SegmentAB≅SegmentCD. AC = 6x-12 , BC = 4, and CD = 3x-2. Find AB and CD. (Geometry Proof)

SegmentABSegmentCD. AC = 6x-12 , BC = 4, And CD = 3x-2. Find AB And CD. (Geometry Proof)

Answers

Answer 1

Answer/Step-by-step explanation:

Given:

AC = 6x - 12

BC = 4

CD = 3x - 2

Required:

Determine length of AB and CD.

SOLUTION:

AC - BC = AB

(6x - 12) - 4 = AB (Substitution)

6x - 12 - 4 = AB

6x - 16 = AB

Since AB ≅ CD, therefore,

AB = CD

6x - 16 = 3x - 2 (Substitution)

Combine like terms

6x - 3x = 16 - 2

3x = 14

Divide both sides by 3

x = 4.7

Find AB

6x - 16 = AB

Plug in the value of x

6(4.7) - 16 = AB

28.2 - 16 = AB

12.2 = AB

Find CD

CD = 3x - 2

Plug in the value of x

CD = 3(4.7) - 2

CD = 14.1 - 2

CD = 12.1


Related Questions

2. The Perimeter of a square is P. Which equation could be used to find its area (A)?
a. A = P2
b. A = (p/4)^2
c. A = 4P
d. A = (√p)^2

Answers

Answer:

A = (P/4)²

Step-by-step explanation:

Given

Perimeter = P

Required

Determine the area

First, we need to calculate the sides of the square using:

[tex]P = 4L[/tex]

Where L represents the length of the side

Make L the subject

[tex]L = \¼P[/tex]

Area is calculated as thus:

[tex]Area = L\²[/tex]

Substitute ¼P for L

[tex]Area = (\¼P)\²[/tex]

2. What is the slope of the following roof?
3 m
a. 12
b. 3
d. 1.3
075

Answers

12 or 3 sorry if I’m wrong
I believe the answer is b or a, sorry hope this helps!

plz help em with this qustion

Answers

The answer should be A

what is the square of a sum of six and a number in algebraic expression form?

Answers

Given parameters:

 Let us solve this problem step wisely;

We are looking for the square of a number

  Let the number  = x

the sum of this number and 6 is squared

              6 + x

Squaring gives;

            (6 +  x)²

The algebraic interpretation is (6 +  x)²

In problems like this, it is best to first choose a variable and then solve following sentence by sentence.

5/8 divided by 2/8 is it equal to 1 less than 1 or more than 1?

Answers

Answer:

More than 1 (2.5 is the answer)

Step-by-step explanation:

more than 1.

Step-by-step explanation:

5/8 ÷ 2/8 is 40/16. when simplified, you get 5/2. change it to decimals and you get your answer

Evaluate m + n for m - 9 and n = 7.
A 2
C 63
B 16
D 97

Answers

The answer is -2. You add 7 to negative 9.

Answer:

The only thing I can think of is -2.

Step-by-step explanation:

-9 + 7 = -2

I'm not sure if you wrote the questions or the answers wrong, but if I'm reading it right the answer should be -2, not 2. Unless you meant to write 9 + -7, in which case the answer would be 2.

Suppose a grasshopper population is decreasing at a rate of 1% ever 6 months. If the population currently consists of 120,000 grasshoppers, how many grasshoppers will there be in 1 year?

How many grasshoppers will be there in 10 years?

Answers

Answer: There will be 117600 grasshoppers in one year and in ten years there will be 96000 grasshoppers.

Step-by-step explanation:

3/2 divided by 1 1/2

Answers

Answer:

1

Step-by-step explanation:

Hope this helps! <3

( Pic Below )

Hello! Thank you for asking your question!

Have more? Just ask!

Answer:

1

Step-by-step explanation:

1 1/2 as an improper fraction would be 3/2, so 3/2 divided by 3/2 equals 1.

Hope this helps!

Rental car company A charges an initial fee of $35 plus $0.75 per mile. Rental car company B charges $0.50 per mile and an initial fee of $55. For what number of miles will the cost of both rental car companies be the same? True or False: 35 + 0.75x ≥ 0.5x + 55 be used to solve the real-world problem. If false, explain in detail what needs to be changed in the real-world problem so 35 + 0.75x ≥ 0.5x + 55 can be used to solve it.

Answers

Answer:

Let it be for x miles.

