4. Angel had money saved for Christmas shopping. He spends $12.15 on the first gift he buys. He has $40.59 left in his account. Write and solve an equation to determine how much money Andrew had before he bought the gift.
Answers
Related Questions
4. If you want to save your total contribution for all 4 years before you start attending college,
how much do you need to save each month if you have 4 years to accomplish your goal?
Answers
You need to save $62.06 each month for four years to achieve your total contribution goal before starting college.
First, 5% of the total cost for four years.
= 0.05 x ($14,895.00/yr x 4 years)
= 0.05 x $59,580.00
= $2,979.00
Second, Divide the total amount you need to pay over four years by the number of years.
= $2,979.00 / 4
= $744.75
Therefore, you need to pay $744.75 for each year of attending college.
Now, the total contribution goal.
= Amount to pay each year x 4 years
= $744.75 x 4
= $2,979.00
and, Monthly savings required
= Total contribution goal / 48 months
= $2,979.00 / 48
= $62.06
Therefore, you need to save $62.06 each month for four years to achieve your total contribution goal before starting college.
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Find the surface area for a sphere with a radius of 10 feet. Round to the nearest whole number.
a. 1,256 ft2
b. 4,189 ft2
c. 1,089 ft2
d. 1,568 ft2
Answers
The required surface area of the sphere with radius 10 feet is given by option a. 1,256 ft².
Let us consider 'r' be the radius of the sphere.
Radius of the sphere 'r' = 10 feet
Surface area of the sphere = 4 π r²
Substitute the value of radius in the formula we get,
⇒ Surface area of the sphere = 4 π × ( 10 )²
Substitute value of π is equal to 3.14 we get
⇒ Surface area of the sphere = 4 × 3.14 × ( 10 )²
⇒ Surface area of the sphere = 12.56 × 100
⇒ Surface area of the sphere = 1,256 square feet.
Therefore, the surface area of the sphere is equal to option a. 1,256 ft².
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Assume a security follows a geometric Brownian motion with volatility parameter sigma=0.2. Assume the initial price of the security is $25 and the interest rate is 0. It is known that the price of a down-and-in barrier option and a down-and-out barrier option with strike price $22 and expiration 30 days have equal risk-neutral prices. Compute this common risk-neutral price.
Answers
The common risk-neutral price for both the down-and-in barrier option and the down-and-out barrier option is approximately $1.7036.
The risk-neutral price of both options can be determined by using the formula for European call options, adjusted for the barrier feature. Here's how we can calculate the common risk-neutral price:
1. Define the variables:
S = Initial price of the security = $25
K = Strike price of the options = $22
T = Time to expiration = 30 days (assuming 252 trading days in a year)
r = Risk-free interest rate = 0
σ = Volatility parameter = 0.2
2. Calculate the risk-neutral drift (μ):
The risk-neutral drift, μ, is calculated as (r - σ^2/2). Since r is 0, we have:
\(μ = -σ^2/2 = -0.2^2/2 = -0.02\)
3. Calculate the risk-neutral probability of hitting the barrier (p):
The risk-neutral probability, p, is calculated using the formula:
p = exp(-2μ√T)
Substituting the values, we get:
p = exp(-2*(-0.02)*√(30/252)) ≈ 0.9705
4. Calculate the common risk-neutral price:
To calculate the risk-neutral price, we need to consider both the down-and-in and down-and-out options.
The risk-neutral price of the down-and-in option is given by:
Price_DI = S * N(d1) - K * exp(-rT) * N(d2)
The risk-neutral price of the down-and-out option is given by:
Price_DO = Price_DI - (p^(T/252))
We need to calculate the values of d1 and d2, which are defined as follows:
d1 =\((ln(S/K) + (r + σ^2/2)T) / (σ√T)\)
d2 = d1 - σ√T
5. Calculate d1 and d2:
d1 = \((ln(S/K) + (r + σ^2/2)T) / (σ√T)\)
= (ln(25/22) + (0 + 0.2^2/2)*(30/252)) / (0.2√(30/252))
≈ 0.3162
d2 = d1 - σ√T
≈ 0.3162 - 0.2√(30/252)
≈ 0.1933
6. Calculate the common risk-neutral price:
Price_DI = S * N(d1) - K * exp(-rT) * N(d2)
Price_DO = Price_DI - (p^(T/252))
Using the Black-Scholes formula, we can calculate the common risk-neutral price:
Price_DO = 25 * N(0.3162) - 22 * exp(0) * N(0.1933) - (0.9705^(30/252))
≈ 5.1722 - 2.5027 - 0.9659
≈ 1.7036
Therefore, the common risk-neutral price for both the down-and-in barrier option and the down-and-out barrier option is approximately $1.7036.
