Given : AB = BC and BC = CD, AB = 3x - 1 and CD = 2x + 3 Prove: BC = 11 plz help me

Given : AB = BC And BC = CD, AB = 3x - 1 And CD = 2x + 3 Prove: BC = 11 Plz Help Me

Answers

Answer 1

Answer:

Given

Given

Transitive

Substitution

Subtraction

Addition

Substitution

Multiplication

Hard to see list of options. But this should help.

Answer 2

Given

Given

Transitive

substitution property of equality

Subtraction property of equality

Addition property of equality

multiplication property of equality

Simplify

simplify

What is substitution?

Substitution means putting numbers in place of letters to calculate the value of an expression.

What is transitive property?

The transitive property states that “if two quantities are equal to the third quantity, then we can say that all the quantities are equal to each other”

What is addition and subtraction property of equality?

The addition and subtraction property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.

What is multiplication property of equality?

The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.

According to the given question.

AB = BC and BC = CD              ( Given)

AB = 3x - 1 and CD = 2x + 3      ( Given)

Since,

AB = BC and BC = CD

⇒ AB = CD  (transitive)

Substitute the value of AB and CD in AB = CD

⇒  [tex]3x - 1 = 2x + 3[/tex]  (substitution property of equality)

⇒  [tex]x -1= 3[/tex]               (subtraction property of equality)

⇒   [tex]x = 4[/tex]                     (Addition property of equality)

Since,

AB = BC

⇒ AB= 3x -1        

⇒ [tex]AB = 3(4) - 1[/tex]                   ( multiplication property of equality)

⇒ [tex]AB = 11[/tex]                          (simplify)                                  

Therefore,

BC = 11                               (simplify)

Find out more information about substitution, addition, subtraction and transitive property of equality  here:

https://brainly.com/question/27810586

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Related Questions

Can someone help me with this math homework please!

Answers

Answer:

11.2

Step-by-step explanation:

[tex]p =\frac{160.16}{14.3}=\frac{160.16*10}{14.3*10}\\\\p = \frac{1601.6}{143}\\\\[/tex]

p = 11.2

Answer:

The person above me is correct I just did the work and I got the same answer as them :)

Step-by-step explanation:

which shows the numbers 1/10, 0.9, 3/10 in order from least to greatest​

Answers

Answer:

1/10, 0.9, 3/10

Step-by-step explanation:

#carryonlearning

I dont understand what to do?

Answers

Answer:

a) 122°

b) 37°

Step-by-step explanation:

a) supplement angle of 58° = 180° - 58° =122°

b) complement angle of 53° = 90° - 53° = 37°

Someone tell me where everyone is going right please !!

Answers

9514 1404 393

Explanation:

The problem statement tells you the meaning of t. It is minutes after Riko leaves. 0 ≤ t < 52.5 is the answer to the question regarding the interval Riko is behind Yuto. It means Riko is behind Yuto for 52.5 minutes after she leaves their house.

t will not be negative because time moves forward. Here, we're only counting time after Riko leaves the house. A negative value for t would refer to a time before Riko leaves the house, which is irrelevant in this problem.*

_____

* One might argue that Riko is behind Yuto for all values of time after Yuto leaves the house, which would be for -21 < t < 52.5. The concept of "behind Yuto" has no meaning except in that interval.

Answer:

again again again hello or merhaba(hello)

speed = path / time

so we can say this;

speed × time = path

note;

two speeds in different directions add up

and

two speeds in the same direction subtract

our speeds are in the same direction so we subtract

0.35 - 0.25 = 0.10 speed

and our path is 5.25 miles because there are 5.25 miles between Yuto and Rico

when will they be in the same place now?

Let's solve with the formul;

speed × time = path

0.10 × time = 5.25 miles

in this equation we find the time 52.5 minutes

After 52.5 minutes they will be in the same place but before 52.5 minutes Riko will be behind Yuto

When Riko was behind Yuto;

0≤ t ≤ 52,5 ( this is our equation of time)

now the second question?

Why can't t be less than 0?

because time cannot take a negative value, as soon as they start moving, time passes and this cannot take a negative value

GOOD LUCK :D

Step-by-step explanation:

greetings from Turkey (≧▽≦)


Pls answer 13 b ill mark u brainlist

Answers

Answer:

7 students

Step-by-step explanation:

1+2+4=7students

Can someone help me with this math homework please!

Answers

Answer:

The vertical line test can be used to determine whether a graph represents a function.

