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

Alexis is selling team cards for her volleyball fundraiser. She expects to sell 4 cards for every 5 houses that she visits. If she wants to sell 20 cards total, how many houses should she expect to visit?

Answers

Answer:

5 houses

Step-by-step explanation:

She needs to visit 5 houses as 20 divided by 4 is 5

#6.
In the diagram below ABC~DEF, DE=4, AB=x AC=x+2 and DF= x+6
Determine the length if AB
Please help me with this one!

Answers

Answer:

x = 2

Step-by-step explanation:

Since the triangles are similar then corresponding sides are in proportion, that is

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values

[tex]\frac{7x}{7}[/tex] = [tex]\frac{4}{x}[/tex] ( cross- multiply )

7x² = 28 ( divide both sides by 7 )

x² = 4 ( take square root of both sides )

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

what is the value of x for 10x+1=3(4x+2)-3? ​

Answers

Answer:

x= 7

Step-by-step explanation:

Answer:-1

Step-by-step explanation:

10x+1=3(4x+2)-3

10x+1=12x+6-3

10x+1=12x+3

1=2x+3

-2=2x

1=x

can you PLEASE tell me the answer

Answers

Answer:

A

Step-by-step explanation:

Hope it helps!

Answer:

B

Step-by-step explanation:

corresponding sides of similar triangles are same ratio

[tex]\dfrac{JK}{UT}=\dfrac{KL}{TS}\\\\\dfrac{x}{20}=\dfrac{8}{16}\\\\x=\dfrac{8}{16}*20\\\\x=10[/tex]

[tex]\sf 2x+7+8x=35[/tex]

Answers

Answer:

x=14/5

Step-by-step explanation:

Group like terms

2x+8x+7=35

Add similar elements: 2x+8x=10x

10x+7=35

Subtract 7 from both sides:

10x+7−7=35−7

Simplify

10x=28

Divide both sides by 10

10x/10 =28/10

Simplify:

x=14/5

Answer:

[tex]2x+7+8x=35[/tex]

[tex]2x+8x+7=35[/tex]

[tex]10x+7-7=35-7[/tex]

[tex]10x=28[/tex]

[tex]\cfrac{10x}{10}=\cfrac{28}{10}[/tex]

[tex]x=\cfrac{14}{5}[/tex]

or

[tex]x=2.8[/tex]

What is the product (−4)(7)(−2)

Answers

Answer:

98

Step-by-step explanation:

1. (-4)(-2) equals 14 beacuse when you muiltpy two negatives yiui get a postive.

2. 14(7) equals 98

Linear vs non linear functions

I’m completely confused on how to do linear vs non linear functions. Does anyone have step by step on how to do them?

Answers

Answer:

A linear function has a constant rate of change. A nonlinear function does not

Also, Lnear functions show a straight line when they are graphed and nonlinear functions don't.

My advice is to graph it and look at the points.

Good luck! Pls give brainliest!

Answer:

See Picture & I hope this helps!:)

Step-by-step explanation:

what is 20.1000÷300000​

Answers

Answer:

0.000067

or

6.7*10^-5

Step-by-step explanation:

brainliest plz

4×____×1=12 ?=____. please help me solve this question​

Answers

Answer:

4 x 3 x 1 = 12

12 = 12

Step-by-step explanation:

I used a calculator, pls let me know if im incorrect

True or False
An example of an annual expense would be electricity because you receive a bill each month.

Answers

Answer:

True

Step-by-step explanation:

helppppppppppppppppppppppppppppppppppp

Answers

Answer:

24 kilograms of catfish

Step-by-step explanation:

Take the percentage of catfish as a decimal or fraction and multiply it by the total amount of fish caught. The percent of catfish is 40% which is the same thing as 0.4. Multiply that by the total 60 kg of fish to get 24 kg of catfish.

WHAT IS THE MEASURE OF ANGLE A

WHAT IS THE MEASURE OF ANGLE B

WHAT IS THE MEASURE OF ANGLE C

Answers

Answer:

∠A = 100

∠B = 50

∠C = 30

Step-by-step explanation:

Sum of all angles of triangle = 180

∠A + ∠B + ∠C = 180

2x +x + x - 20 = 180  {Combine like terms}

4x - 20 = 180      

Add 20 to both sides

4x = 180 + 20

4x = 200

Divide  both sides by 4

x = 200/4

x = 50

∠A = 2x = 2*50 = 100

∠B = x = 50

∠C = x - 20 = 50 - 20 = 30

What is the slope of the line on the graph?




Enter your answer in the box.

