In the given figure ABCD is a tripepizeum with AB||CD. If AO = x-1, CO = BO = x+1 and CD = x+4. Find the value of x.

In The Given Figure ABCD Is A Tripepizeum With AB||CD. If AO = X-1, CO = BO = X+1 And CD = X+4. Find

Answers

Answer 1

[tex]\longmapsto[/tex]The value of "x" is 5.

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

A trapezium ABCD in which AB || CD such that

AO = x - 1

CO = BO = x + 1

OD = x + 4

Now,

[tex]\rm In \: \triangle \: AOB \: and \: \triangle \: COD[/tex]

[tex]\rm \: \angle \: AOB \: and \: \angle \: COD \: \: \{vertically \: opposite \: angles \}[/tex]

[tex]\rm \: \angle \:ABO \: and \: \angle \: CDO \: \: \{alternate \: interior \: angles \}[/tex]

[tex]\bf \: \triangle \: AOB \: \sim \: \triangle \: COD \: \: \: \{AA \: similarity \}[/tex]

[tex]\bf\longmapsto\:\dfrac{AO}{CO} = \dfrac{BO}{DO} [/tex]

[tex]\rm \longmapsto\:\dfrac{x - 1}{x + 1} = \dfrac{x + 1}{x + 4} [/tex]

[tex]\rm \longmapsto\:(x - 1)(x + 4) = {(x + 1)}^{2} [/tex]

[tex]\rm \longmapsto\: {x}^{2} - x + 4x - 4 = {x}^{2} + 1 + 2x[/tex]

[tex]\rm \longmapsto\: 3x - 4 = 1 + 2x[/tex]

[tex]\rm \longmapsto\: 3x - 2x= 1 +4[/tex]

[tex]\bf\longmapsto \:x = 5[/tex]


Related Questions

i need help please thanks​

Answers

Answer:

The initial value is 1

Step-by-step explanation:

The initial value is the value when t =0

When t=0 p =1

The answer is 1 hope it helps

A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week.
Which function can be used to find t, the total number of gallons of water in the tank after w weeks?

F t = 15w - 275
G t = -15w + 275
H t = 275w - 15
J t = -275w + 15

Answers

The function that can be used to find t, the total number of gallons of water in the tank after w weeks will be t = -15w + 275

The initial volume of water in the tank is 275 gallons

The amount of water in the tank decreases at a constant rate of 15 gallons per week.

t = total number of gallons water in the tank after weeks

w = number of weeks

Therefore, the following equation/theory can be establish

The initial gallon of water in the tank is 275 gallons that means we should have positive value of 275 in the equationThe gallon of water reduces by 15 gallons each week which means 15 gallons will be subtracted from the initial gallons of water each week. This means we have to find the product of -15 and w(number of weeks).

The equation will be

t = 275 - 15w

or

t = -15w + 275

Check here for more details on how to find linear equations: https://brainly.com/question/17846793?referrer=searchResults

I'm having a bit of trouble finding out how to find the Domain of this function. Help please!

Answers

In general, the domain is the set of all x-values for the graph.  

The issue here is that this isn't the graph of a function.  A function has at most one y-value for each x-value and this graph has an infinite number of y-values for the single x-value of 1.

So, either your teacher is wanting you to say the domain is {1}, because that's the only x-value used by the graph, or they're wanting you to say this is a trick question, because this isn't the graph of a function.

The range is the set of all y-values, which is -9<y<9, but again, do they intend this to be a trick question?

helpppppppppppppppppppppppppppppppppppppppppppmmmmmmmeeeeeeeeeeeeeeeeeeeeeeeeeeeemeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

It is correct because the smallest one is 3 the second one all together is 15 and the last one is 60.

Step-by-step explanation: Basically you can divide the 60 with 15 and you can divide 60 with 3.

60/15 = 4

60/3 = 20

and 4 can go in to 20 5 times so yeah.

And I hope I helped you out.

find the gcf

x^2 -4x-21

Answers

Answer:

i hated doing those

Step-by-step explanation:

The length of a rectangle is three more than twice it’s width. The perimeter of the rectangle is 246 cm. Write an equation to find the perimeter and then find the length of the rectangle.

Answers

Answer:

83 cm

Step-by-step explanation:

Let the length of the rectangle be L cm and the width be W cm.

L= 2W +3 -----(1)

Perimeter of rectangle= 2(length) +2(width)

2L +2W= 246 -----(2)

Substitute (1) into (2):

2(2W +3) +2W= 246

Expand:

4W +6 +2W= 246

Simplify:

6W +6= 246

Divide both sides by 6:

W +1= 41

W= 41 -1

W= 40

∴ width of the rectangle is 40cm.

Substitute value of W into (1):

L= 2(40).+3

L= 80 +3

L= 83

Thus, the length of the rectangle is 83 cm.

Which of the following customary units is the most appropriate unit to measure the capacity of a coffee pot?

