The point A' of the image coincides with point of the preimage of point D.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Rotation does not change the size and shape of the geometry.
The regular octagon ABCDEFGH rotates 135° clockwise about its center to form octagon A'B'C'D'E'F'G'H'.
Then the point A' of the image coincides with point of the preimage of point D.
The diagram is given below.
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Please help and answer ASAP please will mark Brainlest
What is the value for x?
Enter your answer in the box.
x =
Answer:
x=45
Step-by-step explanation:
i hope its right good luck :)
i think im wrong
Ralph chase plans to sell a piece of property for $145000. He wants the money to be paid off in two ways a short term note at 11% interest and a long term note at 8% interest. Find the amount of each note if the total annual interest paid is $13850.
Given :
Price of property , P = $145000 .
Money paid off in two ways a short term note at 11% interest and a long term note at 8% interest.
Total interest , I = $13850 .
To Find :
The amount of each note .
Solution :
Let , x money is paid off in 11 % interest rate and ( 145000-x) in 8% interest rate.
Therefore , their sum of interest in mathematics is given by :
\(\dfrac{11x}{100}+\dfrac{8(145000-x)}{100}=13850\\\\11x+1160000-8x=1385000\\\\3x=225000\\\\x=\$75000\)
Therefore , the amount of note is $75000 and $70000 for 11% and 8% interest rate respectively .
Hence , this is the required solution .
Gabriella wrote a set cf numbers on the index cards shown.
Solution
Step 1
Write the numbers:
\(-\frac{15}{4}\text{ , -}\sqrt{15}\text{ , -3.95}\)Step 2
Arrange the numbers in ascending order of magnitude.
\(-3.95\text{ , -}\sqrt{15}\text{ , -}\frac{15}{4}\)Write an integer to represent the situation.
a football player gains 21 yards
Answer:+21
Step-by-step explanation:
21 + 0
An ice cream factory makes 310 quarts of ice cream in 5 hours. How many quarts can they make per hour?
if (5^0)^x = 1, what are the possible values of x.
Answer:
x=1
Step-by-step explanation:
if you do 1x5=5 1x0=0 so yur left with 5^0=1
Answer: i think x=1
Step-by-step explanation: 5^0=1 (1)^x=1 x=1
Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
Which equation can be used to find the area of the blue triangle?
A) A=2(7)(12)
B) A= 1/2 (7)(12)
C)A=2(7²)(12²)
D)A= 1/2(7²)(12²)
Answer:
The answer is D. A=1/2(7 to the power of 2) 12 to the power of 2)
Step-by-step explanation:
Umm, can somebody help me?
Answer:
the answer is 18.
Step-by-step explanation:
Find the value of each variable. (x and y)
Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)
Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).
Write a congruence statement for the triangles. Then identify all pairs of congruent corresponding paris.
∠Q≅ ?
∠R≅ ?
∠P≅ ?
PQ≅ ?
QR≅ ?
The ΔPQR and ΔCBA are congruent using ( SAS , AAA , ASA) properties
If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.
The two triangles need to be of the same size and shape to be congruent. Both the triangles under consideration should superimpose on each other.
According to the question,
We have to identify all the pairs of congruent
In ΔPQR and ΔCBA,
If we look the figure
(1) ∠Q ≅ ∠B
(2) ∠R ≅ ∠A
(3) ∠P ≅ ∠C
(4) PQ ≅ CB
(5) QR ≅BA
Therefore , All three angles are equal and all three sides
hence , ΔPQR ≅ ΔCBA by using AAA or ASA or SAS properties
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A standard deck of playing cards contains 52 total cards, 13 of which are "spades".
Suppose you and a friend are playing a game. You can choose any two cards from the deck without looking. If the two cards you choose are both spades, you win!
You pull out one card, and then another, without putting the first one back.
What is the approximate probability that you win? Are your two choices independent or dependent events?
6%, Independent
6%, Dependent
11%, independent
11%, Dependent
The probability that you win is 6%, and the two choices are dependent events option (B) is correct.
What is probability?
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
A standard deck of playing cards contains 52 total cards, 13 of which are "spades".
The probability of the first draw:
Probability = favorable outcomes/total outcomes
First draw: 1/4
For the second draw:
Second draw = 12/51
The probability that you win = (1/4)(12/51) = 3/51
In percent:
= (3/51)x100
= 5.88 = 6%
Thus, the probability that you win is 6%, and the two choices are dependent on events option (B) is correct.
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Type the standard form of three hundred thousand two hundred one
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Standard form is numbers only.
Examples of standard numbers are 4, 225, or 9,002
A thousands number has 4 digits.
A hundreds number has 3 digits.
A tens number has 2 digits.
A regular number has 1 digit (itself).
Three hundred means 300.
Three hundred thousand, would be 300 times 1,000 (one thousand), or adding 3 zeros.