No links Nothing unrelated

Answers

Answer:

6

Step-by-step explanation:

(y1-y2)/(x1-x2) = (-1-5)/(0-1) = -6/-1 = 6

The mean of 3 numbers is 10. 2 of the numbers are 7 and 4. Find the 3 number

Answers

Answer:

The Third number is 19

Step-by-step explanation:

7 + 2 = 11 then add 19=

11 + 19 = 30 After divide by three because there are 3 numbers

30.6 ÷ 3 = 10

Remember: To find the mean you add all the numbers together and divide by how many numbers are there.

For example: you have 2, 5, 8 you add them together which is 15. There are 3 numbers so you divide 15 by 3 which is 5.

Can someone please help me with this question.

Thank you.​

Answers

Answer:

okay so..

Given

<2 = 110°

• <2 = <4 so <4 = 110°

Step-by-step explanation:

Solution

• <4 is equal with it's front facing angle(the angle next to <1) let's call that angle <x

<4 = <x = 110°

<x + <1 = 180°

110° + <1 = 180°

<1 = 180° - 110°

<1 = 70°

• <4 + <3 = 180°

110° + <3 = 180°

<3 = 180° - 110°

<3 = 70°

2x+10=12
so x=??
[tex]\huge \dag \sf{Help \: me}[/tex]​​

Answers

Answer:

[tex]\sf\longmapsto\sf\boxed {x = 1}[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: 2x + 10 = 12[/tex]

[tex]\sf\longmapsto \: \: 2x + 10 - 10 = 12 - 10[/tex]

[tex]\sf\longmapsto \: 2x = 2[/tex]

[tex]\sf\longmapsto \: \frac{2x}{2} = \frac{2}{2} [/tex]

[tex]\sf\longmapsto \: x = 1[/tex]

Answer:

[tex]\boxed {\sf x=1}[/tex]

Step-by-step explanation:

[tex]\sf 2x+10=12[/tex]

[tex]\boxed{\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}}[/tex]

[tex]\sf 2x+10-10=12-10[/tex][tex]\sf 2x=2[/tex]

[tex]\boxed{\mathrm{Divide\:both\:sides\:by\:}2}[/tex]

[tex]\sf \cfrac{2x}{2}=\cfrac{2}{2}[/tex][tex]\sf x=1[/tex]

[tex]\boxed{\sf Hope\: it\:helps!}[/tex]

The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F=ma where m is the object’s mass. If a 12-Newton force causes the object to accelerate to 3 m/s2, what is that object’s mass? The unit for this mass is kg.

Answers

Answer:

F=36

Step-by-step explanation:

F= 12 times 9 divided 3 = 36

The question requires calculating the objects mass in kilogram (kg)

The mass in kg of the objects is 4 kg

Given:

F = ma

Where,

F = Force (N)

M = mass (kg)

a = acceleration (m/s²)

If

F = 12-Newton

m = 3 m/s²

a = ?

F = ma

12 = m × 3

12 = 3m

divide both sides by 3

m = 12/3

m = 4 kg

Therefore, the mass in kg of the objects is 4 kg

Read more:

https://brainly.com/question/25250873

Consider the system of equations.

y=3x−2−7x−2y=−9
Solve the system of equations algebraically.

Answers

Answer:

(x, y) = (-5/13, -41/13)

Step-by-step explanation: (Assuming the following corrections:)

y = 3x-2

-7x-2y = 9

-7x-2(3x-2) = 9

-7x-6x+4 = 9

-13x = 5

x = -5/13

y = -5/13(3) - 2

y = -15/13 - 2 = -41/13

I need help on the one about slope

Answers

I think it is -5
If you divide -1/2 and then 4/1 you will get -5/1 or also known as -5

Earlier, you were told about a toy rocket fired into the air from the top of a barn. Its height (h) above the
ground in yards after a seconds is given by the function:
h(x) = -52% + 100 + 20
What was the maximum height of the rocket?
Solution
The maximum height was reached by the rocket at one second as you found in part b from the previous
example. It takes second to reach the maximum height. We will substitute that value in for x in our
function and simplify.
The maximum height reached by the rocket was 25 yards. What is the time it takes for the rocket to hit
the ground? (Use a graph or any other method to solve.)
It takes approximately 3.2 seconds for the rocket to hit the ground. (Round to the nearest tenth.)

Answers

Using quadratic function concepts, it is found that:

It takes 1 second to reach maximum height.The maximum height is of 25 yards.It takes approximately 3.2 seconds for the rocket to hit the ground.

The height of the rocket after x seconds is given by:

[tex]h(x) = -5x^2 + 10x + 20[/tex]

Which is a quadratic function with coefficients [tex]a = -5, b = 10, c = 20[/tex].