A. gallon
B. pound
C. ounce
D. cup

Answers

Answer:

Cup

Explanation:

Gallon is too large, it'll spill over.

Pound is just... Obviously not. You use that to weight people...

And ounce is smaller than a cup but we're talking about the most appropriate unit therefore your answer is cup.

Hope that helps <3

what color is a blueberry?

Answers

Answer: blue

Step-by-step explanation: it’s blue because when you see it, you can see the color blue. Also, blue is in blueberry :). Honestly, there isn’t a main reason why, but it’s blue.

The table shows a set of values for x and y

Answers

a) Assume y = [tex]x^{2}[/tex]

[tex]1b=\frac{k}{1^{2} }[/tex] k = 1b

[tex]y=\frac{1b}{x^{2} }[/tex]

b) y = 25

[tex]x^{2}=\frac{16}{25}[/tex]

[tex]x=\sqrt{\frac{4}{5} ^{2} }[/tex]

x = ±[tex]\frac{4}{5}[/tex]

x > 0, x = 4/5

{ Equation }

y=16/x² is required equation for y in terms of x and x=4/5 when y=25.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The table of values are

x         1         2         3         4

y        16        4        16/9      1

Given that y is inversely proportional to square of x.

y=k/x²

Let us consider

y=16 and x=1

16=k/1

k=16.

y=16/x²

So y=16/x² is equation for y in terms of x

b) We need to find value of x when y=25

25=16/x²

Use cross multiplication

x²=16/25

Take square root on both sides

√x²=√16/25

x=±4/5

If x>0 , so x=4/5

Hence y=16/x² is required equation for y in terms of x and x=4/5 when y=25.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Someone help me I will mark you as brain

Answers

Answer:did u get it right

Step-by-step explanation:

I'm pretty sure that the answer to the question is 2, or D, since the slope of f(x) is 3, and the slope of g(x) is 6. Since g(x) = f(k*x), and g(x) has twice the slope. I could be wrong, but I hope this helps.

hi Help pls will mark as brainlist!!!!!!!!!​

Answers

Answer:

C

Step-by-step explanation:

38.92 x 10^4 = 3892000

Answer:

(d) is ans.

Step-by-step explanation:

brcause point will move four digit the anawer will be =389.2x10^4

Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)
Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)


Part C: Explain how the equations from Part A and Part B differ. (2 points)

Answers

Answer:

Part A 70x+50=250

Part B(75x + 35) = 250 - 5x

Step-by-step explanation:

Here to form an equation you must add all the money that she earned and subtract the money that she had to spend We dont know how many car washes she did, so we must represent it with a variable, or x.

Answer:

Step-by-step explanation:

Part A: Rhett washed 3 cars and earned $50 in tips. y=70x+50

Part B: $75 - $5 = $70 (this is the amount charged minus the amount needed to get the job done per car wash)

the +35 is the tips extra/ constant that will be added after the jobs are done.

x is the number of car washes done

y would be the profit received.

so y = 70x + 35 (profit = value of car wash * number of cars washed + tips)

PLEASE PLEASE HELP ILL MARK BRAINLIEST!!!!

Answers

Answer:

3x+5y=35

Step-by-step explanation: 3 times how many pounds of apple he gets (5)and 5 times how many pounds of oranges he gets(4) equals the amount he spends on all.(3x5=15+5x4=20=35)

Domingo earns $13 dollars per hour and worked 47.5 hours that week. He is paid
double time for all hours worked over 40 hours in one week. What is his gross pay
for the week?

Answers

Domingo earns 715$ in the week that is his gross income

someone please help me giving brainliest

Answers

Answer:

Step-by-step explanation:

What is the greatest common factor of 8m2, 4m, and 10m4?

Answers

Answer:

2m²

Step-by-step explanation:

Apply the prime factorization method: 2³m², 2 · 5m⁴

Find the greatest common divisor: 2m²

Answer: 2m²

NEED HELP ASAP!!!!!!!!!!!!!!

Answers

Answer: B

Step-by-step explanation:

Leo bought 6 glasses and 6 mugs. Leo knows that he was charged $3.99 for
each
mug
and that the total bill before tax was $65.88. Write and solve an
equation to determine how much Leo was charged for each glass

Answers

Answer:

filedownload.ashx

Ana writes test to upgrade her level. The test has 25 question for a total score of 150 points. Among the 25 questions, each multiple-choice questions carries 3 points and the descriptive type questions carries 8 points. How many multiple-choice question and descriptive types question are there in the test?




(I need answer with solution)​

Answers

Answer:

10 multiple choice

15 descriptive

Step-by-step explanation:

Trial and error

Guinea made a scale drawing of a window she is making for her house.

1 centimeter = 3 inches. Triangle A B C. Side A is 4 centimeters, side B is 3 centimeters, and side C is 5 centimeters.
Which proportion could Guinea use to find the length of side B?

