠AEC = 180°
m∠AEC = 180° - 152° = 28°
b). m∠CEB + m∠AEC = 180°
28° + m∠CEB = 180°
m∠CEB = 180° - 28° = 152°
c). m∠FEC = m∠FEA + m∠AEC
= 90° + 28°
= 118°
Answer:
Step-by-step explanation:
A
Suppose I am rolling a standard 6-sided dice. Let A be the event I roll a prime number, Let B be the event I roll a number less than or equal to 4. I ran a trial 10 times and got the results 2, 4, 3, 1, 5, 6, 1, 3, 2, 1
What is the experimental P(B)
Answers
The experimental probability of rolling a number less than or equal to 4 is 0.7.
How is conditional probability calculated? What does it mean?The likelihood that an event (A) will occur given the occurrence of another event (B) is known as conditional probability. P(A|B), which stands for "the probability of A given B," is used to express it. You must first determine P(A and B) by multiplying the odds of A and B happening together. Next, you may compute P(A|B). The conditional probability of A given B is then obtained by dividing the result by P(B).
Several situations in everyday life, including medical diagnosis, industrial quality control, and risk assessment in insurance, call for the usage of conditional probability.
Given that, the trial was run 10 times.
Thus,
P(B) = (number of times B occurred) / (total number of trials)
= 7 / 10
= 0.7
Therefore, the experimental probability of rolling a number less than or equal to 4 is 0.7.
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Dominic's car used 8 gallons to travel 192 miles. At what rate does the car use gas, in
miles per gallon?
Answers
Answer:
24 miles per gallon
Step-by-step explanation:
to find the unit rate you divide 192 by 8 and that is 24
so it takes Dominic 1 gallon to drive 24 miles
hope this helps!