Let A be a set With 12 elements. (a) Find the number of subsets of A. (b) Find the number of subsets of A having one or more elements. (c) Find the number of subsets of A having exactly one element. (d) Find the number of subsets of A having two or more elements. [Hint: Use the answers to parts (b) and (c).]
Answers
(a) Total Number of Subsets of A:
In set theory, any set is a subset of itself. Additionally, the empty set is a subset of every set. As a result, there are 2^12 subsets of A.
Number of Subsets of A = 2^12 = 4096
(b) Number of Subsets of A having One or More Elements:
To find the number of subsets of A having one or more elements, we must subtract the empty set from the total number of subsets of A.
∴ Number of Subsets of A having One or More Elements = (2^12) − 1 = 4095
(c) Number of Subsets of A having Exactly One Element:
We can use the formula given below to compute the number of subsets of A having exactly one element. Here, n represents the number of elements in the set.
Formula: nC1 = n
∴ Number of Subsets of A having Exactly One Element = 12C1 = 12
(d) Number of Subsets of A having Two or More Elements:
Using parts (b) and (c), we can obtain the number of subsets of A having two or more elements by subtracting the number of subsets of A having exactly one element from the number of subsets of A having one or more elements.
∴ Number of Subsets of A having Two or More Elements = (2^12) − 1 − 12 = 4083.
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Related Questions
solve for m
8m=4 simplify
Answers
Answer:
Isolate the mDivide both sides by 8:Simplify the fraction:Find the greatest common factor of the numerator and denominator:Factor out and cancel the greatest common factor:
Then you get m=1/2
Step-by-step explanation:
I know it's not A. I need help please
Answers
Answer:
139 degrees
Step-by-step explanation:
The sum of the interior angles of a polygon :
sum = ( n-2) * 180 where n = number of sides
For this one there are 5 sides
so ( 5-2) * 180 = 540 degrees
angle U = 90 degrees
90 + 82 + Y + 121 + 108 = 540 Y=139 degrees
Answer:
It is C. 139
Step-by-step explanation:
Angles of TVXXYZ is 720 degrees. We know that angles Z, W and X are 82 degrees, 108 degrees and 121 degrees (311 degrees after adding them). T= 180-28=152 degrees
V=90+28=118 degrees
152+118=270 degrees
270+311=581
720-581=139 degrees
The answer is C. 139 degrees
Suppose a department contains 10 men and 15 women. a) How many ways are there to form a committee of 6 people from the department? Explain your answer. b) How many ways are there to form a committee of 6 people from the department, if the number of men in the committee is equal to the number of females in the committee? Explain your answer. c) How many ways are there to form a committee of 6 people from the department, if the number of men in the committee is less than the number of females in the committee? Explain your answer.
Answers
a) The number of ways to form a committee of 6 people from the department is 177,100.
b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.
c) The number of ways to form a committee of 6 people with more women than men is 91,455.
a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.
The number of ways to choose 6 people from a group of 25 is given by the combination formula:
C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100
Therefore, there are 177,100 ways to form a committee of 6 people from the department.
b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.
The number of ways to choose 3 men from 10 is given by the combination formula:
C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120
Similarly, the number of ways to choose 3 women from 15 is:
C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455
To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:
Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600
Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.
c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.
For 1 man and 5 women:
Number of ways to choose 1 man from 10: C(10, 1) = 10
Number of ways to choose 5 women from 15: C(15, 5) = 3,003
For 2 men and 4 women:
Number of ways to choose 2 men from 10: C(10, 2) = 45
Number of ways to choose 4 women from 15: C(15, 4) = 1,365
The total number of ways to form a committee with more women than men is the sum of these two cases:
Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)
= 10 * 3,003 + 45 * 1,365
= 30,030 + 61,425
= 91,455
Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.
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Question 3 - 1 Point
Dec 14, 8:58:20 AM
ZA and ZB are complementary angles. If m_A = (2x + 30) and m
ZB= (6x 12), then find the measure of ZA.
