A, B and C lie on a straight line segment.A, E and D lie on a straight line segment.BE = 1.8m, CD = 9m and BC = 1.7m.Work out the length of AB.Write your answer to two decimal places.

Answers

Answer 1

The relationship between the points is an illustration of similar shapes.

The length of AB is 0.43

The given parameters are:

[tex]\mathbf{BE = 1.8}[/tex]

[tex]\mathbf{CD = 9}[/tex]

[tex]\mathbf{BC = 1.7}[/tex]

From the question (see attachment), we have the following observations:

BE corresponds to CDAB corresponds to AC

So, the equivalent ratio is:

[tex]\mathbf{AB:BE =AC:CD }[/tex]

Substitute known values

[tex]\mathbf{AB:1.8 =AC:9 }[/tex]

Express as fractions

[tex]\mathbf{\frac{AB}{1.8} =\frac{AC}{9} }[/tex]

Multiply both sides by 1.8

[tex]\mathbf{AB =\frac{AC}{5} }[/tex]

AC = AB + BC

So, we have:

[tex]\mathbf{AB =\frac{AB + BC}{5} }[/tex]

Substitute 1.7 for BC

[tex]\mathbf{AB =\frac{AB + 1.7}{5} }[/tex]

Multiply through by 5

[tex]\mathbf{5AB =AB + 1.7}[/tex]

Collect like terms

[tex]\mathbf{5AB -AB =1.7}[/tex]

[tex]\mathbf{4AB =1.7}[/tex]

Divide both sides by 4

[tex]\mathbf{AB=0.425}[/tex]

Approximate

[tex]\mathbf{AB=0.43}[/tex]

Hence, the length of AB is 0.43

Read more about similar shapes at:

https://brainly.com/question/20536565

A, B And C Lie On A Straight Line Segment.A, E And D Lie On A Straight Line Segment.BE = 1.8m, CD = 9m

Related Questions

A shipping box is 12 inches by 18 inches by 16 inches the shipping box will be filled with smaller boxes each boxes each smaller box is 3 inches by 2 inches by 4 inches

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The number of small boxes that will fill the truck will be 144 boxes

The formula for calculating rectangular box is expressed as:

V = LWH

L is the length

W is the width

H is the height

For the large box

Volume = 12 * 18 * 16

Volume = 3,456 cubic inches

For the small box:

Volume of the small box = 3 * 2 * 4

Volume of the small box = 24 cubic inches

Number of small boxes that will fill the truck = 3456/24

Number of small boxes that will fill the truck = 144

Hence the number of small boxes that will fill the truck will be 144 boxes

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gehehehehhehegeheheklelehe​

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Answer:

A

Step-by-step explanation:

1. Sam was driving to visit his friend in Texas. He will have to drive 550 miles to get to his friends home.

Sam drives 65 miles per hour and has already driven 325 miles. Write an equation to find how much

longer in hours Sam will need to drive to reach his destination.

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Answer: 65x + 325y = 550

Sofia received a payment of $ 145 to take care of her neighbor Carmen's dogs for 5 days. Every day, the neighbor Carmen was paying him 6 dollars more than the day before. How much money did Sofia earn on the third day of work?
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Answer:

you betrayed me and i know that youll never feel srry

Step-by-step explanation:

what is 5 * 4 + 6 - 5 * 5 * 7 / 8 * 6 - 8 + 2

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The answer is -445/4 in improper fraction form, -111 1/4 as a mixed fraction, and -111.25 in decimal form.

Answer:

-111.25

Step-by-step explanation:

1.Прочитать первое действие комедии. Каковы экспозиция и завязка комедии? 2.Пронанализировать диалоги Чацкого и Софьи: поведение героев, их отношение друг к другу, характер высказываний.
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21,473,862,095 in word from

4g+4=2g+12 I need to find what g would equal to

Answers

Answer:

2

Step-by-step explanation:

4g+4=2g+12

or , 4g-2g=12-4

or , 2g = 8

or, g=8/2

g= 2

Answer for brainly please and fast

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Answer:

s = 48

Step-by-step explanation:

2x/2 = 90/2 pls solve it it

Answers

Answer:

x=45

Step-by-step explanation:

2(45)=90

90/2=90/2

Please explain how you do it

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Answer:

3^3+(4^3-7^2+3)/3^2

3^3+(64-49+3)/3^2

3^3+(15+3)/3^2

3^3+(18)/3^2

45/3^2

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5

Step-by-step explanation:

A pair of skate blades costs
$189.00. A pair of skate boots
costs 4 times that much. How
much are the skates and blades
all together?


