A mural inspired by a photograph measures 108 inches by 180 inches. The scale of the photograph to the mural is 1 in.:12 in. What are the dimensions of the photograph?

Answers

Answer 1

Answer:

9x9

Step-by-step explanation:

Divide 108/12

108/12=9

you have a 9x9 photo

hope this helps!


Related Questions

Which answer needs to be true to be able to use the SSS Congruence Postulate to prove △ABC≅△DBC? AB¯¯¯¯¯¯¯¯≅DB¯¯¯¯¯¯¯¯ and ∠ACB≅∠DCB ∠ACB≅∠DCB and ∠A≅∠D AB¯¯¯¯¯¯¯¯≅DB¯¯¯¯¯¯¯¯ and AC¯¯¯¯¯¯¯¯≅DC¯¯¯¯¯¯¯¯ AB¯¯¯¯¯¯¯¯≅DB¯¯¯¯¯¯¯¯ or AC¯¯¯¯¯¯¯¯≅DC¯¯¯¯¯¯¯¯

Answers

Answer:

The correct option is;

[tex]\overline{AB}\cong \overline{DB}[/tex]  and  [tex]\overline{AC}\cong \overline{DC}[/tex]

Step-by-step explanation:

The steps to prove that ΔABC ≅ ΔDBC with the SSS Congruence postulate

We have;

Statement,                     Reason

BC ≅ BC,                       Reflexive property

[tex]\overline{AB}\cong \overline{DB}[/tex],                      Option selected

[tex]\overline{AC}\cong \overline{DC}[/tex],                      Option selected

ΔABC ≅ ΔDBC,              SSS Congruency Postulate

Therefore, whereby all three sides of the triangles ABC and DBC are congruent, then ΔABC is congruent to ΔDBC.                      

Answer:

AC≅DF

AB≅DE

Step-by-step explanation:

took the test :)

In a school the the duration of primary section is 40 min and senior section is hour if the bell rings at 9 am together when will the next bell ring together

Answers

Answer:

11 a.m.

Step-by-step explanation:

Duration of Primary Period = 40 min

Duration of Senior Section =1 hour = 60 min

To find out when the next bell will ring together, we first determine the LCM of 40 and 60.

Multiples of 40 are: 40,80,120,160,...

Multiples of 60 are: 60, 120, 180, 240...

From the above, we observe that the bell will ring together exactly 120 Minutes after 9 a.m.

Therefore:

9+120 Min =9 +2 Hours =11 a.m.

Therefore, the bell of the primary section and senior section will ring together at exactly 11 am.


use
tiles
Algebra
factor​ for X^2-2x-3

Answers

Answer:

I hope it's correct

10. 80 machines can produce 4800 identical pens in 5 hours. At this rate
a) how many pens would one machine produce in one hour?
b) how many pens would 25 machines produce in 7 hours?

Answers

Answer:

a) 12 (Simply divide 4800/5 to get 960.  Then divide 960/80 to get 12)

b) 2100 (Simply multiply 12 by 25 by 7)

Hope it helps <3

I don't understand???? I'll give the brainliest!!!!!

Answers

Answer:

37

Option A is the correct option.

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} - 2ab \: \cos \: c \: = {c}^{2} \\ a = 4 \\ b = 5 \\ c = 2 \\ \\ 2ab \: cos \: c = {a}^{2} + {b}^{2} - {c}^{2} \\ \: \: \: \: \: \: \: \: = {(4)}^{2} + {(5)}^{2} - {(2)}^{2} \\ \: \: \: \: \: \: \: \: = 16 + 25 - 4 \\ \: \: \: \: \: \: = 41 - 4 \\ \: \: \: \: \: \: = 37[/tex]

Hope this helps...

Good luck on your assignment...

The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of water in the pool. The pool is empty after 70 minutes.

Calculate the rate that the water is draining out of the pool. (Hint: remember this line is sloping down to the right)

Answers

Answer:

900L per minute

Step-by-step explanation:

1- 70 - 20 = 50

2- in this 50 min the 45000L has been drawned

3- 45000L / 50 = 900L

.. ..

At the science fair, Tanvi uses 8 fluid ounces of vinegar to make her volcano erupt. How many times can she make her volcano erupt with 1 quart of vinegar?

Answers

Answer:

4 times

Step-by-step explanation:

1 quart is equivalent to 32 fluid ounces.