Submit Answer
Answer:
Answers
Answer:
m∠A=42
Step-by-step explanation:
Since they are complementary they must add up to 90°.
(2x+30)+(6x+12)=90
We can just remove parenthesis since you can't really do anything with them.
2x+30+6x+12=90
Combine like terms.
8x+42=90
Do inverse to find the value of x.
8x=48
x=6
Now since we are looking for the m∠A and not x we need to replace the x with the value of x in the ∠A equation.
(2(6)+30)
(12+30)
m∠A=42
Triangle ABC ~ triangle DEF. Use the image to answer the question.
Determine the measurement of EF.
EF = 1.1
EF = 1.39
EF = 2.37
EF = 3.3
Answers
Answer:
EF = 2.37
Step-by-step explanation:
It's given that these are similar triangles.
In similar triangles, the side lengths are proportional.
We can write the following equation based on this information:
\( \frac{11}{3.3} = \frac{7.9}{ef} \)
Cross multiply fractions11EF = 27.03
Divide both sides by 11EF = 2.37
SOLVE EACH PROPORTION
Answers
The linear equation can be solved by using arithmetic operation the answer for 13 is 27/4 etc.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
13)
9/16 = x/12
x = 27/4
14)
(x - 13)/18 = 12/9
x = 37
15)
7/11 = 18/(x+1)
x = 191/7
16)
(3x-4)/14 = 9/10
x = 83/15
17)
17/15 = 10/(2x -2)
x = 92/17
18)
(x - 16)/(x + 6) = 3/5
x = 49
Thus, the linear equation can be solved by using arithmetic operation the answer for 13 is 27/4 etc.
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Monica put 1 liter, 6 deciliters, 7 centiliters, and 8 milliliters of water into a bowl. How many milliliters of water did she put in the bowl?
Answers
Answer:
1,678 mililiters
Step-by-step explanation:
The first step is to convert the various volumes to millilitres
1 liter to millilitre
= 1 × 1000
= 1000 mililters
6 deciliter to millilitre
= 6 × 100
= 600 millilitres
7 centilitres to millimetres
= 7×10
= 70 millimetres
Therefore the amount of millilitres put on the bowl by Monica can be calculated as follows
= 1000 + 600 + 70 + 8
= 1,678 mililiters
solve the equation 2x^2-4x+3=0 using the quadratic formula.
Answers
For this equation a=2 b=-4 c=3
When you replace the values you get
4+ or - sqrt(-4^2 -4(2)(3) ) /2(2)
First you should simplify what is being square rooted
-4^2 -4(2)(3) = 16 - 24 = -8
now you have 4+ or - sqrt(-8) / 2x2 or 4
Now you can divide the 4 by the 4 which just cancels out and leaves 1
So you should now have 1+ or - sqrt(-8) and since -8 cannot be square rooted you know that the parabola does not touch the x-axis meaning there are no REAL solutions to this equation or no zeros in other words.
Answer: x=1+- sqrt(-8)
Hope this made sense! this is a hard one to explain.
Answer:
\(x=\dfrac{2+ \sqrt{2}\:i}{2}, \quad x=\dfrac{2-\sqrt{2}\:i}{2}\)
Step-by-step explanation:
Quadratic formulaThe quadratic formula is a mathematical formula used to solve quadratic equations. It provides the solutions for an equation of the form ax² + bx + c = 0, where a, b, and c are constants, and x represents the variable.