Answers

Answer: $945.00

This is because 4 times the amount of $189 is $756, and $189 + $756 = $945.00

If you scale up the ratio on the left, what will you get for the unknown quantity on the right? $155 $465

-------- = --------------

20 hours ?


A. 10 HOURS

B. 40 HOURS

C. 60 HOURS

D. 100 HOURS

Answers

Answer:

60 minute equals to 1 hour

2⁴+(2.75+1.75)÷0.9 fast pls helppppp

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Answer:

21

Step-by-step explanation:

First, add the parenthesis

2^4 + 4.50 ÷ 0.9

Second, divide 4.50 by 0.9

2^4 + 5

Third, get rid of the ^4

(2x2x2x2)

16 + 5

21

The ratio of boys to girls in math class is 3 to 5 if there are 9 boys how many girls are there

Answers

Answer:

15

Step-by-step explanation:

for every three boys there are five girls

3 groups of 3 boys

3*5=15 girls

Evaluate the expression for the given values of the variables.

5p + 3q for p = 2 and q = −8

When p = 2 and q = −8, the expression is equal to...

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Answer:

[tex] \hookrightarrow \: { \rm{5p + 3q}}[/tex]

p is 2q is -8

[tex] = { \tt{5(2) + 3( - 8)}} \\ \\ = { \tt{10 - 24}} \\ \\ = { \underline{ \underline{ \tt{ \: \: - 14 \: \: }}}}[/tex]

A smartphone costs $140. Sales tax is 4%. What is the total cost, including tax?

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Answer:

145.60

Step-by-step explanation:

What is the equation of the line that passes through the point (-6, -5) and has a slope of -3/2?

Answers

Answer:

y=3/2x+3/2

Step-by-step explanation:

point at (-6,-5)

slope = m = 3/2

y = mx+b

(-6)=(3/2)(-5)+b >>> substituting x & y to solve for b

-6 = (-15/2)+b >>> simplify previous equation

-6 + (15/2) = b >>> isolate and solve for m

3/2 = b

therefore, the equation of the line passing through the point (-6,-5) with a slope of 3/2 is y=(3/2)x+(3/2)

Please help me! Please!

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They are all positive

I think the correlation is negative because the graph is going down.

Hope this helps

What is 2 1/2 divided by 2 2/3

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Answer:

15/16

Decimal form 0.9375

Step-by-step explanation:

2 1/2 divided by 2 2/3 = 0.9375

Please help

Given: P(1, 3)P(1,3)

and

Q(3,7)Q(3,7)

What is the slope of PQPQJ

Answers

Answer:

Slope = 2

Step-by-step explanation:

(1,3) and (3,7)

m = (7-3)/3-1)

= 4/2

= 2

what time is it in florida im to lazy to look at watch

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Right now it would be 9:44am

What is 1 minus 1 divided by 5

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Answer:

0.8

Step-by-step explanation:

Remember PEMDAS

1-1:5=

1-0.2=

0.8

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Answer:

D

Step-by-step explanation:

Please mark brainliest

Pls help me fast!!!!!!!!!!!!

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x=0 I think not 100% sure though

Answer: The equation has infinitely many solutions.

Step-by-step explanation:

With George's end result of 3=3, you can assume that the equation is set up in such a way that no matter what you plug in, you will get the same number on both sides of the equals sign, which means the solution is valid. Therefore this means that there are an infinite number of solutions.

Plz help it’s due tonight!!!

Answers

b b b b b b b b b b b b b

3 4. What is the slope of the line that passes through (-2, 1) and (8,5)? ​

Answers

Answer: 2/5

Explanation: Ask if you want an explanation!

Answer:    slope = ²/₅

Step-by-step explanation:      

      The question gives us two points, (-2, 1) and (8,5), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  (5 - 1) ÷ (8 - (-2))    

                                          =   ⁴/₁₀

                                          = ²/₅  

Checking my answer:

We can check to see if the answer is correct by drawing the line and seeing if it passes through both points. If it does, then the slope is correct.