40+15+0.25x=45+0.35x

10 =0.1x

x=100

The mile is 45+0.35*100= 80 or 40+15+0.25*100 =80

Step-by-step explanation:

Answer:

x=100

Step-by-step explanation:

Velocity can only be described by including both
A.mass and direction of the object in motion.
B.mass and volume of the object in motion.
C.speed and direction of the object in motion.
D.speed and volume of the object in motion.
PLZ help me

Answers

Answer:

speed and direction of the object in motion


What is the answer

Answers

Answer:

V = IR12 volts

Step-by-step explanation:

Starting with ...

  I = V/R

Multiply by R to find V:

  IR = V

The equation is ...

  V = I·R

__

Using the given values for I and R, we have ...

  V = (2)(6)

  V = 12 . . . required voltage (volts)

Colby stated that there is no solution to the equation 4( − 8) = 4 − 8. Do you agree or disagree? Explain your reasoning. GET BRAINLYY

Answers

Answer:

( ) first -8 x 4 =-32 so diagree

Answser

Disagree

Step-by-step explanation:

With the parentheses it means you multiply 4 x -8. so this means the 4-8 would not equal 4 x -8

What is the solution of

Answers

the answer is:

x=12

reason:
if you plug in 12. you get them equal to each other
The solution of 5/2x - 7 = 3/4x + 14 is 12.

A box of pancake mix containing 2 1/4 pounds costs $3.60. What is the cost per pound?

Answers

Answer:

$1.60

Step-by-step explanation:

$3.60 divided by 2 1/4 is $1.60

Robert took a math test and got 36 correct and 14 incorrect answers. What was the percentage of correct answers?

Answers

Answer:

Step-by-step explanation:

The percentage is 72% mate. Hope that helps.

Answer:

72%

Step-by-step explanation:

Pls brainly I need it plus I spent a lotta time just to solve this question.

Please include work!

Answers

Answer:

y=-80x + 155=10x²,x er

y=40x - 85 - 5x², x er

3 - 6а = 9 - ба
i need help :( !

Answers

Answer:

no solution

Step-by-step explanation:

3 - 6а = 9 - ба

Add 6a to each side

3 - 6а+6a = 9 - ба+6a

3 = 9

This is never true so there is no solution

1. y = |x|
Vertex
Domain
Range

Answers

Answer:

Vertex: (0.0)

Domain: (Negative infinity, Positive infinity)

Range: (0, infinity)

Find the slope of the line containing the pair points (9,5) (6,4)

Answers

Answer:

y=1/3x+2

Step-by-step explanation:

which one is it for the answer

Answers

10*10*10*10*10*7867 equal 786700100

It is number one it is also really easy

-2x + 5 = 10

Anyone know this? I need it quick

Answers

Answer: x = -2.5

Step-by-step explanation:

Subtract 5 on each side to get -2x = 5

then divide both sides by -2 to get x = -2.5.

Solve for x
-2x=10-5
Calculate
-2x=5
Divide
X=-(5/2)

Answer -(5/2) or -2 1/2 or -2.5

Please help!!! I really don’t get this only I get where the 3 are but please help me for the 4/5 and -0.4!

Answers

Answer:

-0.4 should be in between 0 and -0.5, however be as close to -0.5 as possible while not being ON -0.5.

3 4/5 should be in between 3 and 4, so you can split 4/5 into 8/10 which are equal to each other. Then you can pretend to split the 3 and 4 gap into 10 equal pieces. After you split the gap, count 8 parts to the left of 3.

Step-by-step explanation:

I hope you understand what I mean.

Compare

[tex] \sqrt{7} \: and \: 1.2[/tex]
[tex] = \: or \: < \: or \: > [/tex]


Answers

The root of 7=2.6 so that means 7>1.2

help please!!!! LOLLL

Answers

Answer:u

Step-by-step explanation:

Answer:

there is no pic

or i just cant see it

Step-by-step explanation:

351 chairs in 27 rows

Answers

Answer:13

Step-by-step explanation:

Answer:

9477

Step-by-step explanation:

if u multiply them

Find the distance between the points (2,0) and (-4,6)

Answers

Answer:

let's see what to do buddy...

Step-by-step explanation:

We have this equation to find the distance between two points :

a = ( 2 , 0 ) and b = ( -4 , 6 )

[tex]distance = \sqrt{ {( \: y(b) - y(a) \: })^{2} + ( \: {x(b) - x(a)} \: )^{2} } \\ [/tex]

Now just need to put the coordinates in the equation :

[tex]distance = \sqrt{ ({6 - 0})^{2} + ({ - 4 - 2})^{2} } \\ distance = \sqrt{ {6}^{2} + ({ - 6})^{2} } = \sqrt{36 + 36} \\ distance = \sqrt{36 \times 2} = 6 \sqrt{2} [/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Write an equivalent expression in standard form for
(5x-4y)(7x2-12x+27).

