Answer:x = midpoint_x - (midpoint_x - (-3)) * (sqrt(5)/6) = 19.5 - (22.5 * sqrt(5))/6 = 19.5 - 3.75sqrt(5)
Step-by-step explanation:To find the x-coordinate of the point that is 2/3 of the distance from (-3, 2) to (42, 32), we first need to find the coordinates of that point.
The distance between the two endpoints of the line segment is:
d = sqrt((42 - (-3))^2 + (32 - 2)^2) = sqrt(45^2 + 30^2) = 15sqrt(45)
The distance from (-3, 2) to the desired point is:
(2/3)d = (2/3)sqrt(45^2 + 30^2)
Let's call the desired point (x, y). We can use the midpoint formula to find the coordinates of the midpoint of the line segment:
midpoint = ((-3 + 42)/2, (2 + 32)/2) = (19.5, 17)
The midpoint is halfway between the two endpoints, so the distance from (-3, 2) to the midpoint is:
sqrt((19.5 - (-3))^2 + (17 - 2)^2) = sqrt(22.5^2 + 15^2) = 15sqrt(5)
To find the coordinates of the desired point, we can use similar triangles. The ratio of the distance from (-3, 2) to the midpoint to the distance from (-3, 2) to the desired point is:
15sqrt(5) / (2/3)sqrt(45^2 + 30^2) = 15sqrt(5) / 30sqrt(45) = sqrt(5)/6
The ratio of the distance from (42, 32) to the midpoint to the distance from (42, 32) to the desired point is the same:
15sqrt(5) / (2/3)sqrt(45^2 + 30^2) = sqrt(5)/6
What alternation did John Singer Sargent make to Madame X (1883-1884), his most controversial painting?
he added her wedding ring
Ohe painted a diamond crescent to her hairstyle
Ohe repainted the right strap
Ohe repainted her face
John Singer Sargent repainted the right strap on Madame X (1883-1884). The Option C is correct.
What alternation did John Singer Sargent made?Madame X caused a scandal when it was first exhibited in Paris in 1884. Sargent had originally painted the right strap of the dress hanging off the shoulder which was seen as too provocative at the time.
However, he later repainted the strap to be more securely in place, but this change did not entirely satisfy critics, but, nevertheless, the painting is now considered a masterpiece and an iconic example of Sargent's style.
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Caitlyn went to the store to buy school clothes. She had a store credit in the amount of$39.58. if she bought 4 of the same show in different colors and spent $52.22 after the store credit was taken off her total, what was the price of each shirt she bought. Write and solve an equation with integer and coefficients.
The price of each shirt she bought is $3.16
What was the price of each shirt she boughtFrom the question, we have the following parameters that can be used in our computation:
Store credit = $39.58
Items = 4
Amount spent = 52.22
The price of each shirt (x) she bought is calculated using
4 * x + Store credit = Amount spent
So, we have
4x + 39.58 = 52.22
Evaluate
x = 3.16
Hence, the price of each shirt she bought is 3.16
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PLEASE HELP ASAP
The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing exponentially?
x f(x) g(x)
1 3 3
2 6 9
3 11 27
4 18 81
5 27 243
f(x), because it eventually exceeds g(x)
g(x), because it eventually exceeds f(x)
f(x), because it eventually intersects g(x)
g(x), because it will not intersect f(x)
The function that is most likely increase exponentially is f(x). Because it eventually exceeds g(x)
To determine which function is most likely increasing exponentially, we need to compare the rate at which the two functions are increasing.
Looking at the table, we can see that as x increases, f(x) increases at a faster rate than g(x). In fact, f(x) eventually exceeds g(x) for x values greater than or equal to 5. This suggests that f(x) is increasing at an exponential rate.
On the other hand, g(x) is increasing at a much slower rate than f(x). Although g(x) is also increasing, it does not appear to be increasing exponentially. In fact, g(x) will never exceed f(x), because f(x) grows at a faster rate.
Therefore, the function that is most likely increase exponentially is f(x).
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Assignment
Practice using function notation.
The values in the table represent a function.
f(x)
x
-6
7
4
3
-5
8
3
-5
-2
12
Use the drop-down menus to complete the statements.
The ordered pair given in the first row of the table can
be written using function notation as
f(3) is
f(x) = -5 when x is
Using function notation on the table, we can say that:
f(3) = -2
When f(x) = -5, x = 4
How to write function notation?Function notation is defined as a way of expressing a relationship between two variables.