If each eruption consumes 8 fluid ounces of vinegar. Assuming that the amount of vinegar required per eruption is constant, the number of times Tanvi can make her volcano erupt is:

[tex]n=\frac{32}{8}\\n=4\ times[/tex]

Tanvi can make her volcano erupt 4 times  with 1 quart of vinegar.

Answer:

Step-by-step explanation:

can somebody help me plz​

Answers

Answer:

126 people

Step-by-step explanation:

9/5 is the ratio tea/coffee

let x be the one who preferred coffee and x+36 preferred tea

9/5=x+36/x

9x=5x+5(36)

9x-5x=180

4x=180

x=180/4=45

x=45 coffee

x+36=45+36=81

45+81=126

check : 81/45= 9/5

Can someone help assist me on this Honors Algebra 2 Problem? Challenge Problems #6. The distance from a point on the curve y=√x to the point (2,0) is equal to 2 at what points on the curve? (Hint: Draw a picture.)

Answers

Answer:  (0, 0) & (3, √3)

Step-by-step explanation:

Since we need a distance of 2, I graphed y = √x and then drew a circle at center (2, 0) and radius of 2 to see where they intersect.

The coordinates of intersection can be determined by solving a system of equations.

Equation 1: y = √x

Equation 2: (x - 2)² + y² = 2²

I will use the Substitution method with Equation 2 to solve for x:

(x - 2)² + (√x)² = 2²        substituted y with √x

x² - 4x + 4 + x = 4           expanded binomial

x² - 3x + 4 = 4                 added like terms

x² - 3x = 0                       subtracted 4 from both sides

x(x - 3) = 0                       factored

x = 0     x - 3 = 0             applied Zero Product Property

            x = 3

Next, solve for y using Equation 1:

x = 0:    y = √0 = 0

x = 3:    y = √3

Coordinates of intersection are: (0, 0) & (3, √3)

Answer:

(0, 0) & (3, √3)

Step-by-step explanation:

use the bionomial theorem to write the binomial expansion
[tex]( \frac{1}{2}x + 3y) ^{4} [/tex]

Answers

Answer:

[tex]$\left(\frac{x}{2} + 3 y\right)^{4}=\frac{x^{4}}{16} + \frac{3}{2} x^{3} y + \frac{27}{2} x^{2} y^{2} + 54 x y^{3} + 81 y^{4}$[/tex]

Step-by-step explanation:

[tex]$\left(\frac{1}{2}x+3y \right)^4=\left(\frac{x}{2}+3y \right)^4\\$[/tex]

Binomial Expansion Formula:

[tex]$(a+b)^n=\sum_{k=0}^n \binom{n}{k} a^{n-k} b^k$[/tex], also [tex]$\binom{n}{k}=\frac{n!}{(n-k)!k!}$[/tex]

We have to solve [tex]$\left(\frac{x}{2} + 3 y\right)^{4}=\sum_{k=0}^{4} \binom{4}{k} \left(3 y\right)^{4-k} \left(\frac{x}{2}\right)^k$[/tex]

Now we should calculate for [tex]k=0, k=1, k=2, k=3 \text{ and } k =4;[/tex]

First, for [tex]k=0[/tex]

[tex]$\binom{4}{0} \left(3 y\right)^{4-0} \left(\frac{x}{2}\right)^{0}=\frac{4!}{(4-0)! 0!}\left(3 y\right)^{4} \left(\frac{x}{2}\right)^{0}=\frac{4!}{4!}(81y^4)\cdot 1 =81 y^{4}$[/tex]

It is the same procedure for the other:

For [tex]k=1[/tex]

[tex]$\binom{4}{1} \left(3 y\right)^{4-1} \left(\frac{x}{2}\right)^{1}=54 x y^{3}$[/tex]

For [tex]k=2[/tex]

[tex]$\binom{4}{2} \left(3 y\right)^{4-2} \left(\frac{x}{2}\right)^{2}=\frac{27}{2} x^{2} y^{2}$[/tex]

For [tex]k=3[/tex]

[tex]$\binom{4}{3} \left(3 y\right)^{4-3} \left(\frac{x}{2}\right)^{3}=\frac{3}{2} x^{3} y$[/tex]

For [tex]k=4[/tex]

[tex]$\binom{4}{4} \left(3 y\right)^{4-4} \left(\frac{x}{2}\right)^{4}=\frac{x^{4}}{16}$[/tex]

You can perform the calculations, I will not type everything.