If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Helpppp please
Find the volume of this object.
Use 3 for pi

Answers

Answer:

The sphere

[tex]v=\frac{4}{3} \pi r^{3}=\frac{4}{3}*3.14 *2^{3}=\frac{4*3.14*8}{3}=\frac{100.48}{3}=33.493[/tex]

The cylinder

[tex]v=\pi r^{2} h=3.14*(\frac{4}{2} )^{2}*3=3.14*2^{2}*3=9.42*4=37.68[/tex]

Add those two volumes together:

[tex]33.493 + 37.68 = 71.173 in^{3}[/tex]

The tables below show the values of y corresponding to different values of x: Table A x 3 3 2 y 1 0 0 Table B x 3 5 5 y −2 2 −2 Which statement is true for the tables? (1 point) Both Table A and Table B represent functions. Both Table A and Table B do not represent functions. Table A does not represent a function, but Table B represents a function. Table A represents a function, but Table B does not represent a function.

Answers

Answer:

is it possable you can show the graph

Step-by-step explanation:

Answer:

2nd option ,that is, Both tables do not represent a function.

Step-by-step explanation:

For a table to represent a function it's input value must correspond to exactly one output value.

As in Table A the input value of 3 corresponds to 2 different outputs, where

as in table B the input value of 5 corresponds to 2 different outputs.

x is taken as the input and y is taken as output for both the tables.

Therefore, Both tables dobnot represent a function.

Question 2 of 10
The graph of g(x), shown below, resembles the graph of f(x) = x - x2, but it
has been changed somewhat. Which of the following could be the equation
of g(x)?

Answers

Answer:

option C is correct

x^4 - x^2 - 2.5

If we add any constant c in the function then it gets shifted upward by the c unit. Then the function g(x) is above the function f(x) by 2.5 units.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable.

Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The functions are g(x) and f(x) are given below.

f(x) = x⁴-x²

g(x) = x⁴-x²+2.5

We know that if we add any constant c in the function then it gets shifted upward by the c unit.

The graph is shown.

More about the function link is given below.

brainly.com/question/5245372

#SPJ7


If 9^x = 81, then 3(3^x) =

A) 27
B) 3
C) 9
D) 81
E) 243

Answers

Answer:

A) 27

Step-by-step explanation:

[tex]9^{x}[/tex] = 81

x = 2

3([tex]3^{2}[/tex]) = 3(9) = 27

prove that . 1+cot2 theta = cosec2theta​

Answers

Answer:

see explanation

Step-by-step explanation:

Using the Pythagorean identity

sin²θ + cos²θ = 1 ( divide terms by sin²θ )

[tex]\frac{sin^20}{sin^20}[/tex] + [tex]\frac{cos^20}{sin^20}[/tex] = [tex]\frac{1}{sin^20}[/tex] , that is

1 + cot²θ = cosec²θ ← as required

Using the digits 0, 1, 2, ...8, 9, determine how many 4-digit numbers can be constructed according to the following criteria.
The number must be odd and greater than 6,000; digits may be repeated.
The number of 4-digit numbers that can be constructed is

Answers

Answer:

2000

Step-by-step explanation:

Since the number must be odd, it can have either 1, 3, 5, 7 or 9 in its one's place.

With a 4-digit number starting with 6, any of these digits can be in the one's place and it will still be greater than 6,000.

For the one's place, since we can choose from 5 digits, we have ⁵P₁. In the thousands place, we have one digit which is 6. For the tens and hundreds, place, we can choose from ten digits. So, we have ¹⁰P₁ and ¹⁰P₁ respectively.

So, the total number of 4 digit odd numbers greater than 6000 starting with 6 are 1 × ¹⁰P₁ × ¹⁰P₁ × ⁵P₁ = 1 × 10 × 10 × 5 = 500 numbers.

For the thousands place, we are left with the digits 7, 8 and 9. So, to arrange these 3 digits in the thousands place, we have ³P₁. For the tens and hundreds, place, we can choose from ten digits. So, we have ¹⁰P₁ and ¹⁰P₁ respectively. For the one's place, since we can choose from 5 digits, we have ⁵P₁.

So, the total number of 4 digit odd numbers greater than 6000 starting with 7, 8 or 9 are  ³P₁ × ¹⁰P₁ × ¹⁰P₁ × ⁵P₁ = 3 × 10 × 10 × 5 = 1500 numbers.

