The statement B is correct which states that the An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
According to the statement
We have to find that the correct statement about the rotational symmetry for an isosceles triangle.
So, For this purpose, we know that the
Rotational symmetry, also known as radial symmetry in geometry, is the property a shape has when it looks the same after some rotation by a partial turn.
From the given information:
Then from isosceles triangle,
An isosceles is a triangle that has two sides of equal length.
The isosceles theorem says that the angles opposite to the equal sides of a triangle are equal.
Thus, it also has two equal angles and one non equal angle. Thus, it does not have all congruent angles.
The order of rotational symmetry of a figure is the number of times we rotate up to 360° the figure such that it looks exactly the same as the original figure.
When we rotate the isosceles triangle up to 360° , only 1 time it looks exactly same as in the beginning because at each rotation the order of angles changes.
Therefore, The statement B is correct which states that the An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
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Answer: B. An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
Step-by-step explanation: right on edge 2023
PLEASE ANSWER THIS I NEED IT URGENTLY WILL GIVE BRAINIEST 3 TIMES OR MORE AND 100 POINTS AND MORE!!
Answer:
What is the question so I can answer
Solve for X
[tex]\log _ { 3 } x = 9 \log _ { x } 3[/tex]
pls gv step by step explaination
Answer:
[tex]x=27, \quad x= \dfrac{1}{27}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{3.7 cm}\underline{Logs Laws}\\\\$\log_ba=\dfrac{\log_ca}{\log_cb}$\\\\\\$\log_ab=c \iff a^c=b$\\\end{minipage}}[/tex]
Given equation:
[tex]\log_3x=9\log_x3[/tex]
Change the base of 9logₓ3 to base 3:
[tex]\begin{aligned}\implies \log_3x & =9\log_x3\\\\& =\dfrac{9\log_33}{\log_3x}\\\\&=\dfrac{9(1)}{\log_3x}\\\\&=\dfrac{9}{\log_3x}\end{aligned}[/tex]
Therefore:
[tex]\implies \log_3x=\dfrac{9}{\log_3x}[/tex]
[tex]\textsf{Let }\log_3x=u:[/tex]
[tex]\implies u=\dfrac{9}{u}[/tex]
[tex]\implies u^2=9[/tex]
[tex]\implies u=\pm3[/tex]
[tex]\textsf{Substitute back in }u=\log_3x:[/tex]
[tex]\implies \log_3x=\pm3[/tex]
Case 1
[tex]\implies \log_3x=3[/tex]
[tex]\implies 3^3=x[/tex]
[tex]\implies x=27[/tex]
Case 2
[tex]\implies \log_3x=-3[/tex]
[tex]\implies 3^{-3}=x[/tex]
[tex]\implies \dfrac{1}{3^3}=x[/tex]
[tex]\implies x=\dfrac{1}{27}[/tex]
Answer: x=3 x=1/27
Step-by-step explanation:
[tex]log_3x=9log_x3\\[/tex]
The area of acceptable values:
[tex]x > 0\ \ \ \ x\neq 1\\Hence,\\x\in(0,1)U(1,+\infty)[/tex]
Solution:
[tex]\displaystyle\\log_3x=\frac{9}{log_3x} \ \ \ \ \ \boxed{ log_ab=\frac{1}{log_ba} }\\\\Multiply\ both\ parts\ of\ the\ equation\ by\ log_3x :\\\\log^2_3x=9\\log^2_3x=3^2\\ log_3x=б3\\\\log_3x=3\\\\x=3^3\\x=3*3*3\\x=27\\\\\\log_3x=-3\\x=3^{-3}\\\displaystyle\\x=(\frac{1}{3})^3\\ x=\frac{1}{3}*\frac{1}{3}*\frac{1}{3} \\ x=\frac{1}{27}[/tex]
What is 8 and 3/4 into inproper fraction
Answer:
35/4
Step-by-step explanation:
8*4=32
32+3
=35
35/4
Which relation(s) is/are not a function?
A (-4, 6), (0, 6), (7, 6), (4, 6), (-3, 6)
B (6,-4), (6, 0), (6, 7), (6, 4), (6, -3)
C (4, 1), (8, 2), (12, 3), (16, 4), (20, 4)
D (1, 4), (2, 8), (3, 12), (4, 16), (4, 20)
Answer:
B.
Step-by-step explanation:
B is not a function because it has a duplicate x value. Any function that has the same x value makes it automatically not a function.
solve by completing the square
2x^2-12x-20=0
The square of the equation 2[tex]x^{2}[/tex] – 12x – 20=0 is
What is a quadratic equation?