The quadratic formula is given by:
\(\boxed{x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\quad\textsf{where }\:ax^2+bx+c=0}\)
\(\hrulefill\)
Given quadratic equation:
\(2x^2 - 4x+3=0\)
To solve the given quadratic equation using the quadratic formula, first identify the coefficients a, b, and c in the given equation:
a = 2b = -4c = 3Substitute the values of a, b, and c into the quadratic formula and solve for x:
\(x=\dfrac{-(-4) \pm \sqrt{(-4)^2-4(3)(2)}}{2(2)}\)
\(x=\dfrac{4 \pm \sqrt{16-24}}{4}\)
\(x=\dfrac{4 \pm \sqrt{-8}}{4}\)
Since the expression under the square root is negative, we have complex solutions:
\(x=\dfrac{4 \pm \sqrt{8\cdot(-1)}}{4}\)
\(x=\dfrac{4 \pm \sqrt{8}\sqrt{-1}}{4}\)
\(x=\dfrac{4 \pm 2\sqrt{2}\:i}{4}\)
Simplify by dividing the numerator and denominator by 2:
\(x=\dfrac{2\pm \sqrt{2}\:i}{2}\)
\(\hrulefill\)
SolutionsTherefore, the solutions to the equation 2x² - 4x + 3 = 0 are:
\(x=\dfrac{2+ \sqrt{2}\:i}{2}, \quad x=\dfrac{2-\sqrt{2}\:i}{2}\)
Here i a ample data et, 19 39 9 33 15 16 2 33 16 Find the mallet number (Minimum) from the data et Find the firt quartile Q1 Find the median Find the third quartile Q3 Find the larget number (Maximum) from the data et
Answers
a) The smallest number is 2
b) The first quartile Q1 is 12
c) The median is 16
d) Third quartile Q3 is 33
e)The largest number is 39
What Is Quartile Formula?
To divide a set of observations into four equal pieces, use the quartile formula. The median and the first term are where the first quartile is located. The median represents the middle quartile. The third quartile represents the midway value that falls between the median and the last term.
Given data set:
19, 39, 9, 33, 15, 16, 2, 33, 16
Arrange the data in ascending order:
2, 9 ,15 ,16 ,16 ,19 ,33 ,33 ,39
a) Smallest number: 2
b) The first quartile Q1 :
number of terms=n=9
Q1= (n+1)/4 th term
Q1= (9+1)/4 = 2.5th terms
This means, Q1=mean of 2nd and 3rd terms= (9+15)/2 = 12
c) Median:
M=(n+1)/2 th term = (9+1)/2 =5th term = 16
d) Third quartile Q3:
Q3= 3[(n+1)/4] th term
Q3= 3[(9+1)/4] = 7.5th terms
This means, Q3=mean of 7th and 8th terms= (33+33)/2 = 33
e) largest number : 39
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for what values of x is x2 2x = 24 true?–6 and –4–4 and 64 and –66 and 4
Answers
The correct answer is -6 and 4. The values of x for which the equation x^2 + 2x = 24 is true are x = 4 and x = -6.
To find the values of x for which the equation x^2 + 2x = 24 is true, we need to solve the equation.
First, we can rewrite the equation as x^2 + 2x - 24 = 0.
Next, we can factor the quadratic equation:
(x - 4)(x + 6) = 0
Setting each factor equal to zero and solving for x, we get:
x - 4 = 0 -> x = 4
x + 6 = 0 -> x = -6.
The values of x that satisfy the equation x^2 + 2x = 24 are x = 4 and x = -6.
Verifying these values by substituting them back into the equation:
For x = 4: 4^2 + 2(4) = 16 + 8 = 24 (True)
For x = -6: (-6)^2 + 2(-6) = 36 - 12 = 24 (True)
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five-team tournament, each team plays one game with every other team. each team has a 50% chance of winning any game it plays. (there are no ties.) let m n be the probability that the tournament will produce neither an undefeated team nor a winless team, where m and n are relatively prime integers. find m n
Answers
The value of integers m and n is 17 and 32 respectively.
Here, we are given that in a five-team tournament, each team plays one game with every other team.
Chance of winning = 50% or 1/2
We need to find the probability that at least one team wins all games or at least one team loses all games. We can use complementary counting to do so.
Each team will play 4 matches.
Probability that there is one team which wins all games = \(5*1/2^{4}\)
= 5/16
Similarly, the probability that there is one team which loses all games = 5/16
The probability that one team wins all games and another team loses all games = \([5(1/2)^{4} ][4(1/2^{3})]\)
= (5/16)(4/8)
= 5/32
Now, 5/16 + 5/16 - 5/32 = 15/32
Since this is the complement of the probability we want, we subtract it from 1 to get (1- 15/32) = 17/32
Thus, the value of integers m and n is 17 and 32 respectively.