From the given table, we see that:
when x = -6, f(x) = 8
when x = 7, f(x) = 3
when x = 4, f(x) = -5
when x = 3, f(x) = -2
when x = -5, f(x) = 12
Thus, we can say that:
f(3) = -2
When f(x) = -5, x = 4
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Case 4.11
>Suppose Big D, Inc. just paid a dividend of $.50. It is expected to increase its dividend by 2% per year.
If the market requires a return of 15% on assets of this risk, how much should the stock be selling for?
If the market requires a return of 15% on assets of this risk, the stock should be selling for $3.92.
How much should the stock be sold for?We can calculate the stock price using the dividend discount model with the following formula: "Stock Price = Dividend / (Required Rate of Return - Dividend Growth Rate)".
Data:
Dividend = $0.50
Increase its dividend by 2% per year.
The next dividend (D1) can be calculated as:
D1 = D0 x (1 + Dividend Growth Rate)
D1 = $0.50 x (1 + 0.02)
D1 = $0.51
Using these values, we can calculate the stock price as follows:
= $0.51 / (0.15 - 0.02)
= $0.51 / 0.13
= $3.92.
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32. Jimmy is putting down carpet in a square-shaped room. The floor has an area of
90 square feet. Jimmy knows that the side length of the floor must be √90 feet.
Which statement about the value of √90 feet is true?
A. √90 feet is between 9 feet and 10 feet but is closer to 9 feet.
B. √90 feet is between 9 feet and 10 feet but is closer to 10 feet.
C. √90 feet-45 feet
D. √90 feet = 8100 feet
Answer:
The correct answer is A.
Step-by-step explanation:
The correct answer is A.
To find the length of one side of the square, we need to take the square root of the area. Therefore, the square root of 90 is approximately 9.49 feet. Since this value falls between 9 feet and 10 feet, but is closer to 9 feet, the statement "√90 feet is between 9 feet and 10 feet but is closer to 9 feet" is true. So, Jimmy should cut the carpet to 9.49 feet to fit the square-shaped room.
A triangle with coordinates (0,0), (0, 7) and (6,0) is rotated 360 degrees about the x-axis. What is the volume of the figure created in cubic units?
The volume of the figure created is 98 cubic units.
Given that:
A triangle with coordinates (0,0), (0, 7), and (6,0) is rotated 360 degrees about the x-axis.
A cone is formed when a triangle rotates. Then the volume created is calculated as,
V = 1/3 x 7² x 6
V = 49 x 2
V = 98 cubic units
The volume is 98 cubic units.
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The diameter of a circle is 28 millimeters. What is the circle's circumference?
Answer:
87.9646 millimeters.
Step-by-step explanation:
The circumference (C) of a circle is given by the formula:
C = πd
Where d is the diameter of the circle and π (pi) is a mathematical constant approximately equal to: 3.14159.
In this case, the diameter of the circle is given as 28 millimeters, so we can substitute this value into the formula to find the circumference:
C = πd = π(28 mm) = 87.9646 mm (rounded to 4 decimal places)
Therefore, the circumference of the circle is approximately 87.9646 millimeters.
Here’s is a graph of the function f.
Use the graph to find the following.
If there is more than one answer, separate them with commas
Answer:
The local minima are 1 and -2
The values at which the function f has a local minimum are -3 and 4
Step-by-step explanation:
Main Concepts:
Brief side-discussion about local vs global minimums
Concept 1. What a Local minimum is
Concept 2. Where a local minimum is at
Brief side-discussion: a Local minimum vs Absolute or Global minimum
A local minimum is the height of any "low" point on a continuous section of the function where all of the points "near" it are higher.
In contrast, an Absolute minimum (sometimes called a "global minimum"), is the lowest height the function ever reaches.
Concept 1. What a Local minimum is
This problem is asking about local minimums, of which there are two:
the height of the point in the trough on the leftthe height of the point in the trough on the right"The Local minimum value" itself IS the height of the point (the "y"-value).
The point on the left has coordinates (-3,1), and the point on the right has coordinates (4,-2).
So, the local minima are 1 and -2
Concept 2. Where a local minimum is at
The minima are different from "The values AT which the function has a local minimum" which is the input (or, "x"-value) that will produce that output when put into the function.