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                ⇒  y - 1 =  ²/₅ (x + 2)

                                       

In the graph below (created using Desmos), the line passes through both points. This suggests that we calculated the slope correctly.

This Assignment is bloody confusing. PLEASE HELP

Answers

Step-by-step explanation:

A = Future value of the amount invested

P = principal (amount of money invested) = $9,200

i  = interest rate =  6% or 0.06

n = number of compounding periods (it is the number of times the interest is compounded).

For the Interest Rate per Compounding Period column, you'll have to divide the interest rate by its corresponding compounding period (please see the definitions of each compounding periods below). For example, the interest rate per compounding period (compounded annually) = interest rate ÷ number of compounding periods ( [tex]\frac{i}{n}[/tex] ) = 0.06/1 = 0.06 or 6%

For the Number of Compounding Periods column, you'll have to multiply (t ) by the number of compounding periods (n):

t × n =  15 years × 1  =  15

The Compound Interest Formula column is pretty self-explanatory--you'll just have to follow the given formula. You need to make sure that you change the values for i and n  for every row.

Compounding periods (n):

compounding annually: n = 1  

compounding semiannually: n = 2

compounding quarterly: n = 4

compounding monthly: n = 12

compounding weekly: n = 52

compounding daily: n = 365

You'll have to use these values into your Compound Interest formula.

I will do the 2nd row (semi-annually) for you as a guide, but you'll have to do the rest so that you could familiarize yourself on how to do it.

Interest Rate per Compounding Period  = i / n = 0.06/2 = 0.03 or 3%

Number of Compounding Periods = t × n =  15 years × 2 = 30

Compound Interest Formula:  [tex]A = 9,200(1 + 0.03)^{30}[/tex]

Final Amount  = 22,330.81

For any of you coding experts. I'm just beginning to take coding seriously and I want to know which coding language is the easiest for beginners. Any tips?​

Answers

Answer:

binary codenis the easiest bro it's just 1 and 0 right?

I believe HTML & MySQL are the easiest coding languages for beginners. If you are a starter you might prefer to take HTML which is comparatively really easy & understandable as well. HTML allows you to create webpages in no time with simple coding & there's no use of binary digits. Moving onto MySQL..this is also easy but it's advanced when compared to HTML. But, the work is more neat & good if you program it through SQL. After mastering both of them you can go for Python / Java, which are hard but it should be ok if you studied the first 2 languages. There's Xojo as well, lesser known but still good.

Sarah has a credit card balance of $9,450 with an APR of 17%. With her current budgeted payment, Sarah will be able to pay off this debt in 36 months. But Sarah’s best friend just invited her to spend two months in Europe with her in 9 months. Wanting to have her credit card balance paid off before she goes to Europe, Sarah decides to take on a second job. What additional monthly income will Sarah need in order to pay off her credit card in 9 months?
a.
$336.92
b.
$467.23
c.
$788.85
d.
$1125.77

Answers

Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Using the information given,

We can find the current monthly payment Sarah is making using the formula for the present value of an annuity:

[tex]PMT = PV \times r \times (1 + r)^n / [(1 + r)^{n - 1}][/tex]

where PV is the present value (balance), r is the monthly interest rate (APR/12), and n is the number of months (36).

PMT.

[tex]= 9450 \times 0.17/12 \times (1 + 0.17/12)^{36} / [(1 + 0.17/12)^{36} - 1][/tex]

= $338.48

To pay off the balance in 9 months, Sarah needs to increase her monthly payment.

Let's call this additional payment x.

Then, we have:

[tex]9450 \times 1.17^{9/12} = (338.48 + x) \times ((1 + 0.17/12)^{9 - 1}) / (0.17/12)\\[/tex]

Solving for x, we get:

x = $1125.77

Therefore,

Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.

Learn more about expressions here:

https://brainly.com/question/3118662

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Ronald can type 126 words in 3 minutes. At this rate, how many words can he type in 15 minutes?
OA.
126
ОВ.
1,890
OC.
15
OD
630

Answers

Well you do 15x3 to get 43 now do 126x 43 to get 5,418 The answer is :5,418 Your welcome come btw u sus 0_0 among us

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