A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0.
a[tex]x^{2}[/tex]+bx+c , a, b, c are integers .
formula: −b±√b2−4ac/2a
Given equation ,
2[tex]x^{2}[/tex] -12x-20=0
By comparing with the quadratic equation
Here, a=2, b= -12, c= -20.
X=−b±[tex]\sqrt{b^2-4ac}[/tex]/2a
X= -(-12) + [tex]\sqrt{(-12)2-4(2)(20)}[/tex] /2(2)
X=12+- [tex]\sqrt{144-160}[/tex]/4
X=12+- [tex]\sqrt{-16}[/tex]/4,
X=12+- (-4)/4
X=12+(-4)/4 and x=12-(-4)/4
X= 12-4/4 and x=12+4/4
X=8/4 and x= 16/4
X=2 and x= 4
Therefore, the square of the equation 2x2-12x-20=0 is x= 2 and x=4.
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working alone, stefan can tar a roof in 17
hours. jaidee can tar the same roof in 18
hours. find how long it would take them
if they worked together.
round your answer to the nearest hundredth and include your units.
Stefan take 17 hours and Jaidee 18hours ,time taken by both of them if they work together is equal to 8.74 hours.
As given,
Time taken by Stefan 17 hours
work in 1 hour = 1/ 17
Time taken by Jaidee = 18 hours
work in 1 hour = 1/18
If worked together:
Work complete in 1 hour = (1/17) + (1/18)
= 35 / (17)(18)
Time taken to complete 1 work= (17)(18) /35
= 8.74 hours
Therefore, ,time taken by both of them if they work together is equal to 8.74 hours.
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Can you help me with this please?
The solution associated with rational numbers is descriptively illustrated below with a detailed explanation.
What is a rational number?
An irrational number can sometimes be stated using fractions, but a rational number may be expressed even as a ratio of two integers with the denominator not equal to zero. Irrational numbers were non-terminating and non-recurring, whereas rational numbers have terminating decimals.Problems with the division of Rational Numbers:
(a) [tex]\frac{5}{7}[/tex] ÷ [tex]\frac{-11}{5} = \frac{5}{7} * \frac{5}{11} = \frac{25}{77}[/tex]
(b) [tex]\frac{\frac{-4}{5} }{\frac{3}{10} }[/tex]
[tex]\frac{-4}{5}[/tex]÷[tex]\frac{3}{10}[/tex]
[tex]\frac{-4}{5} *\frac{10}{3} \\=\frac{-8}{3}[/tex]
(c) [tex]\frac{-7}{17}[/tex]÷[tex]\frac{13}{34}[/tex]
[tex]\frac{-7}{17} X\frac{34}{13}[/tex]
(d) [tex]\frac{-2}{7}[/tex]÷[tex](\frac{-2}{21}[/tex] ÷ [tex]\frac{1}{7} )[/tex]
[tex]\frac{-2}{7}[/tex] ÷[tex](\frac{-2}{21} X\frac{7}{1} )[/tex]
[tex]= \frac{-2}{7} X \frac{-3}{2}[/tex]
[tex]=\frac{3}{7}[/tex]
He multiplied the denominator and numerator.
(e)
[tex]\frac{-1 \frac{1}{2} }{1\frac{2}{3} } \\\\=\frac{\frac{3}{2} }{\frac{5}{3} } \\\\=\frac{3}{2} X \frac{3}{5} \\\\=\frac{9}{10}[/tex]
(f) [tex]\frac{-3}{4}[/tex] ÷ [tex]\frac{2}{5} = \frac{-3}{4} X \frac{5}{2} =\frac{-15}{8}[/tex]
0.75÷0.4 = 1.875
[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{2}{5} = \frac{3}{4} X \frac{-5}{2} =\frac{-15}{8}[/tex]
(g)
Reciprocal of [tex]-1\frac{1}{17} = \frac{-17}{18}[/tex]
Reciprocal of [tex]\frac{-17}{18} = \frac{-18}{17}[/tex]
The above expressions are multiplicative inverse as [tex]\frac{-17}{18} X \frac{-18}{17} =1[/tex]
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I do not understand UPSE what am I so sapouse to do and how?
First of all let me tell you UPSC is the body which conducts the civil services examination in our country. To prepare for the civil services you must know it is the highest offered post by the government to an citizen of India.
You have many subjects in order to complete the syllabus of civil services.
The examination takes place in two parts. In the first part there are multiple choice questions and in the second part there are subjective questions which must be answered in a descriptive format.
The candidate also has to face interview after clearing both the examinations.