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Obtain the general solution to the equation. +rtan 0 = 6 sec 0 tan 0 de The general solution is r(0)=, ignoring lost solutions, if any.
Answers
The general solution to the equation +rtan 0 = 6 sec 0 tan 0 de is r = 6/cos 0.
This means that r can take any value that satisfies this condition, as long as there are no lost solutions.
To obtain the general solution, we start by simplifying the equation using trigonometric identities. We know that sec 0 = 1/cos 0, and we can substitute this into the equation to get:
r tan 0 = 6/cos 0 tan 0
Dividing both sides by tan 0, we get:
r = 6/cos 0
This is the general solution to the equation, as r can take any value that satisfies this condition. However, it is important to note that there may be lost solutions, which occur when the simplification process involves dividing by a variable that may be equal to zero for certain values of 0. Therefore, it is important to check for such values of 0 that may result in lost solutions.
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the radius of a circle is increasing at a certain instant the rate of increase in the area of the circle is numericallt equa to twice the rate of increase in its circumference. what is the raduis of teh circle at that instant
Answers
So the radius of the circle at that instant is 1.
Let's call the radius of the circle at that instant "r."
The formula for the area of a circle is A = pi * r^2 and the formula for the circumference of a circle is C = 2 * pi * r.
If the rate of increase in the area of the circle is numerically equal to twice the rate of increase in its circumference, we can set up the following equation:
2 * (2 * pi * r) = (pi * r^2)
Solving this equation for r, we find that the radius of the circle at that instant is r = 1.
So the radius of the circle at that instant is 1.
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If a cylinder with height 9 inches and radius ris filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 2r fill? ( Just type the whole number answer .)
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
cylinders
h = 9 in
radius = r (in )
V = volume (in ³ )
Step 02:
a.
volume of a cylinder:
V = π r ² h
radius = 1 in
V1 = π (1 in)² * 9 in = 9 π in³
radius = 2 in
V1 = π (2 in)² * 9 in = 36 π in³
radius = 3 in
V1 = π (3 in)² * 9 in = 243 π in³
Table
radius Volume
row 1 1 9 π
row 2 2 36 π
row 3 3 243 π
Step 03:
b. Is there a linear relationship between the radius and the volume of these cylinders?
Yes, because the greater the radius, the greater the volume.
Step 04:
c.
cylinder pitcher:
h = 9 in
r = r
V = π r ² h
Vcp = π r ² 9 in = 9 π r ² in ³
cylinder:
h = 9 in
r = 2r
V = π r ² h
Vc = π (2r) ² 9 in = 36 π r ² in ³
# pitchers = Vc / Vcp
= 36 π r ² in ³ / 9 π r ² in ³
= 4
It can fill 4 pitchers
That is the full solution.
Ben earns an annual income of $12,800 a year. The income tax he has to pay is 15%. What is the amount of income tax in dollars and cents that the Ben has to pay?
Answers
Answer:
$
1
,
920
Explanation:
Find
15
%
×
12800
15
100
×
12800
1
=
$
1
,
920
Step-by-step explanation:
How do you decide in what way to reorder the terms of expression when simplifying it
Answers
We use the PEMDAS to reorder the terms of expression when simplifying it.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
We use the PEMDAS to reorder the terms of expression when simplifying it.
The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.
Therefore, use PEMDAS to simplify any expression.
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22(4+16)=
A. 404
B. 440
C. 504
D. 540
Answers
Answer:
b. 440
Step-by-step explanation:
1. use PEDMAS (parenthesis, exponent, division, mulitply, add, subtract)
\((4+16)22=20*22\)
22*2=44
22*20=440
Which expression uses the associative property to make it easier to evaluate
6.)?
O A. (6)
O B. (6-3);
OC. 6(3)
OD D. 3(5.5)
Answers
9514 1404 393
Answer:
B
Step-by-step explanation:
The associative property just moves parentheses, without changing the values or order of the operands. The only expression for which that is true is ...
