The method that cannot be used to prove ABC ~ ADE is (d) using the slope formula to show that the slopes of segments BC & DE are equal, and thus BC is parallel to DE and corresponding angles will be congruent by AA.
Of all the options, the first three options are valid options that can be used to determine if triangles ABC and ADE are similar.
However, option (d) cannot be used.
This is so, because the slopes of sides BC and DE does not guarantee that side lengths AB & AD, and AC and AE would have the same slope.
If the other corresponding sides do not have the same slope, then the triangles are not similar.
Hence, the method that cannot be used to prove ABC ~ ADE is (d)
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How does a recipient not-for-profit entity record the receipt of a gift that will be transferred without restriction to another charitable entity? What if the donor retains the right to revoke or redirect the gift?
When a recipient not-for-profit entity receives a gift for transfer to another charitable entity, it records it as revenue upon receipt.
If the donor retains the right to revoke or redirect the gift, it's recognized as a "Contribution Receivable" liability until the restrictions lapse or are fulfilled. Consult accountants for proper accounting.
When a recipient not-for-profit entity receives a gift that will be transferred without restriction to another charitable entity,
The accounting treatment typically involves two steps:
Recognition on Receipt:
The recipient not-for-profit entity should recognize the gift as revenue or contribution in its financial records upon receipt.
This is because the organization has legal control and possession of the gift, even if it intends to transfer it to another charitable entity.
The accounting entry will depend on the nature of the gift received ( cash, securities, in-kind donation).
Classification as a "Contribution to be Transferred":
The second step involves classifying the received gift as a "Contribution to be Transferred" on the recipient's balance sheet.
This classification reflects that the entity intends to pass the gift along to another charitable entity
and that the funds are not restricted for use within the recipient organization.
If the donor retains the right to revoke or redirect the gift,
The recipient not-for-profit entity should follow the guidelines for recognizing contributions subject to donor restrictions.
Until the restrictions lapse or are fulfilled, the contribution should be recorded as a liability ( "Contribution Receivable").
Accounting for contributions with donor-imposed restrictions can be complex,
and the specific treatment will depend on the terms of the gift and applicable accounting standards.
It's essential for the not-for-profit organization to consult with its accountants
or financial advisors to ensure compliance with relevant accounting principles and reporting requirements.
Also, it's important to note that accounting standards and regulations may vary across different countries or regions,
so organizations should adhere to the accounting principles applicable in their specific jurisdiction.
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Select the correct symbol
Answer:
The answer is <
what should be subtracted from 7/12+7/8 to obtain the multiplicated inverse of (4/3-4/9)
To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.
First, let's find the multiplicative inverse of (4/3 - 4/9):
Multiplicative inverse = 1 / (4/3 - 4/9)
To simplify the expression, we need a common denominator:
Multiplicative inverse = 1 / ((12/9) - (4/9))
= 1 / (8/9)
= 9/8
Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:
Subtracted value = (7/12 + 7/8) - (9/8)
To perform this calculation, we need a common denominator:
Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)
= (14/24 + 21/24) - (9/8)
= 35/24 - 9/8
To simplify further, we need a common denominator:
Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)
= 35/24 - 27/24
= 8/24
= 1/3
Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).
HELPPPPPPP PLEASE. IM SO CONFUSED IM WEIRD
I think that the answer is A.
The product of two numbers is 126 . The smaller number is 5 less than the larger number. Which of the following equations can be used to solve for the larger number?
Answer:
Step-by-step explanation:
45
Write (2x)^4 without exponents
Answer:
16x^4
Step-by-step explanation:
Hi there!
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I believe your answer is:
[see below]
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Here’s why:
⸻⸻⸻⸻
\(\boxed{\text{Simplifying the Expression:}}\\\\(2x)^4\\----------------\\\rightarrow (2x)^4 \text{ is 2x multiplied 4 times.}\\\\\rightarrow (2x)^4 = \boxed{2x * 2x * 2x * 2x}\\\\\rightarrow 2x * 2x * 2x * 2x = \boxed{16*x^4}\\\\\rightarrow 16*x^4 = \boxed{16 * x * x * x * x}\\\\\text{The boxed answers with exception to the second one could be possible answers.}\)
»»————- ★ ————-««
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Hope this helps you. I apologize if it’s incorrect.