The answer is the sum of elements calculated.

Just organizing:

[tex]$\left(\frac{x}{2} + 3 y\right)^{4}=\frac{x^{4}}{16} + \frac{3}{2} x^{3} y + \frac{27}{2} x^{2} y^{2} + 54 x y^{3} + 81 y^{4}$[/tex]

Answer:  [tex]\bold{\dfrac{1}{16}x^4 + \dfrac{3}{2}x^3y + \dfrac{27}{2}x^2y^2 +54xy^3+81y^4}[/tex]

Step-by-step explanation:

                     Binomial Tree

n=0                         1

n=1                      1      1

n=2                  1    2     1

n=3               1    3    3     1

n=4            1    4    6    4    1

Using the Binomial Theorem

[tex]\bigg(\dfrac{1}{2}x+3y\bigg)^4\\\\\\=1\bigg(\dfrac{1}{2}x\bigg)^4(3y)^0\quad \rightarrow \quad \dfrac{1}{16}x^4\\\\+4\bigg(\dfrac{1}{2}x\bigg)^3(3y)^1\quad \rightarrow \quad \dfrac{3}{2}x^3y\\\\+6\bigg(\dfrac{1}{2}x\bigg)^2(3y)^2\quad \rightarrow \quad \dfrac{27}{2}x^2y^2\\\\+4\bigg(\dfrac{1}{2}x\bigg)^1(3y)^3\quad \rightarrow \quad 54xy^3\\\\+1\bigg(\dfrac{1}{2}x\bigg)^0(3y)^4\quad \rightarrow \quad 81y^4[/tex]

______________________

[tex]= \dfrac{1}{16}x^4 + \dfrac{3}{2}x^3y + \dfrac{27}{2}x^2y^2 +54xy^3+81y^4[/tex]


If x - 10 is a factor of x2 - 8x - 20, what is the other
factor?
X +

Answers

Answer:

(x + 2)

Step-by-step explanation:

When we factor the expression x² - 8x - 20, we should get (x + 2)(x - 10).

Alternatively, we can use synthetic division or long division to get our answer.

Answer:

x + 2

Step-by-step explanation:

got it right edg '22

here are the ingredients for making pineapple sorbet for 6 people. 800 g pineapple 4 egg whites 1/2 lemon 100 g caster sugar Dan makes pineapple sorbet. he uses 2 and a 1/2 lemons How many people does he make pineapple sorbet for?

Answers

Answer:

30 people

Step-by-step explanation:

If you start off with 1/2 a lemon for 6 people, then 1 whole would be 12. 1 1/2 would be 18 people and 2 whole lemons would be 24. so 2 1/2 is 30 people.

which linear inequality is represented by the graph?

Answers

Answer

y < or = 1/2x + 3

Explanation

We know when x = 0, y has to be 3 (y intercept).

Therefore y>= or <= 2x + 4 is wrong since substituting x = 0 gives y=4.

Since you need the shaded part of the graph that’s under the line you need all the y values that are smaller than and equal to the inequality.

If it was greater than or smaller to the area above the line would be shaded.

Factor x2 – 3x – 28. An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + b x + c. Identify the values that should be written to complete the X diagram. On the top: On the bottom: On the sides: Rewrite the expression using the numbers on the sides of the X diagram. Use double grouping to factor the four terms. x2 – 3x – 28 =

Answers

Answer:

(x - 7)(x + 4)

Step-by-step explanation:

Note that 4 times 7 is 28, and that -7x + 4x = -3x.

Therefore, x^2 - 3x - 28 factors into (x - 7)(x + 4)

The factors of the quadratic equation x² – 3x – 28 is (x - 7)(x + 4).

What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Writing a number or any mathematical object as the result of several factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics.

The factorization will be done as below:-

x² – 3x – 28

Split the middle term as 7 and 4.

x² – 7x  +  4x – 28 = 0

x ( x - 7 ) + 4 ( x -7 ) = 0

Take x-7 common from the whole equation.

( x - 7 ) ( x + 4 ) = 0

Therefore, the factors of the quadratic equation x² – 3x – 28 is (x - 7)(x + 4).

To know more about quadratic equations follow

https://brainly.com/question/1214333

#SPJ2

Which statement explains how the lines x+y=2 and y=x+4 are related?
(1) They are parallel.
(2) They are perpendicular.
(3) They are the same line.
4) They are not related.