Answers

Answer:

[tex]10x^{2} +135x-8xy-108y[/tex]

Step-by-step explanation:

Use the distributive property, remove the parentheses, and collect the terms.

Which represents an even function?

A. y = cos(x)

B. y = sin(x)

C. y = tan(x)

D. y = cot(x)

NVM I DID IT

ANSWER: A

Answers

Answer:

A. y=cos(x)

Step-by-step explanation:

I just want the points. im taking the quiz rn.

From the given options, the only even function is the cosine function, so the correct option is A.

Which of the options is an even function?

First, an even function is a function with the property:

f(x) = f(-x)

So these functions are symmetrical across the y-axis.

Is ratter easy to remember that the sin function is actually odd, this means that:

sin(-x) = -sin(x).

Then the tangent function (and the cotangent function) are also odd, because:

tan(x) = sin(x)/cos(x).

In the other hand, for the cosine function we have:

cos(-x) = cos(x)

And as shown in the graph below, it is symmetrical across the y-axis.

Then we conclude that the correct option is A.

If you want to learn more about even functions:

https://brainly.com/question/2284364

#SPJ2

what is the first step when solving two step equations​

Answers

Simplify using inverse of operation of addition or subtraction and inverse operation of diversion

Pls help ASAP! I’ll give BRAINLIEST and 5 star rating if correct!! 20 pts?

Answers

Answer:

The correct answer is 2. I hope this helps!

Step-by-step explanation:

I am almost 100% sure that this is the answer.

Answer:

2

Step-by-step explanation:

Other Questions
Pls help!!!!! PS:its not 50,20,10,30,60,90,180,5,2, or 11 Find BD ( I need to find this answer quick ) What is the role of the Bible for Luther? For the Catholic Church I need an answer plsss :(!!! this list shows the height in feet of 30 tallest mountain in the United States what is the meaning of the mountain data a-14,500 ftb-14,515 ftc-14,530 ftd-14,573 ft A worde that place before a naweor pronden in a sentence 10Which two responses describe how Gaiman creates humor by setting his fantasy story inan ordinary modern setting?F. The author makes Mrs. Whitaker seem to be an integral part of the setting.GMrs. Whitaker never acknowledges that there is anything extraordinary happening.H The author allows Galaad and Mrs. Whitaker to be true to their natures.J No one in the setting finds Galaad and his horse to be remarkable.K All the treasures Galaad brings to Mrs. Whitaker are from various legends. Who claimed the territory represented by the GOLD color? a.Spainb.Francec.Great Britaind.Native AmericansPlease select the best answer from the choices providedABCD Elaine has 2 times as many stickers on her notebook as Maryam. Together, they have 15 stickers. How many stickers are on Elaines notebook? Question 15 (1 point)If (-3,1) is in the function f(x), then which of the followingpoints will be in the function f-'(x)?(1, -3)(3,-1)(-1,3)(-1,-3) Which of the following is accurate about the Hanging Gardens?It was created in order to produce more crops.It was created for Nebuchadnezzars wife.The garden was maintained by Nebuchadnezzars wife.The plants in the garden hung upside-down from the roof. what is the domain of this functiony= sqrt of x What is an equation of the line that passes through the points (-6, -4) and (3, 8) the main muscle of the upper back is Help please! Whats is the water doing, is it a process or resevoir. which term refers to how hard a person works out a. time b. typec. frequencyd. intensity Who were the first Europeans to travel through present-day Louisiana? O FrenchO BritishO Portuguese O Spanish In which of these ways was petroleum not used when the petroleum industry first came to the Indian Territory in the late1800s?A. to burn as a light sourceB. to lubricate axles and wheelsC. to power steam enginesD. to create medicinal products Which phenotype matches each of these genotypes? ii: IAIB: IBi: IAi: A company constructs a building for its own use. Construction began on January 1 and ended on December 30. The expenditures for construction were as follows: January 1, $530,000; March 31, $630,000; June 30, $430,000; October 30, $690,000. To help finance construction, the company arranged a 10% construction loan on January 1 for $760,000. The companys other borrowings, outstanding for the whole year, consisted of a $4 million loan and a $6 million note with interest rates of 13% and 6%, respectively.Required:Assuming the company uses the specific interest method, calculate the amount of interest capitalized for the year.