1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lubov Fominskaja [6]
2 years ago
15

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 th

e length of AB.Write your answer to two decimal places.
Mathematics
1 answer:
katrin2010 [14]2 years ago
7 0

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

The length of AB is 0.43

The given parameters are:

\mathbf{BE = 1.8}

\mathbf{CD = 9}

\mathbf{BC = 1.7}

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

  • BE corresponds to CD
  • AB corresponds to AC

So, the equivalent ratio is:

\mathbf{AB:BE =AC:CD }

Substitute known values

\mathbf{AB:1.8 =AC:9 }

Express as fractions

\mathbf{\frac{AB}{1.8} =\frac{AC}{9} }

Multiply both sides by 1.8

\mathbf{AB =\frac{AC}{5} }

<em>AC = AB + BC</em>

So, we have:

\mathbf{AB =\frac{AB  + BC}{5} }

Substitute 1.7 for BC

\mathbf{AB =\frac{AB  + 1.7}{5} }

Multiply through by 5

\mathbf{5AB =AB  + 1.7}

Collect like terms

\mathbf{5AB -AB  =1.7}

\mathbf{4AB  =1.7}

Divide both sides by 4

\mathbf{AB=0.425}

Approximate

\mathbf{AB=0.43}

Hence, the length of AB is 0.43

Read more about similar shapes at:

brainly.com/question/20536565

You might be interested in
Evquivilent Ratio for 23:37
solong [7]

Answer:

46:74

Step-by-step explanation:

7 0
3 years ago
Help me please !!!!!!!!!
ANTONII [103]
The answer in b next time make sure the picture is clear
3 0
3 years ago
a box or laundry detergent is on sale for $6.50. If this price represents a 40% discount from the original price, what is the or
Usimov [2.4K]
The discount is $2.60. $6.50 + $2.60 = $9.10. $9.10 is the original price.
4 0
3 years ago
Read 2 more answers
If EM=11, AM=16, and CF=27, what are the lengths of the following sides?
tensa zangetsu [6.8K]

Answer:

18

Step-by-step explanation:

4 0
3 years ago
A circle has an arc of length 24π that is intercepted by a central angle of 80°. What is the radius of the circle?
bixtya [17]
I got radius= 54
arc/2pi r = degrees/360
then fill in what you know: 24pi/2pi r = 80/360
Now cross multiply and you get: 8640pi = 160pi r
Now divide both sides by 160pi and you get: 54= r
8 0
3 years ago
Other questions:
  • there are ten chairs in a row. in how many ways can two people be seated so that they are not seated next to each other?
    13·1 answer
  • Find the surface area to the nearest hundredth
    10·2 answers
  • When a truckload of apples arrives at a packing plant, a random sample of 150 is selected and examined for bruises, discoloratio
    14·1 answer
  • Will mark as brainliest! 40 points! Thanks!
    9·1 answer
  • Ratio 7:5 large to small stickers. How many large if the total is 96?
    6·1 answer
  • There is a line that includes the point (5, 6) and has a slope of 0. What is its equation in
    14·1 answer
  • A pail has a capacity 4 times that of a glass.
    6·1 answer
  • Tommy went to the mall and bought a shirt for $10 and a pair of pants for $30. Their was a sales tax of 7% on his purchase. How
    11·1 answer
  • Please help me! I’ve already asked this but nobody answered me so-
    13·1 answer
  • I need more help please...
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!