(x3−8x2+2)÷(x−3)
Responses
x2−5x+15−43x−3
x squared minus 5 x plus 15 minus fraction numerator 43 over denominator x minus 3 end denominator end fraction
x2−5x−15+43x−3
x squared minus 5 x minus 15 plus fraction numerator 43 over denominator x minus 3 end denominator end fraction
x2−5x−15−43x−3
x squared minus 5 x minus 15 minus fraction numerator 43 over denominator x minus 3 end denominator end fraction
x2−5x−15+47x−3
Using the long division method, the division operation (x³ − 8x² + 2) ÷ (x − 3) gives x² - 5x - 15 + (-43)/(x -3). The correct option is the first option
x2−5x+15−43x−3
x squared minus 5 x plus 15 minus fraction numerator 43 over denominator x minus 3 end denominator end fraction
Dividing polynomialsFrom the question, we are to determine the quotient and the remainder of the given division operation
From the given information,
The given division operation is
(x³ − 8x² + 2) ÷ (x − 3)
The division operation can be carried out as follows:
x² - 5x - 15
x - 3 | x³ − 8x² + 2
x³ - 3x²
-5x² + 0x
-5x² + 15x
-15x + 2
-15x + 45
- 43
From above, we can see that the quotient of the operation is x² - 5x - 15 and the remainder is -43
Hence, we can write that
(x³ − 8x² + 2) ÷ (x − 3) = x² - 5x - 15 + (-43)/(x -3)
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A rectangular television screen is sold by the length of its diagonal. If the diagonal is 45 inches and the height of the screen is 27 inches, what is the area of the screen?
===========================================================
Explanation:
Draw a rectangle and one diagonal. Two identical triangles form. Focus on one of those triangles.
We have a right triangle with leg a = 27 and leg b = unknown. These represent the dimensions of the rectangular TV screen.
The hypotenuse is the diagonal which is c = 45.
Let's use the pythagorean theorem to find b.
\(a^2 + b^2 = c^2\\\\27^2 + b^2 = 45^2\\\\729 + b^2 = 2025\\\\b^2 = 2025 - 729\\\\b^2 = 1296\\\\b = \sqrt{1296}\\\\b = 36\\\\\)
This screen is 27 inches by 36 inches.
area = length*width = 36*27 = 972 square inches
(1/2)4 = asap for brainliest
Answer:
1/2×4=2
Step-by-step explanation:
half of 4 is 2. hope this helps
I am struggling to find domain and range please help thank you
Answer:
Domain: 0, 1, 2, 3, 4,
Range: 1, 2, 3, 4, 5,
Step-by-step explanation:
Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5, therefore, the answer is:
Convert.
_____seconds = 15 minutes 19 seconds
Answer: 919 seconds in 15 minutes and 19 seconds
Step-by-step explanation:
60 x 15 = 900
900 + 19 = 919
Which cereal box deal has the best price per ounce $6.12 for 24 oz $9.13 for 39 oz $3.56 for 14 oz $4.95 for 18 oz
Answer:
$3.56 for 14 ozi think so
Suppose that y varies inversely with x, and y= 3 when x = 10.
(a) Write an inverse variation equation that relates x and y.
Equation:
(b) Find y when x = 5
y =
Answer:
y=6
Step-by-step explanation:
the equation that relates x and y is y=30(1÷x)
Is my answer correct?
Answer:
Of course it is
Step-by-step explanation:
In the expression: 9 + 3y + 6 + y
Combining like terms, the expression becomes: 3y + y + 9 + 6
Final answer: 4y + 15 which is option B
So you're correct
Can someone help me with question 19 and 21 please?
PLZZZ ASAP I NEED HELP!!!!
describe the volume of a rectangular prism and a rectangular pyramid with the same dimensions related.
Answer:
the relationship between a prism and a pyramid with equal bases and heights is the volume of the prism is three times the volume of the pyramid.
Step-by-step explanation:
Afleamovesaroundtheverticesofatriangleinthefollowingmanner:Whenever it is at vertex i it moves to its clockwise neighbor vertex with probability pi and to the counterclockwise neighbor with probability qi = 1 − pi , i = 1, 2, 3.
(a) Find the proportion of time that the flea is at each of the vertices.
(b) Howoftendoesthefleamakeacounterclockwisemovethatisthenfollowed by five consecutive clockwise moves?