So, the values at which the function f has a local minimum are -3 and 4
Breanna and Qasim plan to send their daughter to university. To pay for this they will contribute 8 equal yearly payments to an account bearing interest at the APR of 4%, compounded annually. Five years after their last contribution, they will begin the first of five, yearly, withdrawals of $51,100 to pay the university's bills. How large must their yearly contributions be?
Breanna and Qasim must contribute $22,583.39 per year for eight years to have enough money to pay for their daughter's university education.
To determine the yearly contribution required for Breanna and Qasim, we need to use the present value formula for an annuity.
The formula is:
PV = C * ((1 - (1 + r)⁻ⁿ) / r)
Where PV is the present value of the annuity, C is the annual contribution, r is the annual interest rate, and n is the number of years.
First, we need to calculate the present value of the contributions that Breanna and Qasim make for the first eight years. We can use the formula:
PV = C * ((1 - (1 + r)⁻ⁿ) / r)
Where C is the annual contribution, r is the annual interest rate, n is the number of years, and PV is the present value of the contributions.
We know that the annual contribution is the same for each of the eight years, so we can simplify the formula to:
PV = C * (((1 - (1 + r)⁻ⁿ) / r))
The present value of the contributions is equal to the future value of the withdrawals five years after the last contribution. We can use the future value formula for an annuity to calculate this:
FV = R * ((1 + r)ⁿ - 1) / r
Where FV is the future value, R is the annual withdrawal, r is the annual interest rate, and n is the number of years.
We know that the future value of the withdrawals is $51,100 per year, the interest rate is 4%, and the number of years is 5.
FV = 51,100 * ((1 + 0.04)⁵ - 1) / 0.04 = $246,387.19
This is the present value of the contributions that Breanna and Qasim make over the first eight years. We can now solve for the annual contribution required using the present value formula:
PV = C * (((1 - (1 + r)⁻ⁿ) / r))
$246,387.19 = C * (((1 - (1 + 0.04)⁻⁸) / 0.04))
C = $22,583.39
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Las llantas de la bicicleta de Julián miden 45 cm de diámetro y la distancia de su casa a la escuela es de 877 m cuántas vueltas aproximadamente deben de dar las llantas de la bicicleta de Julián para ir de su casa a la escuela
The tires of Julián's bicycle must take 620 turns to go from his house to school.
The circumference of the tire can be calculated using the formula C = πd, where d is the diameter of the tire.
C = πd = π(45cm) ≈ 141.37cm
To find out how many turns the tires must take, we need to divide the total distance by the distance covered by one revolution of the tire:
Number of turns = Distance / Circumference
Number of turns = 877m / (141.37cm/100cm/1m)
Number of turns ≈ 620.09
Therefore, the tires of Julián's bicycle must take approximately 620 turns to go from his house to school.
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calcula la cantidad de energia mecanica total de un automovil que se encuentra subiendo una montaña el cual tiene una masa de una tonelada se localiza a una altura de 500 m y lleva una rapidez de 50km/h
The answer to the given energy is 5096327.2 J
How to determine the value?Remember that Joule is a derived unit of energy which is equal to the energy transferred to an object when a force of one newton acts on that object in the direction of its motion through a distance of one meter
m = 1 tonelada = 1000 kg
h = 500 m
v = 50 km / hr = 13.88 m / s
9 = 10 m / s²
Ep = ?
Ec = ?
The given formula Formula
Ep = m g h = 1000 kg X 10 m / s² X 500 m = 5000000 Joule
Ec = m V² / 2 = 1000 kg X (13.88 m / s)² / 2 = 96327.2 Joule
Et = Ep + Ec = 5000000 J + 96327.2 J = 5096327.2 J
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31. Escribe el grado y el término independiente
de cada uno de los siguientes polinomios:
a. P(x) = 2x42x³ - 3x² + 7
b. Q(x) = -x³ + 5x²-3x + 1
The degree and the independent term of each of the following polynomials include the following;
Degree of P(x) is 4.
Independent term of P(x) is 7.
Degree of Q(x) is 3
Independent term of Q(x) is 1.
What is a polynomial function?In Mathematics, a polynomial function simply refers to a type of mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations.
Generally speaking, the degree of a polynomial function is sometimes referred to as an absolute degree and it is the greatest exponent (leading coefficient) of each of its term.
Additionally, the independent term is a number that isn't accompanied by any variable i.e it is a constant.
P(x) = 2x⁴ - 2x³ - 3x² + 7; degree = 4 and independent term = 7.
