Which property of equality illustrates the statement "If AC = 14, then BD + AC = BD + 14?"
A. Transitive Property of Equality
B. Symmetric Property of Equality
C. Division Property of Equality
D. Substitution Property of Equality​

Answers

Answer 1

'Substitution Property of Equality'  illustrates the statement "If AC = 14, then BD + AC = BD + 14" from the question.

What is property of equality?

The equality characteristics define the relationship between two equal quantities. If a mathematical operation is applied to one side of an equation, it must also be applied to the opposing side to keep the equation balanced.

The Substitution Property of Equality states that if we know that two expressions are equal, we can substitute one of them for the other in any equation.

In this statement, it is stated that "If AC = 14, then BD + AC = BD + 14." Here we substitute 14 for AC in BD + AC = BD + 14. Which means that if we know that AC = 14, we can substitute 14 for AC in any equation, and the equation will still be true.

Therefore, given statement illustrates the Substitution Property of Equality.

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Related Questions

Please help me with this question

Answers

Answer:

Step-by-step explanation:

i have no idea

NO LINKS OR ATTACHMENTS PLEASE. Maria had picked 6 bags of oranges. How many glasses of orange juice could she make if each glass took one-quarter of a bag?

Answers

Answer:

24

Step-by-step explanation:

You just do 6 / 1/4 = 24

Canvas Reproductions, Inc has RM4,500 researching a new project. The project requires RM20,000 worth of new machinery which would cost RM3,000 to install. The company would realize RM4,500 in after tax proceeds from the sale of the old machinery. If Canvas’s working capital is unaffected by this project, what is the initial investment amount for this project?

Answers

Hi. This is an informal letter .

The body of letter goes like this

Hi friend hope u are enjoying ur life and luck find u in best state of mind. My exam have been over and wanted to share my experience with my near and dear one so I was planning to come to ur place to enjoy my vacationHi. This is an informal letter .

The body of letter goes like this

Hi friend hope u are enjoying ur life and luck find u in best state of mind. My exam have been over and wanted to share my experience with my near and dear one so I was planning to come to ur place to enjoy my vacationHi. This is an informal letter .

The body of letter goes like this

Hi friend hope u are enjoying ur life and luck find u in best state of mind. My exam have been over and wanted to share my experience with my near and dear one so I was planning to come to ur place to enjoy my vacationHi. This is an informal letter .

The body of letter goes like this

Hi friend hope u are enjoying ur life and luck find u in best state of mind. My exam have been over and wanted to share my experience with my near and dear one so I was planning to come to ur place to enjoy my vacation

on Monday the solar panels on a house produced 37.124 units of energy. On Tuesday, the solar panels produced 2,846 fewer units of energy than on Monday. What is the total number of units of energy in two days.

Answers

The total number of units of energy produced in the two days is 71,402.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Monday:

Energy = 37,124

Tuesday:

Energy = 37,124 - 2846 = 34278

The total energy produced.

= 37124 + 34278

= 71402

Thus,

The total number of energy in two days is 71,402.

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Find the area
of this figure.
12m
15m
5m
8m
5m

Answers

Answer:

The answer is 12×15×5×8×5 =36,000m

There are 200 raffle tickets in a box. There are four 1st prize tickets, eight 2nd prize tickets, and sixteen 3rd prize tickets. When one ticket is selected, what is the probability of it being a 1st prize, 2nd prize, or 3rd prize ticket?
0.08
0.16
0.04
0.14

Answers

Answer:

0.14

Step-by-step explanation:

The answer is: 0.14

I hope this helps!

a) calculer: f(1,5); f(2,5); f(2)

Answers

Answer:

Step-by-step explanation:

you should give the function, if i haven't it, how can i help you.

i can give u some tips, put 1.5, 2.5, 2 in function respectively. then calculate them, u will get the answer.

Which expression is equivalent to 3(6m) + m? A. 19m B. 21m C. 7m + 3 D. 18m + 6m²

Answers

Answer:

3(6m)+m=18m+m=19m so your answer would be A. 19m

Step-by-step explanation:

19m because 6 times 3 is 18. Plus 1 is 19

5. A candy company used 12 gallons of syrup to make 6 batches of candy. What is the rate of syrup per batch?​ (Please explain!)

Answers

Answer: 2 gallons of syrup per batch

Step-by-step explanation:

12/6=2

The coordinates of cd are C(-7,-2) and D (-3,-5) Point E is the midpoint of cd What are the coordinates of the midpoint E?

Answers

The coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let (x, y) represent the coordinate of the midpoint E. Point E is the midpoint of CD, hence:

x = [(-7) + (-3)] / 2 = -5

y = [(-2) + (-5)] / 2 = -3.5

Therefore the coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)

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Is the point (4,0) on the parabola given by the equation: y=x^2-4x? Explain your answer
HELPP PLEASE ILL MARK BRAINIEST

Answers

Give the point (4,0) you’re going to substitute those given numbers into the equation so, 0=4^2-4(4) now we know four squared is 16 and negative times a positive is negative 16 so 0=16-16, 0=0 this is true. Point (4,0) is indeed on the parabola

Suppose $28,000 is deposited into an account paying 5.25% interest, which is compounded continuously. How much money will be in the account after 4 years if no withdrawals or additional deposits are made?