The maximum height will be a reached at a time of [tex]x_v[/tex], and will be of [tex]y_v[/tex], considering the vertex given by:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{\Delta}{4a}[/tex]

[tex]\Delta = b^2 - 4ac[/tex]

Then:

[tex]x_v = -\frac{10}{2(-5)} = 1[/tex]

[tex]\Delta = 10^2 - 4(-5)(20) = 500[/tex]

[tex]y_v = -\frac{500}{4(-5)} = 25[/tex]

Thus:

It takes 1 second to reach maximum height.The maximum height is of 25 yards.

It hits the ground when [tex]h(x) = 0[/tex], thus:

[tex]-5x^2 + 10x + 20 = 0[/tex]

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-10 + \sqrt{500}}{2(-5)} = -1.2[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-10 - \sqrt{500}}{2(-5)} = -3.2[/tex]

We want the positive root, so, it takes approximately 3.2 seconds for the rocket to hit the ground.

A similar problem is given at https://brainly.com/question/24705734

What are unit rates, and how are they used?

Answers

unit rate is a special type of ratio (also called a single-unit rate). It will compare 1 unit of some quantity to a different number of units of a different quantity. Unit rates are often used in real life situations, like when you need to convert between measurement systems.

hope it helps

Answer:

A unit rate means a rate for one of something

they are and can be used as speed limits or signs for someone to do something. like go and stop

Step-by-step explanation:

Employees hourly rate work is $2.90.each employee works for 8 hours a day. What would be the daily income of the employee

Answers

Answer:

$23.20

Step-by-step explanation:

1 hour of work = $2.90

8 x 2.90 = 23.20

8 hours of work will get an employee $23.20

If they worked 8 hours daily in a week:

7 x 23.20 = 162.40

Working 8 hours every day in a week will get them $162.4

Use either direct or synthetic substitution to evaluate the following:
f(x)=2x2-3x2+2x-5 for f(3).

Answers

The answer for that question is -22

How do you do this question?

Answers

You just need to add:)

Answer:

The answer I think, might be or possibly is A 20 aq ft. Bcuz, if you use the 1:4 scale, you'll get like for an example, 20:80..So, 5:? must be 5:20..get what I mean??? it's kinda tuff for me to explain since English is not my first language but thereee you go XD

help please, im confused​

Answers

You can use substitution
Since x = 1/2y + 5
You can plug that in second equation
2(1/2y + 5) + 3y = -14
y + 10 + 3y = -14
4y = -24, y = -6
Plug into first equation
x = 1/2(-6) + 5 = 2
Solution: (2, -6)

Step-by-step explanation:

x=½y+5. ......i

2x+3y=-14. .....ii

putting the value of x in equation ii.

2(½y+5)+3y=-14

y+10+3y=-14

4y=-24

y=-6

Now, putting the value of y in first equation.

x=½y+5

x=(½×-6)+5

x=-3+5

x=2.

therefore, the value of x=2 and y=-6.

So, option D is correct answer.

hope this helps you.

Given the following functions, find the indicated values,
f(x)= 1 - 5x
(a) f(-4) (b) f(0) (C) f(5)
(a) f( – 4)=0

Answers

Answer:

Riley restoration rotators

Transpose for = + working out too ​

Answers

Answer:Music in a major key can be transposed to any other major key; music in a minor key can be transposed to any other minor key. (Changing a piece from minor to major or vice-versa requires many more changes than simple transposition.) A piece will also sound higher or lower once it is transposed.

Step-by-step explanation:

why is -2/4 bigger than -7/12​

Answers

Answer:

-2/4 can be written as -6/12

in negetive integers:: if the numerical vallues goes on increasing then the numbers are in decreasing order

so, -6/12 > -7/12

but 6/12 < 7/12

hope you understood

brainliest plz

Answer:

Step-by-step explanation:

To compare both fractions should have same denominator.

LCM of 4 and 12  is 12

[tex]\dfrac{-2}{4}=\dfrac{-2*3}{4*12}=\dfrac{-6}{12}[/tex]

[tex]\dfrac{-6}{12} \ is \ bigger \ than \ \dfrac{-7}{12}\\\\\dfrac{-2}{4} \ is \ bigger \ than \ \dfrac{-7}{12}\\\\[/tex]

James drove to his brother’s house, which was 225 miles away. It took him 3 hours to get there. What was his average speed per hour

75

55

85

62.5

Answers

Answer:

75

225÷3=75

Step-by-step explanation:

hshshshshs

Answer:

75

Step-by-step explanation:

I need help with my Algebra 1 ugh plz help! Sorry there’s a typo

Answers

Answer:

x + 8 > 11

dot at 11 going to the right.

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