a) The proportion of time that the flea is at each of the vertices is:
X1 = (q2 * q3) / (p1 * q2 + p2 * q3 + p3 * q1)
X2 = (q1 * q3) / (p1 * q2 + p2 * q3 + p3 * q1)
X3 = (q1 * q2) / (p1 * q2 + p2 * q3 + p3 * q1)
b) The flea make a counterclockwise move of (p1 * q2 * p2^5 + p2 * q3 * p3^5 + p3 * q1 * p1^5) / (p1 * q2 + p2 * q3 + p3 * q1)^6
a) The proportion of time that the flea is at each vertex can be found by solving a system of linear equations. Let X1, X2, and X3 denote the proportion of time the flea is at vertex 1, 2, and 3, respectively. Then we have:
X1 = p2 * X2 + q3 * X3
X2 = p3 * X3 + q1 * X1
X3 = p1 * X1 + q2 * X2
Solving for X1, X2, and X3, we get:
X1 = (q2 * q3) / (p1 * q2 + p2 * q3 + p3 * q1)
X2 = (q1 * q3) / (p1 * q2 + p2 * q3 + p3 * q1)
X3 = (q1 * q2) / (p1 * q2 + p2 * q3 + p3 * q1)
b) The probability of making a counterclockwise move followed by five consecutive clockwise moves can be found by finding the probability of each possible sequence of moves and then summing. +
p1 * q2 * p2 * p3 * p3 * p2 * p1 + p2 * q3 * p3 * p1 * p1 * p3 * p2 + p3 * q1 * p1 * p2 * p2 * p1 * p3
This expression can be simplified to:
(p1 * q2 * p2^5 + p2 * q3 * p3^5 + p3 * q1 * p1^5) / (p1 * q2 + p2 * q3 + p3 * q1)^6
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Mr. Parks begins to fill a large container with water for the dunk tank at the school
fair before asking Brian to finish the job. The container has 25 gallons of water in it
before Brian uses a hose to finish filling it up. The container fills at a rate of 10
gallons per minute. Suppose that y is the amount of water in the tank after x
minutes. Which equation could be graphed to help Brian find out how much water is
in the tank at any time?
y = 25x + 10
y= 10x + 25
y= 10x - 25
y = 10x
Answer:
The answer is B / y= 10x+25
Step-by-step explanation:
your welcome
If 2^2x = 2^3, what is the value of x?
Answer:
x=2
Step-by-step explanation:
Is this equation an identity? 6c + 14c + 16 = 18c - 14
The identity equation is defined as the same value both the side, whatever the value we put in the place of variable.
So, the equation is not identity. both side is not equal.
Find the length of the arc
in terms of pi.
Half the circle is 20 radius the other half is 180 degrees. Find AB?pi
Answer:
10π
Step-by-step explanation:
Length for arc = θ/360 × πd
Where,
θ = 180°
d = 20
Length of the given arc = 180/360 × π × 20.
= 10π
Kay loves to save coins. She has a piggy bank that she has been filling for a long time with only dimes and nickels. Recently, her piggy bank was filled to the brim so Kay counted her coins and she discovered that she had $10. She also noticed that she has 11 less dimes than nickels. How many coins were in Kay's bank?
The total number of coins that were in Kay's bank are 137 coins.
How to determine the number of coins?In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:
Let d represent the number of dimes.Let n represent number of nickels.Since she has 11 less dimes than nickels, an equation which models this situation is given by;
n = d + 11 ....equation 1.
Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.
Additionally, the coins are worth 10 dollars;
0.1d + 0.05n = 10 ....equation 2.
By solving both equations simultaneously, we have:
0.1d + 0.05(d + 11) = 10
0.1d + 0.05d + 0.55 = 10
0.15d = 9.45
d = 63 dimes.
For nickels, we have:
n = d + 11
n = 63 + 11
n = 74
Now, we can determine the total number of coins;
Total number of coins = n + d
Total number of coins = 74 + 63
Total number of coins = 137 coins.
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K12 pls help now i will mark you the best on the G's look at pic
The answer is in the image
Which symbol correctly relates 23 ? 16 check all that apply
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
Select the expression that is equivalent to
—2 (5 + 7g)
-2 – 14g
-10 – 149
79 - 10
-10 + 7g
Answer:
-10 - 14g
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Step-by-step explanation:
Step 1: Define
-2(5 + 7g)
Step 2: Expand
Distribute -2: -2(5) + -2(7g)Multiply: -10 - 14gWhy cant 7 be a remainder in 6499 divided by 7
Answer:
It would be a decimal not a remainder :)
Step-by-step explanation:
what is the location of 0,1? i need help heheheh
Answer:
Free Coins!!!
Quadrant 1 if that's what your talking about
The graph below shows a couple of plotting points, one of them being 0,1.