So, the total number of 4-digit numbers greater than 6000 that can be constructed is 500 + 1500 = 2000 numbers.

SOMEONE PLEASE HELP ME! IM SO CONFUSED, NEED THIS VERY BADLY!

Answers

Answer:

115°

Step-by-step explanation:

in a parallelogram vertically opposite angles are equal.

m∠MNK=m∠KLM=115°

Given f(x) = 1 - 2x with the range {-3, -5, -7 }, find the domain.

Answers

Answer:

{2,3,4}

Step-by-step explanation:

The range are simply the f(x) values

The range are the x values

To get the x values, we simply get x from each f(x)

So we have;

1-2x = -3

1+ 3 = 2x

2x = 4

x = 4/2

x = 2

Secondly;

1-2x = -5

1 + 5 = 2x

2x = 6

x = 6/2

x = 3

lastly;

1-2x = -7

1 + 7 = 2x

2x = 8

x = 8/2

x = 4

So the domain values are;

{2,3,4}

HELP ME PLSSSSSSS!!!!!!!!!

Answers

Domain of the function

[-3,5)

A client has two refrigerators, one in the kitchen and one in the basement.The former is new and efficient. The latter is 30 years old and uses 120Kwh/month. If this client pays 0.15/kwh

Answers

Incomplete question: we assume figures to explain further

Answer and explanation:

Given that client pays $0.15/kwh

If old fridge is inefficient and consumes 120kwh/month

And new fridge is efficient and therefore consumes 50kwh/month

For the old fridge, client will be paying

120×0.15= $18 per month on electricity charges

For the new fridge, client will be paying

50×0.15= $7.5 per month on electricity charges

Isosceles trapezoid EFGH has area 80 cm ^2, height 20 cm and legs 22 cm. One of the bases is 5 cm. How long is the remaining base ?

Answers

Answer:

3

Step-by-step explanation:

A = [tex]\frac{base1 + base2}{2}[/tex] x h     Formula

[tex]\frac{base1 + 5}{2}[/tex] x 20 = 80      Substitution

[tex]\frac{base1 + 5}{2}[/tex] = 4                 Work  (divide by 20, multiply by 2, subtract 5)

base1 + 5 = 8

base1 = 3                  Solution

find the slope of the line 3x-5y =0

Answers

Answer:

slope= ⅗

Step-by-step explanation:

Rewrite the equation into the slope-intercept form, y=mx +c, where m is the gradient and c is the y-intercept.

3x- 5y= 0

+5y on both sides of the equation:

5y= 3x

Divide both sides by 5:

y= ⅗x

From the coefficient of x, the slope of the line is .

What is the length of a diagonal of a square with a side length of 6?
A. 3
B. V
C. 3.12
D. 6

Answers

8.5? i’m pretty sure
Assuming both the Adjacent and the Opposite side of the triangle is 6, you’ll need to square both the sides and add them.
Step 1. Square both known sides.
6^2+6^2
Step 2. Simplify.
36+36=72
Step 3. Square root your final answer to find the diagonal or hypotenuse.
Square root of 72 is 8.49.

Answer: 8.5 for the length of the diagonal.

-If one of the sides isn’t 6, repeat the steps above and plug in the different number

A standard six-sided die is rolled $6$ times. You are told that among the rolls, there was one $1,$ two $2$'s, and three $3$'s. How many possible sequences of rolls could there have been? (For example, $3,2,3,1,3,2$ is one possible sequence.)

Answers

Answer:

Step-by-step explanation:

Answer:

Sequence = 120

Step-by-step explanation:

Given

6 rolls of a die;

Required

Determine the possible sequence of rolls

From the question, we understand that there were three possible outcomes when the die was rolled;

The outcomes are either of the following faces: 1, 2 and 3

Total Number of rolls = 6

Possible number of outcomes = 3

The possible sequence of rolls is then calculated by dividing the factorial of the above parameters as follows;

Sequence = \frac{6!}{3!}

Sequence = \frac{6 * 5 * 4* 3!}{3!}

Sequence = 6 * 5 * 4

Sequence = 120

Hence, there are 120 possible sequence.