B. (6·1/3)·7/5
W more than the sum of 58 and some number s
Answers
Answer:
I don't get it but here's some numbers; 7389292746219237363288283636382829923837473
Answer:
(58+s)+w
Step-by-step explanation:
You have to find 58+s First then add W
Hope This Helps!!
Solve this system of equations using the ELIMINATION method.
3x - 2y = 1
2x + 2y = 4
Answers
hope this helps please like and mark as brainliest
Answer:
x = 1
y = 1
Step-by-step explanation:
3x - 2y = 1
2x + 2y = 4
3x - 2y + 2x + 2y = 1 + 4
3x + 2x = 5
5x = 5
5x ÷ 5 = 5 ÷ 5
x = 1
2x + 2y = 4
2(1) + 2y = 4
2 + 2y = 4
2 - 2 + 2y = 4 - 2
2y = 2
2y ÷ 2 = 2 ÷ 2
y = 1
Check:
3x - 2y = 1
3(1) - 2(1) = 1
3 - 2 = 1
x and y being 1 works for the first equation.
2x + 2y = 4
2(1) + 2(1) = 4
2 + 2 = 4
x and y being one works for both equations.
May I please have the correct answer please? I will give you whatever you want
Answers
= 1/4^3
=1/4x4x4
=1/64
Multiple Representations of a Story Juan is ordering a flower arrangement online for Valentine's Day. Each rose costs $5 and the vase sells for $10. enter the equation of the line
Answers
Let:
r be the number of roses
c be the cost of a flower arrangement
Let's consider that a flower arrangement has 1 vase and "r" roses.
Then, the cost of a flower arrangement is:
c = cost of vase + cost of roses
c = 10 + 5r
Which is the same as
c = 5r + 10
Answer:
c = 5r + 10
The table shows the relationship between the side lengths of a regular pentagon and its perimeter
Answers
Using the perimeter and side length table the value for equation is option B: P = 5s.
What is perimeter?
The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.
Let the perimeter be denoted by P.
Let the side length be denoted by s.
The first value for P is 5 and for s is 1.
The equation will be -
P/s = 5/1
P = 5s
The second value for P is 10 and for s is 2.
The equation will be -
P/s = 10/2
P/s = 5/1
P = 5s
The third value for P is 15 and for s is 3.
The equation will be -
P/s = 15/3
P/s = 5/1
P = 5s
Therefore, the equation is obtained as P = 5s.
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The table shows the relationship between the side lengths of a regular pentagon and its perimeter.
Which equation shows the relationship between the side length and the perimeter of a regular pentagon?
A. P = s + 5
B. P = 5s
C. P = 1/5s
D. P= 5s + 5
a survey of 100 randomly selected customers found the mean age was 31.84 years. assume the population standard deviation for age was 9.84 years.2.find the margin of error if we want a 90% confidence interval for the true population mean age?a.1.62b.30.22c.5.83d.4.57e.9.84
Answers
The margin of error if we want a 90% confidence interval for the true population mean age is calculated to be 1.62 years, therefore option (a) is correct.
We can use the formula for the margin of error:
Margin of error = z × (σ / √(n))
where z is the z-score for the desired level of confidence, σ is the population standard deviation, and n is the sample size.
For a 90% confidence interval, the z-score is 1.645. Substituting the given values, we get:
Margin of error = 1.645 × (9.84 / √(100)) = 1.62
Therefore, the margin of error is 1.62 years, which is option (a).
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Find the quotient of the quantity 21 times ten raised to the negative twenty first power end quantity divided by the quantity 7 times ten raised to the negative twenty first power end quantity.. write the final answer in scientific notation. 3 x 10−42 3 x 100 3 x 1021 3 x 1042
Answers
Answer:3x10^0 or 3x10 to the power of 0
Step-by-step explanation:
I did the same exact one with my teacher i hope this helps you
For a particular model of watch, consumers will demand 92 items when the price is $231, and demand 228 items when the price is reduced to $129. For the same watch, suppliers are willing to sell 54 watches when the price is $102, and 258 watches when the price is $204. Give the linear equation, in slope intercept fo, for the demand of this product. Remember, we want the fo p = mq+b. Reduce your slope to simplest tes as a fraction or as a decimal to two places of accuracy.