Two hundred is 200.
One is 1.
300 times 1,000 is 300,000.
300,000 and 200 is 300,200.
If the ones digit has a 1, then the number is 300,201.
Three hundred thousand, two hundred one written in standard form is 300,201.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Three hundred thousand, two hundred one written in standard form is 300,201.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
A thousand number has 4 digits.
A hundred number has 3 digits.
A tens number has 2 digits.
A regular number has 1 digit (itself).
Three hundred means 300.
Three hundred thousand would be 300 times 1,000 (one thousand), or adding 3 zeros.
Two hundred is 200.
One is 1.
300 times 1,000 is 300,000.
300,000 and 200 is 300,200.
If the one digit has a 1, then the number is 300,201.
Three hundred thousand, two hundred one written in standard form is 300,201.
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PLEASE HELP TIMED
The amount that two groups of students spent on snacks in one day is shown in the dot plots below.
Group A
A dot plot titled Group A. A number line going from 0 to 5 labeled Amount in Dollars. There are 0 dots above 0, 5 above 1, 4 above 2, 1 above 3, and 0 above 4 and 5.
Group B
A dot plot titled Group B. A number line going from 0 to 5 labeled Amount in Dollars. There are 0 dots above 0, 3 above 1, 2 above 2, 4 above 3, 0 above 4, and 1 above 5.
Which statements about the measures of center are true? Select three choices.
The mean for Group A is less than the mean for Group B.
The median for Group A is less than the median for Group B.
The mode for Group A is less than the mode for Group B.
The median for Group A is 2.
The median for Group B is 3.
The three statements about the measures of center that are true include the following:
A. The mean for Group A is less than the mean for Group B.
B. The median for Group A is less than the median for Group B.
C. The mode for Group A is less than the mode for Group B.
How to calculate the mean for the set of data?In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:
Mean = [F(x)]/n
Group A
Mean for Group A = [(1 × 5) + (2 × 4) + (3 × 1)]/(5 + 4 + 1)
Mean for Group A = (5 + 8 + 3)/10
Mean for Group A = 16/10
Mean for Group A = 1.6
Mode for Group A = 1
Median for Group A = (1 + 2)/2
Median for Group A = 3/2
Median for Group A = 1.5
Group B
Mean for Group A = [(1 × 3) + (2 × 2) + (3 × 4) + (5 × 1)]/(3 + 2 + 4 + 1)
Mean for Group A = (3 + 4 + 12 + 5)/10
Mean for Group A = 24/10
Mean for Group A = 2.4
Mode for Group B = 3
Median for Group B = (2 + 3)/2
Median for Group B = 5/2
Median for Group B = 2.5
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Answer: A,B,C
Step-by-step explanation:
Fill in the blank for this question!
While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero
How to Interpret an Absolute Value Function?The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.
The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.
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Find the area of the regular pentagon with apothem 3.5 and side. Not drawn to scale.
100 POINTS
SHOW WORK PLEASE
Answer:
52.5 inch square
Step-by-step explanation:
Area of pentagon: A = 1/2 × p × a;
where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.
A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5
The area of the regular pentagon with apothem 3.5 and side 6 is 52.5
What is the area of the regular pentagon?In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.
How to find the area of the regular pentagonGiven the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.
In order to find the area, the formula to calculate the area of the regular pentagon is given by:
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
Where “s” is the side length. And “a” is the apothem length.Now,
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)
\(\text{Area of pentagon} =52.5\)
Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5
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Find g(x), where g(x) is the translation 10 units up of f(x)=x. Write your answer in the form mx+b where m & b are integers.
Answer:
g(x) = x + 10
Step-by-step explanation:
adding a number after x shifts it up b units
subtracting shifts it down
The translated function is g(x)= x+ 10
what is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
f(x)= x
Now, translation 10 units up
So, 10 units will be represented as x+10.
Thus, g(x)= f(x) + 10
g(x)= x+ 10
Hence, g(x)= x+ 10
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(6-2.7h)+(-1.3j-4) find the sum
Answer: -2.7h−1.3j+2
Step-by-step explanation:
you just do 6-4 since those are like terms
London use a semicircle rectangle and a right triangle to form the figure shown .which is the best estimate of the area of the figure in square centimeters ?.
To find the total area of the figure we have to find the area of the semicircle, then the area of the rectangle and the area of the triangle and add them up.
In order to do this we have to identify the radius of the semicircle. The radius is 1/2 the diameter, and the diameter is the height of the rectangle. So the radius is 2cm.
Then the base of the triangle is 10cm minus the length of the rectangle, 6cm. So the base of the triangle is 4cm.
The area of a semicircle is one half the area of a circle.