SOMEBODY HELP MATH 100 POINTS BRAINLIEST⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️ HELP MATH 100 POINTS BRAINLIEST ⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️HELP MATH 100 POINTS BRAINLIESTHELP MATH 100 POINTS BRAINLIEST⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️ HELP MATH 100 POINTS BRAINLIEST ⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️HELP MATH 100 POINTS BRAINLIESTHELP MATH 100 POINTS BRAINLIEST⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️ HELP MATH 100 POINTS BRAINLIEST ⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️HELP MATH 100 POINTS BRAINLIEST
Answer:
\(\textsf{1.(a)} \quad x^2-14x+\boxed{49}=\left(x-\boxed{7}\right)^2\)
\(\textsf{1.(b)} \quad 9x^2 + 30x +\boxed{25}= \left(3x +\boxed{5}\right)^2\)
\(\begin{aligned}\textsf{2.(a)}\quad3x^2-24x+48&=3\left(x^2-\boxed{8}\:x+\boxed{16}\right)\\&=3\left(x-\boxed{4}\right)^2\end{aligned}\)
\(\begin{aligned}\textsf{2.(b)}\quad \dfrac{1}{2}x^2+8x+32&=\dfrac{1}{2}\left(x^2+\boxed{16}\:x+\boxed{64}\right)\\&=\dfrac{1}{2}\left(x+\boxed{8}\right)^2\end{aligned}\)
Step-by-step explanation:
Question 1(a) When completing the square for a quadratic equation in the form ax² + bx + c where the leading coefficient is one, we need to add the square of half the coefficient of the x-term:
\(x^2-14x+\left(\dfrac{-14}{2}\right)^2\)
\(x^2-14x+\left(-7\right)^2\)
\(x^2-14x+49\)
We have now created a perfect square trinomial in the form a² - 2ab + b². To factor a perfect square trinomial, use the following formula:
\(\boxed{a^2 -2ab + b^2 = (a -b)^2}\)
Therefore:
\(a^2=x^2 \implies a=1\)
\(b^2=49=7^2\implies b = 7\)
Therefore, the perfect square trinomial rewritten as a binomial squared is:
\(x^2-14x+\boxed{49}=\left(x-\boxed{7}\right)^2\)
(b) When completing the square for a quadratic equation where the leading coefficient is not one, we need to add the square of the coefficient of the x-term once it is halved and divided by the leading coefficient, and then multiply it by the leading coefficient:
\(9x^2 + 30x +9\left(\dfrac{30}{2 \cdot 9}\right)^2\)
\(9x^2 + 30x +9\left(\dfrac{5}{3}\right)^2\)
\(9x^2 + 30x +9 \cdot \dfrac{25}{9}\)
\(9x^2 + 30x +25\)
We have now created a perfect square trinomial in the form a² + 2ab + b². To factor a perfect square trinomial, use the following formula:
\(\boxed{a^2 +2ab + b^2 = (a +b)^2}\)
Therefore:
\(a^2=9x^2 = (3x)^2 \implies a = 3x\)
\(b^2=25 = 5^2 \implies b = 5\)
Therefore, the perfect square trinomial rewritten as a binomial squared is:
\(9x^2 + 30x +\boxed{25}= \left(3x +\boxed{5}\right)^2\)
\(\hrulefill\)
Question 2(a) Factor out the leading coefficient 3 from the given expression:
\(3x^2-24x+48=3\left(x^2-\boxed{8}\:x+\boxed{16}\right)\)
We have now created a perfect square trinomial in the form a² - 2ab + b² inside the parentheses. To factor a perfect square trinomial, use the following formula:
\(\boxed{a^2 -2ab + b^2 = (a -b)^2}\)
Factor the perfect square trinomial inside the parentheses:
\(=3\left(x-\boxed{4}\right)^2\)
(a) Factor out the leading coefficient 1/2 from the given expression:
\(\dfrac{1}{2}x^2+8x+32=\dfrac{1}{2}\left(x^2+\boxed{16}\:x+\boxed{64}\right)\)
We have now created a perfect square trinomial in the form a² + 2ab + b² inside the parentheses. To factor a perfect square trinomial, use the following formula:
\(\boxed{a^2+2ab + b^2 = (a +b)^2}\)
Factor the perfect square trinomial inside the parentheses:
\(=\dfrac{1}{2}\left(x+\boxed{8}\right)^2\)
Step-by-step explanation:
Since ABCD is a rectangle
⇒ AB = CD and BC = AD
x + y = 30 …………….. (i)
x – y = 14 ……………. (ii)
(i) + (ii) ⇒ 2x = 44
⇒ x = 22
Plug in x = 22 in (i)
⇒ 22 + y = 30
⇒ y = 8
Set A contains all prime numbers squared. Set B contains all multiples of 4. How many numbers are in the intersection of Set A and Set B
Answer:
The intersection operation is denoted by the symbol ∩. The set A ∩ B—read “A intersection B” or “the intersection of A and B”—is defined as the set composed of all elements that belong to both A and B. Thus, the intersection of the two committees in the foregoing example is the set consisting of Blanshard and Hixon.
Find the degree of this polynomial: ?
5x8 – 8x4 + 4