Answers
The slope is 4/3, and the y-intercept is 49.33 of liner equation.
The given demand and price values are shown below:
Price, p: 231, 129
Demand, q: 92, 228
From the given data we can find the slope and y-intercept to find the linear equation in the slope-intercept form.
Linear equation in slope-intercept form is y = mx + b.
where
y is the dependent variable,
x is the independent variable,
m is the slope and b is the y-intercept.
The slope is defined as the change in the dependent variable divided by the change in the independent variable.
m = (change in demand/change in price)
By using the above formula we can find the slope of the linear equation. Let's substitute the values in the above formula.
m = (228 - 92)/(129 - 231)m = -136/-102m = 1.3333 or 4/3
Now, we know the slope of the linear equation. Next, let's find the y-intercept.
The linear equation is represented as p = mq + b,
where p is the price,
m is the slope,
q is the quantity demanded, and
b is the y-intercept.
To find the value of b, let's substitute the slope value and any of the above-given points.
Let's take (231, 92).p = mq + b231 = 4/3(92) + bb = 231 - 4/3(92)b = 49.33
Thus the equation for the demand for this product is: p = mq + bp = (4/3)q + 49.33
The slope is 4/3, and the y-intercept is 49.33.
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Given: ABCD is a quadrilateral, Segment AB is congruent to Segment CD, <1 is congruent to <2 Prove: ABCD is a parallelogram
Answers
Since opposite angles and sides are equal, then the quadrilateral ABCD is a parallelogram.
Given that, ABCD is a quadrilateral, segment AB is congruent to segment CD, ∠1 is congruent to ∠2.
We need to prove that ABCD is a parallelogram.
How to prove a given quadrilateral is a parallelogram?If one pair of opposite sides of a quadrilateral are both parallel and congruent, then it’s a parallelogram.
From the given quadrilateral ABCD:
AB=CD (Given)
∠1=∠2 (Given)
AC=AC (Diagonal)
From ASA congruency ΔABC and ΔADC are congruent.
By CPCT, AD=BC and ∠ABC=∠ADC.
Since opposite angles and sides are equal, then the quadrilateral ABCD is a parallelogram.
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x-2y = 1
3x-6y=3
Solve by substitution
Show work
Answers
Answer:
infinite number of solutions
Step-by-step explanation:
x - 2y = 1 ( add 2y to both sides )
x = 1 + 2y → (1)
3x - 6y = 3 → (2)
substitute x = 1 + 2y into (2)
3(1 + 2y) - 6y = 3 ← distribute parenthesis on left side and simplify
3 + 6y - 6y = 3 ( subtract 3 from both sides )
0 = 0 ← true statement
this indicates the system has an infinite number of solutions
Which theorem shows that △ABC ≅ △DEF?There
are two triangles, triangle ABC and triangle DEF. Side AB is congruent
to side DE, side AC is congruent to side DF, side BC is congruent to
side EF.
A. The triangles are not congruent.
B. SAS Triangle Congruence Theorem
C. Isosceles Triangle Theorem
D. SSS Triangle Congruence Theorem
Answers
Answer:
D
Step-by-step explanation:
The correct answer is D. The SSS Triangle Congruence Theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. In the given situation, triangle ABC and triangle DEF are congruent because all three sides of triangle ABC are congruent to the corresponding sides of triangle DEF.
Anna is ordering a taxi from an online taxi service. She has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far she travels. She wrote an equation to represent her total cost, y=3+2. 3xy=3+2. 3x, where yy represents the total cost in dollars and cents, and xx represents the number of miles she travels. What could the number 3 represent in the equation?.
Answers
Answer:
The number 3 represents the fixed cost in the equation which is the flat charge.