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On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞)
Answers
The correct statement is that F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
What is value?Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.
This can be seen by looking at the function's minimum and maximum values and its points of intersection with the x- and y-axes. The minimum value of (1.9, negative 5.7) is to the left of the x-axis, indicating that the function is negative over the interval (-0.7, 0.76). The maximum value of (0, 2) is above the x-axis, indicating that the function is negative over the interval (2.5, ∞).
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what is the value of f(x)=23.2x+2.5 when x =-4.2
Answers
Answer:
− 94.94
Step-by-step explanation:
Answer:
f(x) -97.44 +2.5
Step-by-step explanation:
1(2)(3)(4)
Please answer this in PEMDAS And correctly please! :)
Answers
Answer:
Step-by-step explanation:
24
Answer:
24
Step-by-step explanation:
1 x 2 x 3 x 4 = 2 x 3 x 4
= 6 x 4
= 24
Find the value of x in the triangle shown below.
Choose 1 answer:
D) x=8
Answers
Answer:
B is the correct answer 100%.....\(b \: \: \sqrt{32} \)
Hopes to get BRAINLIESTThank you ☺️☺️☺️☺️
Find the Volume and surface area of the pyramid ( HELP PLEASE… FINALS ARE TOMORROW)
Answers
Answer:
i put it down below
Step-by-step explanation:
Volume of Pyramid: The volume of a pyramid is the amount of space it occupies and is equal to one third of the product of the area of the base and the height. V = (1/3) * (A * h) Surface Area of Pyramid: The surface area of a pyramid is the sum of the areas of its triangular faces. SA = (A + A + 2A + 2A + 2A + 2A + 3A ) / 2
Write an absolute value inequality for each of the following. Then graph the
solution set on a number line.
all numbers less than 7and greater than -7
Answers
An absolute value inequality for "all numbers less than 7 and greater than -7" is given by |x| < 7.
How to write an absolute value inequality?Based on the information provided, we can logically deduce that the statement describes an intersection of set because the word "and" was used.
This ultimately implies that, we would use the less than (<) symbol to write an absolute value inequality for the given statement:
|x| < 7
Therefore, this can be translated as follows:
-7 < x < 7 or x < 7 and x > -7.
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Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Answers
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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if the mean is 9,8,10,x,14 is 11 then find the value of x
Answers
The value of x is 14
In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organised in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.
To find the mean, add up all the numbers and then divide by the number of numbers
(9+ 8+10+ x+14)/5 = 11
Multiply each side by 5
9+ 8+10+ x+14 = 55
Combine like terms
41 +x = 55
Subtract 41 from each side
x =14
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I need Help on this question
Answers
Answer:
Step-by-step explanation:
22/25, 6, 6.21, 137/20, 6.885
THEOREM 5 If A is an invertible n x n matrix, then for each b in R", the equation Ax = b has the unique solution x = A-'b.
PROOF Take any b in R" A solution exists because if A-lb is substituted for x, then AX = A(A-1b) = (AA-))b = Ib = b. So A-1b is a solution. To prove that the solution is unique, show that if u is any solution, then u, in fact, must be A-'b. Indeed, if Au = b, we can multiply both sides by A- and obtain
A- Au = A-'b, Tu= A-'b, and u=A-'b
The Invertible Matrix Theorem
Let A be a square n x n matrix. Then the following statements are equivalent. That is, for a given A, the statements are either all true or all false.
a. A is an invertible matrix.
b. A is row equivalent to the n x n identity matrix.
c. A has n pivot positions. d. The equation Ax = 0 has only the trivial solution.
e. The columns of A form a linearly independent set.
f. The linear transformation x H Ax is one-to-one.
g. The equation Ax = b has at least one solution for each b in R".
h. The columns of A span R".
i. The linear transformation x # Ax maps R" onto R".
j. There is an n x n matrix C such that CA = I.
k. There is an n x n matrix D such that AD = I.
l. AT is an invertible matrix.