Answers

Answer:

The answer is c: 1cm/3in = 3 cm/Xin

Step-by-step explanation:

Solve for x.

x ÷ 0.6 = 9.3


x = 5.58

x = 9.9

x = 8.7

x = 15.5

Answers

Answer:

x=5.58

Step-by-step explanation:

Answer: 5.58

All the other answers are wrong. You want to subtract both sides to get x alone. I used a calculator.

May I please receive help?

Answers

Step-by-step explanation:

the straight angle ;

180 - 42 = 138

The isosceles triangle ;

138 + x + x = 180

2x = 42

x = 21

pllease give me a brainliest answer

Guys pls help me!!!!!

Answers

Answer: x = 41 degrees
Y = 41 degrees


Explanation: 180-139= 41

FIND THE FACTORS OF THE FOLLOWING POLYNOMIAL 3y²-2y-1

Answers

Answer:

y

[tex] y2 - 2y - 3[/tex]

[tex](y - 1)(y + 3) [/tex]

[tex](3y - 1)(3y + 3)[/tex]

Step-by-step explanation:

you multiple the 3 with the 1

then factor

then divide by 3 again but the denominator goes in front of the y.

What number is halfway between eight and nine

Answers

8.5 is between nine and eight
Example like (1, 1.5, 2, 2.5, 3, 3.5) etc

What are two numbers whose product is 81 and their sum is -18?

Answers

Answer:

-9

Step-by-step explanation:

-9  * -9 = 81

-9 + -9 = -18

Answer: -9

Vicky is a cook at a diner. Before the diner opened, she used 12 eggs to make a large frittata that will be sold by the slice. She will also use 3 eggs whenever someone orders an omelet. If Vicky uses a total of 39 eggs by the end of the day, how many omelets must have been ordered?
Write and solve an equation to find the answer.

Answers

3x+12=39
Minors 12 on both side
3x=27
Divide 3 on both side
X=9

Find the line of best fit for the relationship between calories and fat.

y=0.0714x-9.2682
y=1.2653x+14.452
y=2.5612x+4.9045
y=1.139x-6.7093

Answers

Answer: Choice A

y=0.0714x-9.2682

==============================================

Explanation:

I used GeoGebra (free graphing software) to find the line of best fit, aka the regression line. You can do so by hand, but I think it's tedious busywork and prefer to use technology whenever possible. Other graphing and spreadsheet programs are able to compute the regression line as well.

Check out the diagram below.

The length of a 10-minute video is decreased by 45% when the video is edited. What is the length of the edited video?

Answers

Answer:

The edited video would now be 5 Minutes 50 Seconds

Step-by-step explanation:

10-4.5=5.5

To subtract any percentage from a number, simply multiply that number by the percentage you want to remain. In other words, multiply by 100 percent minus the percentage you want to subtract, in decimal form. To subtract 20 percent, multiply by 80 percent (0.8).

Step-by-step explanation:

its 5.5 mins

here are the methods

1-0.45= 0.55  0.55*10= 5.5

or

its

45/100= 0.45  0.45*10min= 4.5  10mins-4.5mins= 5.5 mins

Rachna borrowed a certain sum at the rate of 15% per annum. if she paid at the end of the two years Rs.1290 as interest Compounded annually, find the sum she borrowed.​

Answers

Given info:

Compound Interest = Rs.1290

Rate of Interest = 15% p.a

Time = 2 years

Formula we have to know:-

[tex] \dag{\underline{\boxed{\sf{C.I = P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1}}}}[/tex]

Where

C.I = Compound Interest

P = Principle

R = Rate of Interest

N = Time

[tex]\textsf{ \underline{Solution-}}\\[/tex]

Here

C.I = Rs.1290

R = 15%

N = 2 years

Principle = ?

Now,Calculating the sum (Principle) borrowed by Rachna

[tex] \quad{: \implies{\sf{C.I = \Bigg[P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1 \Bigg]}}}[/tex]

Substituting the given values

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(1 + \dfrac{15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{(1 \times 100) + 15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \times \dfrac{115}{100} \bigg) - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{13225}{10000} \bigg) - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg( \cancel{\dfrac{13225}{10000}} \bigg) - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg({1.3225 - 1} \bigg) \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = P \times {0.3225}}}}[/tex]

[tex]\quad{: \implies{\sf{\dfrac{1290}{0.3225} = P}}}[/tex]

[tex]\quad{: \implies{\sf{\dfrac{1290 \times 1000}{0.3225 \times 1000} = P}}}[/tex]

[tex]\quad{: \implies{\sf{\dfrac{12900000}{3225} = P}}}[/tex]

[tex]\quad{: \implies{\sf{\cancel{\dfrac{12900000}{3225}} = P}}}[/tex]

[tex]\quad{: \implies{\sf{Rs.4000 = P}}}[/tex]

[tex]\quad{\dag{\underline{\boxed{\tt{\blue{Principle} = \purple{Rs.4000 }}}}}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

Hence,

The sum (Principle) is Rs.4000.

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