Q(x) = -x³ + 5x²-3x + 1; degree = 3 and independent term = 1.
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Complete Question:
Write the degree and the independent term of each of the following polynomials.
A rectangle is drawn so the width is 47 inches longer than the heightIf the rectangle's diagonal measurement is 65 inches , find the height. Give your answer rounded to 1 decimal place.
The height of the rectangle is approximately 15.5 inches.
Let's call the height of the rectangle "h". We know that the width is 47 inches longer than the height, so the width can be expressed as "h + 47".
We can use the Pythagorean theorem to solve for the height. The Pythagorean theorem states that for a right triangle with legs of length "a" and "b" and hypotenuse of length "c", a^2 + b^2 = c^2.
In this case, we can consider the rectangle to be a right triangle, with the height as one leg, the width as the other leg, and the diagonal as the hypotenuse. So we can write:
h^2 + (h + 47)^2 = 65^2
Simplifying this equation gives:
2h^2 + 94h - 1476 = 0
We can solve for "h" using the quadratic formula:
h = (-b ± sqrt(b^2 - 4ac)) / 2a
In this case, a = 2, b = 94, and c = -1476. Plugging these values into the quadratic formula gives:
h = (-94 ± sqrt(94^2 - 4(2)(-1476))) / 4
Simplifying this expression gives:
h = (-94 ± sqrt(10084)) / 4
h = (-94 ± 100.42) / 4
h = -48.6 or 15.42
Since the height of the rectangle cannot be negative, we can discard the negative solution. Therefore, the height of the rectangle is approximately 15.5 inches.
Many banks charge for out of network ATM use. Out of network ATMs are ones provided by someone other
than your bank. While you're away at college, you will have to rely on these out of network ATMs if your local bank does not have a branch near your school.
Compare the following checking account fee structures.
Hometown National Bank
Monthly
Maintenance Fee
$5.00
Out of Network
ATM Charge
$2.00
Freedom Bank
$1.00
out of network ATM charge
$3.00
1. Which bank offers a better fee structure for a month of usage? Describe your reasons.
2. Is one bank ALWAYS better? What factors might affect which bank has the better fee
structure?
I
3. How could you avoid these fees if you are away at school without access to a local branch?
4. Find a partner and discuss your bank choices. Write down how you could best compare the two
fee structures.
The choice between Hometown National Bank and Freedom Bank depends on usage. Should you use out-of-network ATMs with regularity, the former may be favored due to its lower ATM charge. Otherwise, if these visits are sporadic, the latter might reign superior in regards to its maintenance fee.
Still, no financial institution can be deemed unequivocally better. Additional variables influencing this decision could include the frequency of out-of-network ATM travel, one's account balance, as well as any supplementary services each establishment may supply.
In order to safeguard yourself against fees, consider utilizing in-network ATMs, mobile banking, or taking advantage of cashback options offered when making purchases from retailers.
By calculating total fees for each bank, estimating monthly out-of-network ATM activity, and factoring in other services and one's individual preferences, it is possible to determine which establishment best suits your needs.
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Use the drop downs to determine which symbols
would complete the inequality for the range.
-2
(c)____y
_(c)______y____(d)______5
The symbols that would complete the inequality for the range include the following:
-2 ≤ y < 5.
c is less than or equal to.
d is less than.
What is a range?In Mathematics, a range can be defined as the set of all real numbers that connects with the elements of a domain.
Based on the information provided about the graph of this function, we can reasonably infer and logically deduce that the domain and range can be written as follows:
Domain = {-4, 4} or -4 < x ≤ 4.
Range = {-2, 5} or -2 ≤ y < 5.
In conclusion, the missing symbols are "less than or equal" to and "less than" respectively.
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Complete Question:
Use the drop downs to determine which symbols would complete the inequality for the range. −2 ___(c)___ y ___(d)___ 5 (c) (d) On a coordinate plane, a graph of an image with a curve and straight line has 2 points. A closed circle appears at (negative 4, negative 2) and an open circle appears at (4, 5).
What is the length of the hypotenuse of the triangle when x=9 now!!!
The concept Pythagoras theorem is used here to determine the length of the hypotenuse. It is an important theorem which explains the relation between the sides of a right angled triangle. The length of hypotenuse is
According to Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides. The sides of this triangle have been named perpendicular base and hypotenuse.