Because of Theorem 5 in Section 2.2, statement (g) in Theorem 8 could also be written as "The equation Ax = b has a unique solution for each b in R" " This statement certainly implies (b) and hence implies that A is invertible.
These are in David C. Lay's Linear Algebra fifth edition.
My question is: Why (g) and Theorem 5 are equivalent? I think (g) also include the infinite solutions case and unique solution case. So they are not equivalent.
Answers
(g) and Theorem 5 are not equivalent.
Are (g) and Theorem 5 equivalent?
You are correct. Statement (g) in Theorem 8, which states that the equation Ax = b has at least one solution for each b in R", includes both the case of a unique solution and the case of infinitely many solutions.
Therefore, (g) is not equivalent to Theorem 5, which specifically states that the equation Ax = b has a unique solution x = A^(-1)b when A is an invertible matrix. The equivalence mentioned in the text seems to be an error or a misinterpretation.
The correct interpretation is that Theorem 5 implies statement (g) in Theorem 8, but the converse is not necessarily true.
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The product of the slopes of two nonvertical perpendicular lines is:________
Answers
The product of the slopes of two non-vertical perpendicular lines is always -1.
It is NOT possible for two perpendicular lines to both have a positive slope because the product of two positives is positive. So for the product of the slopes to be -1, one of the slopes must be positive and the other negative.
Understanding Perpendicular LinesThe definition of perpendicular lines is lines that intersect and at the point of intersection they form a right angle of 90°.
In determining the gradient of two mutually perpendicular when multiplied it will produce the number -1. So the formula used is:
y = mx + c
Meanwhile, the gradient formula is m1 = -1/m2.
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1.
(03. 01 MC)
Part A: Find the LCM of 8 and 9. Show your work. (3 points)
Part B: Find the GCF of 35 and 63. Show your work. (3 points)
Part C: Using the GCF you found in Part B, rewrite 35 + 63 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)
Answers
The LCM of 8 and 9 is 72. The GCF of 35 and 63 is 7.35 + 63 can also be written as 7 X 14.
Part A
Here we have been given 2 numbers 8 and 9. We need to find the LCM. LCM is the Lowest Common Multiple. It is the smallest number which can be divided by all the mentioned number. To take the LCM of 8 and 9 we first will factorize them
8 = 2 X 2 X 2
9 = 3 X 3
Here we see that 8 and 9 do not have any common factor. Hence we need to simply multiply them together to get
8 X 9 = 72
Part B.
We need to find GCF of 35 and 63. GCF or the Greatest common factor is the highest number that can divide all the given numbers. Here too we will first factorize 35 and 63.
35 = 5 X 7
63 = 3 X 3 X 7
Here we see that between the numbers, 7 is the only common factor
Hence, 7 is the GCF.
63 can also be written as 63 = 7 X 9
Hence we can write 35 + 3
= (7 X 5) + (7 X 9)
Taking 7 common we get
7(5 + 9)
= 7 X 14
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Assume that the random variable X is normally distributed with mean 70 and standard deviation 8. Find the 40th percentile for X.
Answers
The 40th percentile for X is approximately 67.98. To find the 40th percentile for X, we need to use a standard normal distribution table or calculator.
We first need to standardize the random variable X by subtracting the mean and dividing by the standard deviation:
z = (X - mean) / standard deviation
z = (X - 70) / 8
We can then find the z-score corresponding to the 40th percentile, which is -0.253:
z = invNorm(0.4)
z = -0.253
Using this z-score and the formula for standardizing a random variable, we can solve for X:
z = (X - 70) / 8
-0.253 = (X - 70) / 8
-2.024 = X - 70
X = 67.976
Therefore, the 40th percentile for X is approximately 67.98.
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Estimate 73% of 23.95
Answers
Answer: 304.8
Step-by-step explanation;
7300:23.95 = 303.8
Answer:20
Because I looked it up
how to construct a confidence interval of the population proportion given at the level of confidence
Answers
Answer:
Step-by-step explanation:
what i do not undersante
10. Mark and John both have jobs they work after school Mark has a job mowing lawns that pays $7 per hour. John works in an ice cream parlor. Who has the better job?
a Mark has the better job because he makes $0. 50 more an hour than John.
b. John has the better job because he makes $0. 50 more an hour than Mark
c. Mark has the better job because he makes $6. 50 per hour
d. Neither they make the same amount of money
Answers
Mark has the better job because he makes $0.50 more per hour than John. This is evident from the information provided, where Mark earns $7 per hour for mowing lawns while John's hourly wage is unspecified.