Step-by-step explanation:

Hope this helps

What is 6 1/3 divied by 1/6

Answers

Answer:

38

Step-by-step explanation:

6⅓÷⅙

change 6⅓ to improper fraction

19/3÷1/6

keep the first fraction, change the division sign to multiplication and reciprocate/flip the second fraction

19/3× 6/1

the denominator 3 and numerator 6 will simplify/cancel each other

the new fraction is now: 19/1 × 2/1

there is no need to multiply the denominators because it will still be equal to 1 so we just need to multiply the numerators by each other

19×2=38 OR 38/1 (both answers are the same)


[tex]solve : - \\ \\ (10 {}^{2} - 6 {}^{2} ) = {?}[/tex]

Answers

[tex]\longrightarrow{\blue{64}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] = (10 {}^{2} - 6 {}^{2} ) [/tex]

[tex] = [(10 \times 10) - (6 \times 6)][/tex]

[tex] = (10 0- 36)[/tex]

[tex] = 64[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]

The answer will be 64

If the vertex of a parabola is (-4, 6) and another point on the curve is (-3, 14), what is the coefficient of the squared expression in the parabola's equation?

Answers

Answer:

[tex]y=a(x-h)^{2} +k[/tex]

[tex](x,y)=(-3,14)[/tex]

[tex](h,k)=(-4,6)[/tex]

[tex]14=a(-3-(-4))^{2})+6[/tex]

[tex]14=a(-3+4)^{2} +6[/tex]

[tex]14=a(1)^{2} +6,-6[/tex]

[tex]8=a[/tex]

[tex]ANSWER:8[/tex]

--------------------------

HOPE IT HELPS

HAVE A GREAT DAY!!

Please help. I don’t understand I rlly appreciate it if you help!

Answers

Hi there!

We know that the angles ∠B and ∠A are supplementary because they are both interior angles. Therefore:

180 = ∠A + ∠B

Rewrite:

180 = (6x - 48) + (4x + 38)

Combine like terms:

180 = 10x - 10

Solve for x:

190 = 10x

x = 19

Solve for ∠B by plugging in this value of x:

∠B = 4(19) + 38

∠B = 76 + 38

∠B = 114

In 2005, there were 1000 rabbits on an island. The population grows 8% per year. AT this rate, how many
rabbits will there be on the island by 2020?

Answers

Answer: 3172

Step-by-step explanation:

Identify the equivalent expressions of 4(2x + x – 3) – 3x + 3.

Answers

Answer:

9x - 9

Step-by-step explanation:

4(2x + x - 3) - 3x + 3

Simplify the expression, combine like terms in the parenthesis,

4(3x - 3) - 3x + 3

Distribute, multiply every term inside the parenthesis by the number outside of it;

(4)(3x) + (4)(-3) - 3x + 3

Simplify,

12x - 12 - 3x + 3

Combine like terms,

12x - 12 - 3x + 3

9x - 12 + 3

9x - 9

Find the integral of x(4x² + 1) from 0 to 2. a. 18 c. 22 b. 16 d. 20

Answers

Answer:

a. 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Calculus

Integrals

Definite Integrals

Integration Rule [Reverse Power Rule]:                                                                      [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                        [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                             [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                           [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^2_0 {x(4x^2 + 1)} \, dx[/tex]

Step 2: Integrate

[Integrand] Distribute x [Distributive Property]:                                              [tex]\displaystyle \int\limits^2_0 {(4x^3 + x)} \, dx[/tex]Rewrite Integral [Integration Property - Addition/Subtraction]:                     [tex]\displaystyle \int\limits^2_0 {4x^3} \, dx + \int\limits^2_0 {x} \, dx[/tex]Rewrite 1st Integral [Integration Property - Multiplied Constant]:                 [tex]\displaystyle 4\int\limits^2_0 {x^3} \, dx + \int\limits^2_0 {x} \, dx[/tex][Integrals] Reverse Power Rule:                                                                      [tex]\displaystyle 4(\frac{x^4}{4}) \bigg| \limits^2_0 + (\frac{x^2}{2}) \bigg| \limits^2_0[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:              [tex]\displaystyle 4(4) + 2[/tex]Evaluate:                                                                                                           [tex]\displaystyle 18[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

I need help ASAP please help! I have to choose between 4 graphs

Answers

Answer:

Step-by-step explanation:

This is a sideways cubic translated down 2 units. The graph shown is the sideways cubic translated up 2. So locate the graph that looks like this but has its "squiggly part" at -2 instead of 2.

Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound ​

Answers

what's the whole question??

Express tan J as a fraction in simplest terms​

Answers

Answer:

SOH-CAH-TOA

tan = opposite/adjacent

tan J = 15/20 = 3/4

Step-by-step explanation:

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