Answers

The formula for continuously compounded interest is:

A = P * e^(rt)

where:

A is the final amount

P is the initial amount (the principal)

r is the annual interest rate (in decimal form)

t is the number of years the interest is compounded

Substituting in the given values, we get:

A = $28,000 * e^(0.0525 * 4) = $28,000 * e^0.21 = $28,000 * 1.23 = $28000*1.23 = 34,540

Therefore, there will be $34,540 in the account after 4 years.

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how many terms of AP - 6. - 11 by 2 .minus 5 are needed to be the sum -25​

Answers

Given:

The terms of a sequence are:

[tex]-6,-\dfrac{11}{2},-5[/tex]

To find:

The number of terms whose sum is -25.

Solution:

We have, the given sequence:

[tex]-6,-\dfrac{11}{2},-5[/tex]

Here, the first term is -6.

[tex]-\dfrac{11}{2}-(-6)=-5.5+6[/tex]

[tex]-\dfrac{11}{2}-(-6)=0.5[/tex]

Similarly,

[tex]-5-(-\dfrac{11}{2})=-5+5.5[/tex]

[tex]-5-(-\dfrac{11}{2})=0.5[/tex]

The difference between consecutive terms are same. So, the given sequence is an arithmetic sequence with common difference 0.5.

The sum of n terms of an arithmetic sequence is:

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

Where, a is the first term, d is the common difference.

Putting [tex]S_n=-25,a=-6,d=0.5[/tex], we get

[tex]-25=\dfrac{n}{2}[2(-6)+(n-1)0.5][/tex]

[tex]-50=n[-12+0.5n-0.5][/tex]

[tex]-50=-12.5n+0.5n^2[/tex]

[tex]0=0.5n^2-12.5n+50[/tex]

Splitting the middle term, we get

[tex]0.5n^2-2.5n-10n+50=0[/tex]

[tex]0.5n(n-5)-10(n-5)=0[/tex]

[tex](0.5n-10)(n-5)=0[/tex]

Using zero product property, we get

[tex](0.5n-10)=0[/tex] and [tex](n-5)=0[/tex]

[tex]n=\dfrac{10}{0.5}[/tex] and [tex]n=5[/tex]

[tex]n=20[/tex] and [tex]n=5[/tex]

Therefore, the sum of either 5 or 20 terms is -25.

in the xy-plane what is the y-intercept of the graph of the equation y=(x-2)^2?

Answers

As a result, the graph of the equation y=(x-2)2 in the xy plane has the y-intercept of y = -9.

what is equation ?

The number is said to be in its simplest form when divided into its smallest equivalent fraction. What should be done to find the most basic form. Look for common factors in the numerator and denominator. Verify a fractional integer to verify if it qualifies as a prime number. A statement having two collinear and an equal marker in the middle is called an equation in mathematics. The general form of any equation contains the degrees of all the variables in descending order. The conventional form of a linear equation is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar).  An identity holds true regardless of the value given to the variables.

given

Equation as given:

y = 6 (x - 1/2)(x+3)

To identify the equation's graph's y-intercept

Put x = 0 in place of it in the equation.

y = 6 (0 - 1/2)(0+3)

Apply the math operation, then find y.

y = -9

As a result, the graph of the equation y=(x-2)2 in the xy plane has the y-intercept of y = -9.

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The probability that you get to the bus stop on time is 0.25. The probability that the bus arrives on time is 0.55. What is the probability that you will get to the bus stop on time and the bus arrives on time?



PLEASE HELP!! i’ll mark you brainliest please !

Answers

Answer:

P(A) * P(B)

.25*.55

.1375

Step-by-step explanation:

P(A) * P(B)

.25*.55

UGHH WHAT DOES THAT MEANN?!! PLEASE TELL ME HOW TO WRITE!! It

Answers

0.45$ I am writing this because it tells me I need atleast 20 characters blah blah blah

Answer:

.45

Step-by-step explanation:

it wants u to divide 5.40 by 12

HOPE THIS HELPS CHU (≧w≦)

some1 hurry up i need help

Answers

Answer:

9 because the opposite of -9 is 9

hope this helped gl

Step-by-step explanation:

can someone pls help me w this question ??

Answers

10 sorry if I am wrong

How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions

Answers

Answer:

B) One solution

Step-by-step explanation:

Clearly, the two linear equations graphed have one point of intersection, which means one solution.

Answer:

B

Step-by-step explanation:

the solution is the intersection of the two lines

Which algebraic expression represents the phrase "seven more than half of a number”?