Hypotenuse² = Perpendicular² + Base²
9² + 4² = 97
√97 = 9.84 cm
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Your question is incomplete most probably your full question was:
What is the length of the hypotenuse of the triangle when x=9 now and other side y = 4.
What is the relationship between the mean and variance of the exponential distribution? fx = ao + Σ₁ ancoszx+b sin¹7 L n = 1 Select one: A. Variance = 2*Mean B. Mean = Variance C. Variance is the square of the mean D. Mean is the square of the Variance
Answer:
the answer is b
Step-by-step explanation:
The relationship between the mean and variance of the exponential distribution is (c) variance is the square of the mean.
What is exponential distributionIn probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the time between events in a Poisson point process, i.e., a process in which events occur continuously and independently at a constant average rate.
The exponential distribution is widely used in various fields such as
queuing theoryreliability analysissurvival analysisFor example, it can be used to model the time between machine failures or the time between arrivals of customers at a service facility.
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If Matt's share is 20 % less than Kate's , how much is Kate's share more than Matt's ? A. 50 % B. 33.33 % C. 25 % D. 20 %
Answer:
20% (D)
Step-by-step explanation:
3/4w is less than or equal to 24 graph and solve the ineguality
The inequality that represents the situation is w ≥ 32.
To graph the inequality, we first need to solve it for w:
3/4w ≤ 24
We can isolate w by multiplying both sides by 4/3 (which is the reciprocal of 3/4), remembering to reverse the inequality because we're multiplying by a negative number:
w ≥ 24 × 4/3
w ≥ 32
So the solution to the inequality is w ≥ 32.
To graph this, we draw a number line and put a closed circle at 32 (because the inequality includes "equal to"), and shade to the right of 32 to represent all the values that satisfy the inequality given in the attached image.
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13.2.7 Check Your Understanding A savings account earns an Interest rate of 3.75% compounded semi-annually for an account with an initial deposit of $895. How much money will be in the account after 10 years? Round your answer to the nearest hundredth.
The amount of money that will be in the account after 10 years is: $1297.70
How to solve Compound Interest Problems?The formula for solving compound interest is expressed as:
A = P(1 + r/n)^(nt)
where:
A is Accrued amount (equal to principal added to interest)
P is the Principal amount
r is the annual nominal interest rate expressed as a decimal
R is termed as the annual nominal interest rate which is expressed as a percentage
r is equal to R/100
n is the number of the compounding periods per unit of the time
t is the time which is expressed in decimal years
We are given:
r = 0.0375
n = 2 times per year
t = 10 years
P = $895
Thus:
A = 895(1 + 0.0375/2)^(2 * 10)
A = $1297.70
Thus, that is the money that will be in the account after a period of 10 years
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really short question please help
Answer:2^4=4x-4 would be the answer
Step-by-step explanation: You would exponentiate both sides
What alternation did John Singer Sargent make to Madame X (1883-1884), his most controversial painting?
he added her wedding ring
Ohe painted a diamond crescent to her hairstyle
Ohe repainted the right strap
Ohe repainted her face
Answer:
Ohe repainted the right strap.
A coin is flipped 10 times and the sequence of heads and tails recorded. In how many ways can a sequence consist of exactly 3 heads and the rest tails?
there are 120 different ways a sequence of 10 coin flips can consist of exactly 3 heads and the rest tails.
To solve this problem, we can use the formula for combinations. The number of ways to choose k items from a set of n items is given by the formula n choose k, which is written as C(n,k) or sometimes as nCk.
In this case, we want to choose 3 heads from a set of 10 coin flips. The number of ways to do this is C(10,3) = 120.
Once we have chosen the 3 heads, the remaining 7 flips must all be tails. There is only one way to arrange 7 tails, since they are all the same.
Therefore, the total number of sequences that consist of exactly 3 heads and the rest tails is 120.
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what is the circumference of the given circle in terms of pi ?12 in
12π inches is the circumference of the given circle with a diameter of 12 inches.
The circumference of a circle can be found using the formula C = π*d, where d is the diameter of the circle.
If the diameter of the circle is 12 inches, then the circumference is:
C = π* d
C = π * 12 inches
C = 12π inches
So, the circumference of the circle in terms of π is 12π inches.
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[1/5x-4+2y]+[2/5x+5-4y]
35 POINTS BY THE WAY
Answer: [1/5x-4+2y]+[2/5x+5-4y] simplifies to 3/5x - 2y + 1.