According to the given information, Mark's job involves mowing lawns and pays $7 per hour. On the other hand, John's job at the ice cream parlor doesn't specify his hourly wage. Since the question states that Mark has the better job, we can infer that the wage of John must be less than $7 per hour.
Therefore, by default, Mark's job is superior because he earns $0.50 more than John, as mentioned in option (a). The answer is not option (b) because it incorrectly suggests that John makes $0.50 more than Mark. The answer is also not option (c) as it states that Mark makes $6.50 per hour, which contradicts the given information. The answer is not option (d) because it assumes they make the same amount of money, which is not supported by the information provided.
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A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of pi
Answers
Answer:
288π
Step-by-step explanation:
V=4 /3πr^3 is the formula. We have the diameter, so the radius is half (6). We now have V=4 /3π(6)^3 = 4/3π216 = 288π.
What is the solution to 4x-8=12 please explain
Answers
To solve an equation we need to isolate the unkown variable on the left side. To do that we will have to switch terms from one side to another of the equality, this is done by inverting its operations. If the term is adding it'll go to the other side by subtracting and if it is multiplying it will go to the other side by dividing, the oposite is also true.
With this in mind lets solve the expression.
\(\begin{gathered} 4x\text{ - 8 = 12} \\ 4x\text{ = 12 + 8} \end{gathered}\)\(\begin{gathered} 4x\text{ = 20} \\ x\text{ = }\frac{20}{4} \end{gathered}\)\(x\text{ = 5}\)The value of "x" in this expression is 5.
Find the value of xxx in the isosceles triangle shown below.
Answers
Answer:
X = 10
Step-by-step explanation:
if we say 1/2 base = a
a² = 13² - 12²
a² = 25
a = √25
a = 5
if 1/2 base = 5 then x = a × 2
hence X = 5 × 2 = 10
what is the difference between solving inequalities from equations
Answers
Answer:
An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. 2. An equation shows the equality of two variables while an inequality shows the inequality of two variables.
if(x) = x4 - 6x2 +3 Find the intervals where f is concave up and where it is concave down. Locate all inflection points. (You may write on the next page if you need more space for this question.)
Answers
You have the following function:
\(f(x)=x^4-6x^2+3\)In order to determine the intervals, it is necessary to calculate the first derivative of the function, equal it to zero, and identify the zeros of the equation, just as follow:
\(\begin{gathered} f^{\prime}(x)=4x^3-12x=0 \\ 4x(x^2-3)=0 \end{gathered}\)the zeros of the previous equation are:
\(\begin{gathered} x_1=0 \\ x_2=\sqrt[]{3} \\ x_3=-\sqrt[]{3} \end{gathered}\)Next, it is necessry if the previous values are minima or maxima. Evaluate the second derivative for the previous values of x. If the result is greater than 0, then, it is a minimum. If the result is lower than zero, it is a maximum:
\(\begin{gathered} f^{\prime}^{\prime}(x)=12x^2-12 \\ f^{\prime}^{\prime}(0)=12(0)^2-12=-12<0 \\ f^{\prime}^{\prime}(\sqrt[]{3})=12(\sqrt[]{3})^2-12=24>0 \\ f^{\prime}^{\prime}(-\sqrt[]{3})=12(-\sqrt[]{3})^2-12=24>0 \end{gathered}\)Then, for x=0 there is a maximum, and for x=-√3 and x=√3 there is a minimum.
Hence, until x = -√3 the function decreases. In between x=-√3 and x=0 the function increases. In between x=0 and x=√3 the function decreases and from x=√3 the function increases.
Furthermore, it is necessary to find the inflection points. Equal the second derivative to zero and solve for x:
\(\begin{gathered} f^{\prime}^{\prime}(x)=12x^2-12=0 \\ x^2=1 \\ x=\pm1 \end{gathered}\)then for x=1 and x=-1 there are inflection points.
The interval where the function is concave up is:
(-∞ , -1) U (1, ∞)
The interval where the function is concave down is:
(-1,1)
A 126-inch board is cut into two pieces. One piece is two times the length of the other. Find the length
of the shorter piece.
The shorter piece is
inches long.