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Is the following sentence true?
Changing 3x + 6 into 3(x + 2) is
an
example of reverse distributing
Answer:
true
Step-by-step explanation:
d= √(7₂ (x2 − ₁)² + (Y2 − ₁)² Evaluate d if (x1, y₁) = (-3, 4) and (x2, Y2) = (−2, 4).
A 19-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is three inches more than five times the length of the first piecefind the lengths of the pieces. 3 + 5x
Using algebraic expressions and equations to solve this problem, a 19- inch piece of steel is cut into three pieces measuring 2 inches, 4 inches, and 13 inches.
An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".
If the second piece is twice as long as the first piece, we can write this as an algebraic expression "2x" where x is the length of the first piece.
If the third piece is three inches more than five times the length of the first piece, we can write this as an algebraic expression "3 + 5x" where x is the length of the first piece.
If the three pieces were cut from a single piece of steel 19-inches long, we can write the equation for the sum using the algebraic expressions.
let x = length of first piece
2x = length of second piece
3 + 5x = length of third piece
x + 2x + 3 + 5x = 19 inches
Solving for x,
8x = 19 -3
8x = 16
x = 2 inches
length of first piece = 2 inches
Substitute the value of x in the expressions for the second and third piece.
length of second piece = 2x
length of second piece = 2(2)
length of second piece = 4 inches
length of third piece = 3 + 5x
length of third piece = 3 + 5(2)
length of third piece = 3 + 10
length of third piece = 13 inches
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answer plsss rn !!!
an equation will not pass through the origin if:
Answer:An equation will not pass through the origin if the points are 0,0.
Your friend
participates in a 3.1-mile race. She
walks for 1.4 miles of the race and runs
the rest. About how many miles does
your friend run
1.7 miles, just do the total amount of what can be considered distance, then minus what she walked, resulting in the answer to be the amount of time ran.
If they gave you $440 in quarters. how many coins would you receive?
Answer:
$110
Step-by-step explanation:
quarter is 1/4 of a thing
so $440 ÷ 4 = 110
hence we can conclude that if you get $440 in quarters you will get $110 each time
Hope it helps!!!
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below is a list of volume of lava rates from four volcanoes. Which of the following is true of the rates at which lava flows? Choose all that apply.
Givien h(x)= 3x+1, solve for x when h(x) = 4
The value of x = 1 when the value of the function h(x) = 4.
What is a function?The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.
Given that,
h(x)= 3x+1
The value of h(x) = 4:
4 = 3x + 1
4 - 1 = 3x
3x = 3
x = 1
Hence, the value of x = 1 when the value of the function h(x) = 4.
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You are dealt one card from a standard 52-card deck. find the probability of being dealt in a queen? quiizlet
The probability of being dealt in a queen is 1/13.
What is probability?Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.To find the probability:
Total number of cards = 52Number of cards om 52 deck of cards = 4So, P = favourable events / total number of eventsThen, P = 4/52Probability = 1/13Therefore, the probability of being dealt in a queen is 1/13.
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Simplify by combining like terms. Write the answer with the variables in alphabetical order and any constant term last.
a+ ab^3 + ab^3
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. a+ ab^3 + ab^3 simplifies to [ ]
O B. The expression cannot be simplified.
a+ ab³ + ab³ simplifies to 2ab³+a.
For simplifying the terms first we have to add Like Terms.
Like Terms: Terms that have identical variable parts (same variable(s) and same exponent(s)). When simplifying using addition and subtraction, you combine “like terms” by keeping the "like term" and adding or subtracting the numerical coefficients.
In Algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
So hence we will add ab³ + ab³= 2ab³
For any given term, we almost always list the variables in alphabetical order and any constant terms last — this is helpful in identifying common terms, a topic discussed in the next section. So, for example, it is simply not cool to write 15yx, 15 y x , we want to stay alphabetical and write 15xy. Exponents play no role in this decision.
Therefore a+ ab³ + ab³ simplifies to 2ab³+a.
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T=CB-6, for C what is the answer pls my homework is due in 39 minutes
Step-by-step explanation:
if you did not leave anything out, all we can do is
T = CB - 6
T + 6 = CB
C = (T + 6)/B
of the 60 seeds you plant, 80% germinated. How many seeds germinated?
-For 11 points
Answer:
48 seeds germinated
Step-by-step explanation:
you have 60 seeds, and 80% of them germinated
80% = 0.80
[tex]60* 0.80 = 48[/tex]
48 seeds
Answer: 48 seeds germinated
Step-by-step explanation:
60/100= 0.6
0.6x80=48
Which list shows the numbers in order from least to greatest?