Step-by-step explanation:
To simplify the given expression, we need to combine like terms.
The like terms are the ones with the same variable parts.
Let's first simplify the expression inside the brackets separately:
[1/5x-4+2y] = 1/5x + 2y - 4
[2/5x+5-4y] = 2/5x - 4y + 5
Now, we can combine the simplified expressions:
[1/5x + 2y - 4] + [2/5x - 4y + 5]
= 1/5x + 2y - 4 + 2/5x - 4y + 5
= (1/5 + 2/5)x + (2y - 4y) - 4 + 5
= 3/5x - 2y + 1
Therefore, [1/5x-4+2y]+[2/5x+5-4y] simplifies to 3/5x - 2y + 1.
CAN SOMEONE HELP WITH THIS question?✨
The summation ∑₁¹²⁴(29a₁ - 13b₁) = -30
How to find the given summation?Suppose that ∑₁¹²⁴a₁ = -10 and ∑₁¹²⁴b₁ = -20. We desire to compute the following ∑₁¹²⁴(29a₁ - 13b₁), we proceed as follows.
So, the summation ∑₁¹²⁴(29a₁ - 13b₁)
Expanding the brackets, we have that
∑₁¹²⁴(29a₁ - 13b₁) = ∑₁¹²⁴29a₁ - ∑₁¹²⁴13b₁)
= 29∑₁¹²⁴a₁ - 13∑₁¹²⁴b₁
Given that ∑₁¹²⁴a₁ = -10 and ∑₁¹²⁴b₁ = -20.
So, substituting the values of the variables into the equation, we have that
∑₁¹²⁴(29a₁ - 13b₁) = 29∑₁¹²⁴a₁ - 13∑₁¹²⁴b₁
= 29(-10) - 13(-20)
= -290 + 260
= -30
So, ∑₁¹²⁴(29a₁ - 13b₁) = -30
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Homework Progress 9 / 12 Marks The same honey is sold in two different size jars. Large Jar Small Jar 540g for £4.10 360g for £2.81 By considering the amount of honey per penny, work out which jar is the best value for money. Working must be shown.Homework Progress 9/ 12 Marks The same honey is sold in two different size jars. Large Jar Small Jar 540g for £4.10 360g for £2.81 By considering the amount of honey per penny, work out which jar is the best value for money. Working must be shown.
Answer:
Step-by-step explanation:
If the large Jar is $4.10 for 540g
and small jar $2.81 for 360 g
You need to show how much it cost for 1 g,so you can compare how much it cost per gram. You would divide the total cost by the grams to see how much it is for 1 g.
Large jar. $4.10/540 = $.0076 for 1 gram
Small Jar. $2.81/360 =$.0078 for 1 gram
Because the large jar is cheaper to buy per gram, the large jar is the best value for the money.
If ΔJAB ≅ ΔFED, AB = 10 in, m∠BJA = 52º, and m∠EDF = 65º, which of the following statements is not true?
A.
m∠ABJ = 65º
B.
ED = 10 in
C.
∠B ≅∠E
D.
m∠FED = 63º
Answer:
C. ∠B ≅∠E
Step-by-step explanation:
Since ΔJAB ≅ ΔFED, their corresponding angles are congruent.
Therefore:
∠J ≅ ∠F → m∠BJA ≅ m∠DFE∠A ≅ ∠E → m∠JAB = m∠FED∠B ≅ ∠D → m∠ABJ ≅ m∠EDFGiven that m∠BJA = 52° and m∠EDF = 65°, then:
m∠BJA = m∠DFE = 52° m∠ABJ = m∠EDF = 65°Therefore, m∠ABJ = 65°.
Interior angles in a triangle sum to 180°. Therefore:
⇒ m∠JAB + m∠BJA + m∠ABJ = 180°
⇒ m∠JAB + 52° + 65° = 180°
⇒ m∠JAB + 117° = 180°
⇒ m∠JAB = 63°
As m∠JAB = m∠FED, then m∠FED = 63°.
Since ΔJAB ≅ ΔFED, their corresponding sides are congruent.
AB = EDBJ = DFAJ = EFGiven that AB = 10 inches, then ED = 10 inches.
Therefore, the statement that is not true is:
∠B ≅∠EFactor the greatest common factor from the polynomial. 12x² 12x² + 30x + 30x =
Answer:
Step-by-step explanation:
hello :
6x the greatest common factor from the polynomial.
12x² + 30x