Answers
Answer:
6-inch board is cut into two pieces. One piece is two times the length of the other. Find the length
of the shorter pi
an archer hits the center of the target with 60% of her shots. to simulate having her shoot 10 times, use a coin. flip the coin once for each of the 10 shots. if it lands heads, then she hits the center of the target. ifthe coin lands tails, she doesn't.
Answers
It is not possible that an archer hits the center of the target with 60% of her shots.
Given:
shoot : 10 times
if it lands heads, then she hits the center of the target
if it lands tails, she doesn't hits the center of the target
What is a fair coin?
A coin is said to be a Fair Coin when it behaves like a generic coin. Fair Coin has the same outputs as the generic coin.
In probability theory and statistics, a sequence of independent Bernoulli trials with probability 1/2 of success on each trial is metaphorically called a Fair coin.
Assuming the coin is fair,
The chance of heads is 50% rather than a 60% chance that she hits the center of the target.
Hence, It is not possible that an archer hits the center of the target with 60% of her shots.
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Suppose that we have two events, A and B, with P(A) = 0.50, P(B) = 0.60, and P(A ∩ B) = 0.45. If needed, round your answer to three decimal digits.
Find P(A | B)
Find P(B | A
Are A and B independent? Why or why not?
Answers
The probability of event A given event B, denoted as P(A | B), is 0.750. The probability of event B given event A, denoted as P(B | A), is 0.900. A and B are not independent events because the conditional probabilities P(A | B) and P(B | A) are not equal to the marginal probabilities P(A) and P(B), respectively.
To find P(A | B), we use the formula:
P(A | B) = P(A ∩ B) / P(B)
In this case, P(A ∩ B) = 0.45 and P(B) = 0.60.
Plugging these values into the formula, we get
P(A | B) = 0.45 / 0.60 = 0.750.
To find P(B | A), we use the formula:
P(B | A) = P(A ∩ B) / P(A)
Here, P(A ∩ B) = 0.45 and P(A) = 0.50.
Substituting the values, we find
P(B | A) = 0.45 / 0.50 = 0.900.
A and B are not independent because the probabilities of A and B are affected by each other. If A and B were independent, then P(A | B) would be equal to P(A), and P(B | A) would be equal to P(B). However, in this case, both P(A | B) and P(B | A) differ from their respective marginal probabilities. Therefore, A and B are dependent events.
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Problem ID: PRADWAS
Jillian has a rowing machine. The table below lists the number of calories she burns when she exercises on he
rowing machine.
Calories Burned
Exercising on
Rowing Machine
Minutes Calories
Exercised Burned
10
70
20
140
30
210
a. Based on the data in the table, what is the total numb
Answers
Therefore, the Total number of calories burned by Jillian on the rowing machine is 420 calories (70+140+210).
To find the total number of calories burned by Jillian, we need to add up the calories burned at each time interval. Therefore, the total number of calories burned by Jillian on the rowing machine is 420 calories (70+140+210).
Jillian's rowing machine burns a certain amount of calories based on time intervals of 10, 20, and 30 minutes. By using the data provided in the table, we can calculate the total number of calories burned by adding up the calories burned at each time interval.
Therefore, the Total number of calories burned by Jillian on the rowing machine is 420 calories (70+140+210).
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20. Find the perimeter of a rectangle with veticies A(-2, 6), B(-2,-1), C(3,6), and D(3,-1)
Answers
The answer to this problem is 35 :)
Answer:
35
Step-by-step explanation:
(-2,-1) to (3,-1) is 5 units which is the length, and (-2,6) to (-2,-1) is 7 units which is the height, so using the formula for perimeter: length x height, 5 x 7 = 35
figures that have the same size and the same shape
a. Similar figures
b. Congruent figures
c. Parallel figures
d. Symmetric figures
Answers
The correct answer to the question is b. Congruent figures.
Congruent figures are figures that have the same size and shape. In other words, if you were to compare two congruent figures, they would be identical in every way. This means that all corresponding sides and angles of the figures are equal.
For example, if you have two triangles that are congruent, their corresponding sides and angles will be equal. So if one triangle has a side length of 5 cm, the corresponding side of the other triangle will also have a length of 5 cm. Similarly, if one angle in one triangle measures 60 degrees, the corresponding angle in the other triangle will also measure 60 degrees.
It's important to note that congruence applies to all types of figures, including triangles, quadrilaterals, circles, and so on. When determining if two figures are congruent, you need to compare their corresponding sides and angles.
To summarize, figures that have the same size and shape are called congruent figures.
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