Answers

Answer:

(2)They are perpendicular.

Step-by-step explanation:

Mrs. Sing invests $12,876 for her business at an annual interest rate of 7 percent for 3 years. Which number will Mrs. Sing substitute for r in the simple interest formula? I = p r t

Answers

Answer:

she wills substitute r with 7%.

Step-by-step explanation:

Just did it.

Answer:

R = 7%

Principal (P)

Rate (R)

Time (t)

Step-by-step explanation:

The full intrest rate formula is i=prt

You are looking for r

R is the interest rate 7%

So i = 12,876*7%*3years will be the full equation.

not quite sure of the answer. help me out???

Answers

Answer:

C = pi * d

Step-by-step explanation:

C = 2 * pi *r

We can replace 2 * r with d since the diameter is twice the radius

C = pi * 2*r

C = pi * d

A car travels the first 50 km of its journey at an average speed of 25 m/s and the next 120 km at an On his outward journey, Ali travelled at a speed of s km/h for 2.5 hours. On his return journey, he increased his speed by 4 km/h and saved 15 minutes. Find Ali's average speed for the whole journey. Speed of 80 km/h. The car completes the last part of its journey at an average speed of 90 km/h in 35 minutes. Find the average speed for its entire journey, giving your answer in km/h.

Answers

Answer:

The car's average speed for the entire journey = 84.315 km/h

Step-by-step explanation:

Correct Question

A car travels the first 50km of its journey at an average speed of 25m/s and the next 120 km at an average speed of 80km/h. the car completes the last part of its journey at an average speed of 90km/h in 35 minutes. Find the average speed for its entire journey, giving your answer in km/h.

Solution

Average speed is given as total distance travelled divided by total time taken.

So, we will compute the distance covered for each part of the journey and the corresponding time it takes to cover each of these distances.

- The car travels the 50 km first part of the journey at a speed of 25 m/s.

25 m/s = 90 km/h

We have the distance covered in the first part of the journey, now, we need the time taken to cover the distance.

Speed = (Distance/Time)

Time = (Distance/Speed)

Distance = 50 km, Speed = 90 km/h

Time = (50/90) = 0.5556 hr

- The next part, the car covers 120 km at a speed of 80 km/h

Time = (Distance/Speed) = (120/80) = 1.5 hr

- For the last part of the journey, the car travels with an average speed of 90 km/h for 35 minutes.

35 minutes = (35/60) hr = 0.5833 hr

Here, we need to calculate the distance covered for the last part.

Speed = (Distance/Time)

Distance = (Speed) × (Time) = 90 × 0.5833 = 52.5 km

Total distance covered = 50 + 120 + 52.5 = 222.5 km

Total time taken = 0.5556 + 1.5 + 0.5833 = 2.6389 hr

Average Speed = (222.5/2.6389) = 84.315 km/h

Hope this Helps!!!

Helppp!!!! please!!!

Answers

Answer:

A) 52.5 inches²

Step-by-step explanation:

The equation for the area of a trapezoid is a=1/2h(b1+b2). This basically means that you take the height of the trapezoid, multiply it by the top base plus the bottom base and divide that by 2. When you do this, you take 8.5 plus 6.5, which equals 15, and multiply that by 7 to get 105. After you get this, you divide it by 2 to get 52.5 inches².

3. In the polygon below, what kind of
angle is P?
A Acute
B Obtuse
C Right
D Straight

Answers

Answer:a

Step-by-step explanation:

What is the volume of the cylinder to the nearest whole number? a) 942 cm3 b) 3,534 cm3 c)471 cm3 d) 9,420 cm3

Answers

Answer:

V = 3534 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

the radius is 7.5 and the height is 20

V = pi ( 7.5)^2 * 20

V =1125 pi cm^3

Using the pi button for pi

V =3534.291735 cm^3

Rounding to the nearest whole number

V = 3534 cm^3

Answer:

b)3534 cm^3

Step-by-step explanation:

To find the area of a cylinder, you first have to find the area of the base which is in the shape of a circle. The area of a circle is given by the equation πr^2. In this case r, the radius, is 7.5 cm. So plugging in 7.5 for r you get 7.5^2 × π. Plugging in 3.1415 for π you get ~176.671. Now all you do is multiply this by the height, 20cm, and get the answer of ~3534 cm^3.

Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin of paint in his store and decides to paint the tank (not the base). If he uses 250 ml to cover 1 2 , will he have enough paint to cover the tank with one layer of paint? [take = 3.142]

Answers

Answer:

He will have enough paint to cover the tank with one layer of paint

Step-by-step explanation:

To calculate the area of the surface that has to be painted, we will have to calculate the lateral surface of the cylinder

Lateral surface of the cylinder is given by

A=2πrh

Where,

π=3.142

r=1.1/2m=

h=1.4m

A=2πrh

=2*3.142*1.1/2*1.4

=4.84m^2

He uses 250ml to cover 1m^2

To cover 4.84m^2, he will use

4.84m^2 × 250ml of paint

=1,210ml of paint is needed

He has 2 litres of paint

2litres =2000ml

Tublu has 2000ml of paint but needs 1210ml of paint

Therefore,

He has an excess of 2000-1210

=790ml

The answer is yes, he will have enough paint to cover the tank with one layer of paint.

6TH GRAD LE MATH PLEASE HELP ME

Answers

Answer: 6

Step-by-step explanation: I think..... this is a division sign, nvm... so 4 divided by 8/12 is basically 4 x 12/8 which is 48/8 simplified is/equals 6!

Answer:

6

Step-by-step explanation:

4 / 8/12 = 4 * 12/8 = 4 * 3/2 = 6

Find the difference in area between the large circle and the small circle. Click on the answer until the correct answer is showing.

Answers

A=4[tex]\pi -8[/tex]

that is your answer :-)

Answer:

[tex]A = 4\pi - 8[/tex]

Step-by-step explanation:

ody

Part 1 of 1 -
Question 2 of 50
2 Points
Solve the equation for x. x/3 -1 = -2
Copyright 2010-2020 edtell, LLC. All rights reserved. Portions of this software are copyrighted by other parties as described in the Acknov​

Answers

Answer:

x = -3

Step-by-step explanation:

When asked to solve the equation for x, it mean that put x only on one side, and everything else on the other side. So....

x/3 - 1 = -2

x/3 = -1             ( add 1 on both side)

x = -3               (x3 on both side)

Solve the equation. 12x – 14 = –2

Answers

Answer:

X=1

Step-by-step explanation:

12x-14=-2

    +14 +14

12x=12

x=1

Answer:

x = 1

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 14 to both sides:

12x - 14 = -2

12x - 14 (+14) = -2 (+14)

12x = -2 + 14

12x = 12

Next, divide 12 from both sides:

(12x)/12 = (12)/12

x = 12/12

x = 1

x = 1 is your answer.

~

How many times would you have to cross the Golden Gate Bridge in order to travel the exact distance between Wolverhampton and Birmingham?

Answers

Answer:

Hey!

Well...the distance from Birmingham to Wolverhampton in about 12 miles (19km)

The length of the Golden Gate bridge is 2,737m OR 2.737 km...in miles it's 1.701

So you will have to cross it about 11.2 times (3 sf)

Step-by-step explanation:

19 km / 1.701km = 11.16990005878895

Rounded up to a degree of accuracy = 3 sf

= 11.2

Hope this helps!

The recipe for beef stew calls for 1/4 teaspoon of pepper for every 3 potatoes. If 9 potatoes are used, how much pepper is needed? Solve the proportion StartFraction one-fourth over 3 EndFraction = StartFraction p over 9 EndFraction to answer the question. Explain your steps.

Answers

Answer:

3/4 teaspoons of pepper

Step-by-step explanation:

1/4 teaspoons : 3 potatoes = x teaspoons : 9 potatoes

(1/4)/3 = x/9

3x = 9 * 1/4

x = 3 * 1/4

x = 3/4

Answer: 3/4 teaspoons of pepper

Answer:

B

step-by-step explanation:

1/4 over 3 p/9

Let R be the relation on the set of ordered pairs of positive integers such that ((a, b), (c, d)) ∈ R if and only if ad = bc. Arrange the proof of the given statement in correct order to show that R is an equivalence relation. (Prove the given relation is reflexive first, and then symmetric and transitive.)

Answers

Answer:

The given relation R is equivalence relation.

Step-by-step explanation:

Given that:

[tex]((a, b), (c, d))\in R[/tex]

Where [tex]R[/tex] is the relation on the set of ordered pairs of positive integers.

To prove, a relation R to be equivalence relation we need to prove that the relation is reflexive, symmetric and transitive.