The area of a circle is
\(A=\pi\cdot r^{2}\)So the area of the semicircle is:
\(A_{semicircle}=\frac{1}{2}\pi\cdot r^2=\frac{\pi}{2}\cdot2^2=2\pi\approx6.28\operatorname{cm}^{2}\)The area of the rectangle is:
\(A_{rec\tan gle}=length\times height=6\operatorname{cm}\times4\operatorname{cm}=24cm^2\)And the area of the triangle is:
\(A_{triangle}=\frac{base\times height}{2}=\frac{4\operatorname{cm}\times4\operatorname{cm}}{2}=8\operatorname{cm}^2\)Finally, the total area of the figure is:
\(\begin{gathered} A_{total}=A_{semicircle}+A_{rec\tan gle}+A_{triangle}=6.28\operatorname{cm}+24\operatorname{cm}+8\operatorname{cm}^{2} \\ A_{total}=38.28\operatorname{cm}^{2} \end{gathered}\)The total area of the figure is 38.28cm² (rounded to the nearest hundredth)
PLEASE HURRY 5MINUTES
Read the excerpt from Blanca Flor.
The Narrator. Juanito took the thimble and started to carry the water from the lake. He worked as hard as he could, but soon he began to realize that the job really was an impossible one, and he knew he was doomed. He sat down and began to cry because his luck had abandoned him and because his parents' blessings offered no protection in that evil place. Blanca Flor watched Juanito's valiant effort to move the water. As she watched him crying, her heart was touched, and she decided to use her powers to help him. She knew that it was very dangerous to use her powers to help Juanito and to cross Don Ricardo, but she felt it was finally time to end her own torment. As Juanito cried, Blanca Flor took out her brush and began to brush his hair. She cradled Juanito in her arms and her soothing comfort soon put him to sleep . . .
[As soon as JUANITO is asleep, BLANCA FLOR gently puts his head down and leaves, taking the thimble with her.]
What do the stage directions at the end of the excerpt indicate?
They indicate that Blanca Flor is going to help Juanito.
They indicate that Juanito is doomed.
They indicate that Blanca Flor is running away.
They indicate that Don Ricardo will be back any minute.
Answer:A
Step-by-step explanation:
because She cradled Juanito in her arms and her soothing comfort soon put him to sleep which means she wanted to help
Answer:
A) It indicates that Blanca Flor is going to help Juanito.
Step-by-step explanation:
Eggs can be packaged 12 ( 1 dozen ) to a carton while English muffins are generally sold in packages of 8 . How many of each would you buy to make egg muffin sandwiches ( 1 egg per muffin ) so that you would use the same number of eggs and muffins with no extra eggs or muffins left over ? Explain how you solved the problem .
Answer:
2 cartons of eggs and 3 bags of English muffins
Step-by-step explanation:
2x12 = 24 and 3x8= 24
Find the 9th term of the geometric sequence 8, 32, 128, ...
Answer:
524,288
Step-by-step explanation:
Hope this helps!
Identify the steps involved in proving p if and only if and (p and q) or (not p and not q) are logically equivalent
Answer:
hello hello hello hello hello hello hello
how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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Solve the equation algebraically. − 6 ( − 10 x − 1 ) − 3 = 10 − 11 ( x + 7 )
Answer: x = -⁷⁰⁄₇₁
Steps: −6(−10x − 1) − 3 = 10 − 11 (x + 7)
Expand: 60x + 3 = -11x - 67
Subtract 3 from both sides: 60x + 3 - 3= -11x - 67 - 3
Simplify: 60x = -11x - 70
Add 11x to both sides: 60x + 11x = -11x - 70 + 11x
Simplify: 71x = -70
Divide both sides by 71: 71x ÷ 71 = -70 ÷ 71
Simplify: x = -⁷⁰⁄₇₁
Plz mark brainliest:)
Step-by-step explanation:
-6( -10x - 1)-3 = 10- 11(x +7)
60x +6 -3= 10- 11x - 77
60x+11x = -67-3
71x = -70
x= -70/71
if is an elementary matrix and is an matrix, then the column space of is the same as the column space of .
Yes, the range of a elementary matrix is the same as its column space, but there is one subtlety.
what is elementary matrix?
A matrix is a collection of numbers arranged in rows and columns. The dimensions of a matrix are defined as the sum of the number of rows and columns, where m and n are the number of rows and columns, respectively.
explanation:
The short answer is, yes, the range of a matrix is the same as its column space, but there is one subtlety.
Given some number m , we can view this number either as a constant, or as a means to define a linear function, f(x)=mx . In a similar vein, we can view a matrix M either as an array of numbers (boring), or as a means to defines a linear function f(x)=Mx .
The term range refers to the set of outputs that f() can return, and is typically defined as a property of functions, not numbers.
The column space, on the other hand, is typically defined as a property of the matrix itself. And since the column space is the set of all possible linear combinations (aka span) of the columns of M , this can be written as {Mx|x∈R} , which is the very range of f above.