Answers

Answer:

7+ x/2

Step by step explanation:

“Seven more” is addition in word form, and “half of a number” refers to a variable (in this case x) being divided by 2. Hope this helps! :)

PLS HELP FOR 10 POINTS PLEASE SHOW YOUR WORK
IF YOUR A BOT JUST SENDING A FILE TO CLICK ON THERE THEN YOU WILL BE REPORTED.
THANK YOU!
question: find the measure of the missing angle

Answers

Answer:

25º

Step-by-step explanation:

Answer = 180 - (100 + 55)

Answer = 180 - 155

Answer = 25º

Hope that helps! :)

-Aphrodite

Answer: The measure of the missing angle is 25 degrees

Step-by-step explanation:

A triangle equals 180 degrees so you would add the 100 degrees and 55 degrees and then subtract that from 180. Then you have your answer. :)

Find a formula for the sequence 3, 9/4, 27/7, 81/10,... in sigma notation​

Answers

9514 1404 393

Answer:

  [tex]\displaystyle S_n=\sum_{k=1}^n{\frac{3^k}{3k-2}}[/tex]

Step-by-step explanation:

The sequence terms appear to have numerators that are powers of 3, and denominators that are a linear (arithmetic) sequence with a first term of 1 and a common difference of 3.

  numerator: 3^x

  denominator: 1 +3(n -1) = 3n-2

Then the sum of n terms of the sequence can be described by ...

  [tex]\displaystyle \boxed{S_n=\sum_{k=1}^n{\frac{3^k}{3k-2}}}[/tex]

Gloria is categorizing triangles based on their properties. The side lengths of the triangles are listed below. Triangle 1: 3 cm, 4 cm, 5 cm Triangle 2: 5 cm, 5 cm, 7 cm Triangle 3: 6 cm, 7 cm, 9 cm Triangle 4: 8 cm, 8 cm, 8 cm She places the triangles into 3 different groups: scalene, isosceles, and equilateral. Which pair of triangles would Gloria put in the same group?

A. 1 and 2 B. 1 and 3 C. 2 and 3 D. 2 and 4

Answers

B. 1 and 3
Triangle 1 is considered scalene as it has 3 sides all different sizes
And the same applies for triangle 3

PLEASE HURRY AND HELP!!!
Which of the following tables represents a linear relationship that is also proportional?


x y
0 3
3 6
6 9

x y
0 4
2 6
4 8

x y
0 0
6 3
12 6

x y
0 3
5 5
10 7

Answers

Table (x, y) equals (0, 0), (6, 3), and (12, 6) represents a linear relationship that is also proportional.

What are ratio and proportion?

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

The first option is linear but not proportional as 3 ×2 = 6 and 6×2 = 12.

By observing the given options we conclude that the third option is linear and proportional as,

6 ÷ 2 = 3 and 12 ÷ 2 = 6.

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which of the following shows the numbers in the box shown below listed in the increasing order

Answers

The answer is D -3,-2,-1, 1/2, 3/2

Helppppppppppppppppppppppppppp

Answers

Answer:

20 inches

[tex]c = \sqrt{12 ^{2} + 16 ^{2} } \\ c = \sqrt{400} \\ c = 20[/tex]

Evaluate (99)3 using suitable identities​

Answers

Answer:

297

Step-by-step explanation:

(99)3 =

(99) x 3 =

(90 + 9) x 3 =

(90) x 3 + (9) x 3 =

90 x 3 + 9 x 3 =

270 + 27 =

297

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Correction:

Evaluate (99)^3 using suitable identities.

Solution:

(99)^3 = (100 - 1)^3

since, (a - b)^2 = a^3 - b^3 - 3ab (a-b)

Where,

a = 100 andb = 1

Now,

(99)^3

=> (100)^3 - (1)^3 - 3(100)(1)(100 - 1)

=> 1000000 - 1 - 3(100)(100 - 1)

=> 1000000 - 1 - 300 (99)

=> 1000000 - 1 - 29700

=> 970299 Ans.

Use Pythagorean Theorem to find the missing
measurement. Show your work. Round to the nearest
hundredth if necessary.
a, 12 ft; b. 12 ft

Answers

Answer:

12^2+12^2=c^2

Step-by-step explanation:

12x12=144 + 12x12=144=c^2

288=c^2

find the square root of 288

19.97=c 20=c

A bag contains only red marbles and blue marbles.

• The number of red marbles in the bag can be represented by x.

• The number of blue marbles is 12 more than 3 times the number of red marbles.

• There are a total of 48 marbles in the bag.

What is x, the number of red marbles in the bag?

Answers

Answer:

12 red marbles in the bag

Please help me asap

Answers

On solving the provided question, we cans ay that By unitary method, the amount to be removed = original - shortened = 3/9 - 2/9 = 1/9

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

By unitary method,

original length of pipe = 3/9 inch

shortened length of pipe = 2/9

so, the amount to be removed = original - shortened = 3/9 - 2/9 = 1/9

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