1. First of all, let us check reflexive property:

Reflexive property means:

[tex]\forall a \in A \Rightarrow (a,a) \in R[/tex]

Here we need to prove:

[tex]\forall (a, b) \in A \Rightarrow ((a,b), (a,b)) \in R[/tex]

As per the given relation:

[tex]((a,b), (a,b) ) \Rightarrow ab =ab[/tex] which is true.

[tex]\therefore[/tex] R is reflexive.

2. Now, let us check symmetric property:

Symmetric property means:

[tex]\forall \{a,b\} \in A\ if\ (a,b) \in R \Rightarrow (b,a) \in R[/tex]

Here we need to prove:

[tex]\forall {(a, b),(c,d)} \in A \ if\ ((a,b),(c,d)) \in R \Rightarrow ((c,d),(a,b)) \in R[/tex]

As per the given relation:

[tex]((a,b),(c,d)) \in R[/tex] means [tex]ad = bc[/tex]

[tex]((c,d),(a,b)) \in R[/tex] means [tex]cb = da\ or\ ad =bc[/tex]

Hence true.

[tex]\therefore[/tex] R is symmetric.

3. R to be transitive, we need to prove:

[tex]if ((a,b),(c,d)),((c,d),(e,f)) \in R \Rightarrow ((a,b),(e,f)) \in R[/tex]

[tex]((a,b),(c,d)) \in R[/tex] means [tex]ad = cb[/tex].... (1)

[tex]((c,d), (e,f)) \in R[/tex] means [tex]fc = ed[/tex] ...... (2)

To prove:

To be [tex]((a,b), (e,f)) \in R[/tex] we need to prove: [tex]fa = be[/tex]

Multiply (1) with (2):

[tex]adcf = bcde\\\Rightarrow fa = be[/tex]

So, R is transitive as well.

Hence proved that R is an equivalence relation.

The relation R is an equivalence if it is reflexive, symmetric and transitive.

The order to options required to show that R is an equivalence relation are;

((a, b), (a, b)) ∈ R since a·b = b·aTherefore, R is reflexiveIf ((a, b), (c, d)) ∈ R then a·d = b·c, which gives c·b = d·a, then ((c, d), (a, b)) ∈ RTherefore, R is symmetricIf ((c, d), (e, f)) ∈ R, and ((a, b), (c, d)) ∈ R therefore, c·f = d·e, and a·d = b·cMultiplying gives, a·f·c·d = b·e·c·d, which gives, a·f = b·e, then ((a, b), (e, f)) ∈RTherefore R is transitiveFrom the above proofs, the relation R is reflexive, symmetric, and transitive, therefore, R is an equivalent relation.

Reasons:

Prove that the relation R is reflexive

Reflexive property is a property is the property that a number has a value that it posses (it is equal to itself)

The given relation is ((a, b), (c, d)) ∈ R if and only if a·d = b·c

By multiplication property of equality; a·b = b·a

Therefore;

((a, b), (a, b)) ∈ R

The relation, R, is reflexive.

Prove that the relation, R, is symmetric

Given that if ((a, b), (c, d)) ∈ R then we have, a·d = b·c

Therefore, c·b = d·a implies ((c, d), (a, b)) ∈ R

((a, b), (c, d)) and ((c, d), (a, b)) are symmetric.

Therefore, the relation, R, is symmetric.

Prove that R is transitive

Symbolically, transitive property is as follows; If x = y, and y = z, then x = z

From the given relation, ((a, b), (c, d)) ∈ R, then a·d = b·c

Therefore, ((c, d), (e, f)) ∈ R, then c·f = d·e

By multiplication, a·d × c·f = b·c × d·e

a·d·c·f = b·c·d·e

Therefore;

a·f·c·d = b·e·c·d

a·f = b·e

Which gives;

((a, b), (e, f)) ∈ R, therefore, the relation, R, is transitive.

Therefore;

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Based on a similar question posted online, it is required to rank the given options in the order to show that R is an equivalence relation.

Learn more about equivalent relations here:

https://brainly.com/question/1503196

55=2.7[tex]55=2.7\sqrt{x} +14[/tex] what is the value of x

Answers

Answer:

230.59

Step-by-step explanation:

55 = 2.7sqrt(x) + 14

41 = 2.7sqrt(x)

15.185=sqrt(x)

x = 15.185^2

x=230.59

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