Hence, the range of a elementary matrix is the same as its column space, but there is one subtlety.
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The inverse of G(X) is a function.
A. True
B. False
Answer:
true its just a filp with the y and x and resolved
Step-by-step explanation:
(Geometry) PLZ HELP ASAP
Answer:66.4
Step-by-step explanation:
\(A_{semicircle} =\frac{1}{2} \pi r^2=\frac{1}{2} \pi (\frac{13}{2} )^2= 66.36614 \approx66.4\)
The article "Determination of Most Representative Subdivision" gave data on various characteristics of subdivisions that could be used in deciding whether to provide electrical power using overhead lines or underground lines. Data on the variable x = total length of streets within a subdivision are as follows.
1280 5320 4390 2100 1240 3060 4770 1050 360 3330 3380 340 1000 960 1320 530 3350 540 3870 1250 2400 960 1120 2120 450 2250 2320 2400 3150 5700 5220 500 1850 2460 5850 2700 2730 1670 100 5770 3150 1890 510 240 396 1419 2109
(a) Fill in a stem-and-leaf display for these data using the thousands digit as the stem. Do not truncate numbers. For example, number 2380 has stem-"2" and leaf-"380". (Enter solutions from smallest to largest. Separate the numbers with spaces.)
0 100 240 340 360 396 396 450 500 510 530 540 960 960
(b) Fill in the table below. (Round your answer to four decimal places if needed.)
Class Interval Frequency Relative Frequency
0 - <1000
2000 - < 3000
4000 - < 5000
5000 - < 6000
(c)
What proportion of subdivisions has total length less than 2000?
What proportion of subdivisions has total length between 2000 and 4000? (Round your answer to four decimal places if needed.)
a) The data is not symmetric
b) The complete table:
Class interval Frequency Relative Frequency
0-1000 12 0.255319151000-2000 11 0.234042552000-3000 10 0.212765963000-4000 7 0.148936174000-5000 2 0.04255319 5000-6000 5 0.10638298c) Proportion of subdivisions has total length less than 2000 is 0.49
Proportion of the subdivisions has total length between 2000 and 4000 is 0.36
a) To draw the stem and leaf plot we take the thousandth place digit as stem and the leaf is obtained by remaining digits.
Stem Leaf
0 360, 340, 960, 530, 540, 960, 450, 500, 100, 510, 240, 3961 280, 240, 050, 000, 320, 250, 850, 670, 890, 4192 100, 400, 120, 250, 320, 400, 460, 700, 730, 1093 060, 330, 380, 350, 870, 150, 1504 390, 7705 320, 700, 220, 850, 770The data is not symmetric
b) To draw the histogram first we form the frequency distribution and the relative frequency using the formula
Relative Frequencies are given by
Relative frequency = Frequency / Total frequency
Class interval Frequency Relative Frequency
0-1000 12 0.255319151000-2000 11 0.234042552000-3000 10 0.212765963000-4000 7 0.148936174000-5000 2 0.04255319 5000-6000 5 0.10638298= 47
Histogram attached at end of solution
The histogram is approximately positively skewed.
c) Proportion of lengths less than 2000 = sum of relative frequency from 0 to 2000
= 0.26 + 0.23
Proportion of subdivisions has total length less than 2000 = 0.49
Proportion of length between 2000 and 4000 = sum of relative frequency between 2000 and 4000
= 0.21 + 0.15
Proportion of the subdivisions has total length between 2000 and 4000 = 0.36
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Celine is 6 years younger than her sister Cindy. She is also one third as old as Cindy.
Select two equations of a system that can be solved to find both ages.
a. 3x-6y=0
b. 3x-y=0
c. y-x=6
d. x-y=6
The two equations of a system that can be used to find the ages of both girls are y - x = 6 and 3x - y = 0.
What is system of equations?A group of two or more equations that must be solved all at once is known as a system of equations. The objective is to determine the values of the variables that make both equations true in a system of two equations with two variables. These numbers represent the system of equations' answer. There are several ways to solve a system of equations, including substitution, elimination, and graphing. They are used to simulate and resolve issues in many branches of mathematics, science, engineering, and other disciplines.
Let us suppose the age of Celine = x.
Let us suppose the age of Cindy = y.
Given that, Celine is 6 years younger than her sister Cindy.
x = y - 6
She is also one third as old as Cindy.
x = 1/3y or y = 3x.
Substitute the value of y in equation 1:
x = 3x - 6
6 = 2x
x = 3
Substitute the value of x:
y = 3(3) = 9
Hence, the two equations that can be used to find the ages of both girls are y - x = 6 and 3x - y = 0.
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plz help and hurry I’ll mark u Brainlyest
Answer:
I think its Regina
Step-by-step explanation:
cause I cross multiplied all the numbers by I which represented an hour and Regina had the lowest