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
Choose one of the factors of x15 − 64. (2 points)
Lorico [155]

We have been given the function x^{15}-64

Convert this expression in difference of cubes form.

x^{15}-64\\=(x^5)^3-4^3

Now, in order to find the factors, we can apply the difference of cubes form, which is given by

x^3-y^3=(x-y)(x^2+xy-y^2)

On applying this formula, we get

(x^5-4)(x^{10}+4x^5+16)

Hence, the factors of the given expression are

(x^5-4) \text{ and }(x^{10}+4x^5+16)

Out of the given option, A is the correct option.

x^5 − 4 is the required factor.

6 0
3 years ago
Read 2 more answers
Helpppppppppppppppppppp
Effectus [21]
Simple proportions.

You want a 1:5 ratio.
You have a 5:1 ratio.
So you add another 24 drops of white.
5:25 = 1:5 
or
5/x = 1/5 and cross multiply.
7 0
3 years ago
I need help....Does anybody know the answer?
Alex_Xolod [135]

Answer:

4/5

Step-by-step explanation:

8/15 = 8/15

3/5 = 9/15

2/3 = 10/15

11/15 = 11/15

We see that the pattern is that the terms increase by 1/15 as they move up.

Thus, the next term in the sequence is 12/15, which can be simplified to 4/5.

Let me know if this helps!

3 0
2 years ago
Determine whether this situation is linear or nonlinear? Explain your reasoning
jenyasd209 [6]
You didn't describe the situation so I can't answer.
However: if the graph of the situation is a straight line then the situation is linear, and if the graph is not a straight line then it is nonlinear.
8 0
3 years ago
Help! Please. I don’t know what I did wrong.
Debora [2.8K]

Answer:

1320, permutation

Step-by-step explanation:

There are 12 members

Pick a president

We have 12 choices

Now there are 11 people left to pick from

now pick a vp

We have 11 choices

Now there are 10 people left to pick from

now pick a secretary

We have 10 choices

12*11*10 = 1320

This is a permutation since it matters who is president, vp and secretary

6 0
3 years ago
Other questions:
  • This is worth 20 points please help now it is an emergency. Please do 1 through 10
    14·1 answer
  • What is 6/6 in a reduced fraction
    8·1 answer
  • Verbal expression for the algebraic expression: 12x​
    15·2 answers
  • Absolute 10.7 of percent 11
    9·1 answer
  • A dog is 3 and one half
    6·1 answer
  • What is the sign of−1.69+(−1.69)
    7·1 answer
  • HELP I NEED HELP ASAP
    14·1 answer
  • Solve my problem plz
    15·2 answers
  • Juan spent $2.50 on apples and oranges. He bought 5 apples at $0.36 each. What is the most he spent on the oranges?Please this i
    13·1 answer
  • Question 4 (Essay Worth 1 points)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!