A)−3π,−9.4,−283,−95−−√
B)−95−−√,−3π,−9.4,−283,
C)−95−−√,−283,−9.4,−3π
D)−283,−9.4,−3π,−95−−√
Answer:
judging from the list of numbers i would pick a
(a) What was the maximum height the rocket reached?
After how many seconds?
Answer:
Can you provide more info? Like is there a graph that comes along with this question?
Step-by-step explanation:
HELP!!!! WILL MARK BRAINLIEST!!!!
18x+3=21
Solve for x.
Answer:
x=1
Step-by-step explanation:
18x+3=21
-3 = -3
18x= 18
18x/18 = 18/18
x= 1
Answer:
x = 1
Step-by-step explanation:
[tex]18x + 3 = 21\\18x = 21 - 3\\18x = 18\\18x/18 = 18/18\\x= 1[/tex]
You roll two (standard, six-sided) dice. What is the probability that you do not roll "double sixes"?
Five Spanish friends are playing in a house. Cammy, Ann, Rake, Dora, Stephen. Cammy and Ann are playing Chess, while Rake and Dora are playing together. Then Stephen is playing by himself, which would mean he is playing One player games. Can you figure out which game they are playing?
Answer:
Step-by-step explanation:A. Solution:
So we know that Ann and Cammy are playing Chess, and Stephen is playing by himself, which would mean he is playing -ONE-player games. So we have Rake and Dora, when you see their names, it creates a word. Cammy, Ann, Rake, Dora, and Stephen.
C A R D S
So Rake and Dora are playing cards. But what kind of cards? The ONE is spotlighted for clues, we have Spanish. So -ONE- in Spanish is UNO. If you search UNO, its a card game, TAAAAADDDDDDDDDAAAAAAAAA.
factorise completely m^2n-mn^2
Answer: nm(m-n)
Step-by-step explanation:
m^2n-mn^2=
n*m(m)-m*n(n)=
n*m(m-n)=nm(m-n)
A water well drilling rig has dug to a height of -30 feet after one full day (24 hours),of continuous use. assuming the rig drilled at a constant rate, what was the height of the drill after 15 hours (5/8 days)?
The Height of the drill after 15 hours was 18.75 feet deep or (-18.75) feet.
Given that in 24 hours
the water well drilling rig dig -30 feet .
we know that ,
24 hours = 1 day
So,
1 hour =1/24 day
15 hours = [tex]\frac{15}{24} =\frac{5}{8} day[/tex]
Now according to the question ,
in 1 day the drilling rig dug -30 feet
So in [tex]\frac{5}{8} day[/tex] the drilling rig will dig =[tex]\frac{5}{8} *(-30)=-18.75feet[/tex]
in 15 hours (5/8 days ) drilling rig dig -18.75 feet.
Therefore , The Height of the drill after 15 hours (5/8 days) was 18.75 feet deep or (-18.75) feet.
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When you divide an even number by an even number, is the result always an even number
Answer: No, for example, 50/2=25, 25 isn't even
Step-by-step explanation:
Answer:
No, it's not
Step-by-step explanation:
when u divide an even number with even number,the ans maybe appear in even as well as odd number also
For e.g:
1. 36/12=3
2. 12/6=2
3. 30/6=5
4. 60/10=6
Solve the simultaneous equation
-4x+3y=1
6x-y=2
Let's change the equation,
→ 6x - y = 2
→ y = 6x - 2
Then the value of x will be,
→ -4x + 3y = 1
→ -4x + 3(6x - 2) = 1
→ -4x + 18x - 6 = 1
→ 14x = 1 + 6
→ x = 7/14
→ [ x = 1/2 ]
Hence, the value of x is 1/2 (or) 0.5.
Now the value of y will be,
→ y = 6x - 2
→ y = 6(1/2) - 2
→ y = 3 - 2
→ [ y = 1 ]
Hence, the value of y is 1.
Janet rents a car while spending her vacation traveling in Argentina. When she returns the car, she has driven 1400 miles and used about 56 gallons of gas. If gas costs an average of $4.099 per gallon, estimate how much she spent on fuel.
Janet spent $230 on fuel
How to calculate the amount of money spent on fuel ?Janet rented a car to travel to Argentina
After the journey, she discovered that she had driven 1400 miles and used 56 gallons of gas
The gas costs $4.099 per gallon
Therefore the amount Janet spent thought out the journey for fuel can be calculated as follows
= 4.099 × 56
= 229.5
= 230
Hence when estimated, Janet spent $230 on fuel
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