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
PSYCHO15rus [73]
3 years ago
5

Show that the triangles are similar

Mathematics
1 answer:
ss7ja [257]3 years ago
6 0

Answer:

<ACB is supplementary to the < ECD by the definition of supplementary angles. Therefore the first part of your answer is <ACB = <ECD

We know that similar triangles have the same corresponding angle measurements for their angles and therefore one of the triangles is just a scaled up or down version of the original. Triangle EDC is a scaled down version of ABC. Therefore, the corresponding sides of triangle ECD have the same ratio to the corresponding sides of ABC. For example line segment EC and BC are corresponding line segment and lets find the ratio: 14/21 = 2/3

THe ratio of EC to BC is 2/3 and the ratio of CD to AC is also 2/3 (18 / 27=2/3)

Therefore, CE / BC is equal to DC / AC

Your full answer is

<ACB = <ECD, CE / BC = DC / AC

So triangle ABC ~ triangle CDE

Step-by-step explanation:

You might be interested in
What is the value of y?
lord [1]

Answer:

15

Step-by-step explanation:

Angle c is 180 - 146 = 34

All 3 angles add to 180:

(5y + 3) + (4y + 8) + 34 = 180

9y + 45 = 180

9y = 135

y = 15

5 0
2 years ago
Suppose a six-sided die is tossed 1200 times and a 6 comes up 419 times. (a) Find the empirical probability for a 6 to occur. (E
krok68 [10]

Answer:

Here both probabilities are not equal.

Therefore the die is not fair and biased.

Step-by-step explanation:

Now n= 1200 times and x = 419 times.

a) Empirical Probability:

         =\frac{x}{n} \\\\= \frac{419}{1200}\\ \\=0.349

Probability = 0.349

b) Theoretical Probability:

                     =\frac{1}{6}

Here both probabilities are not equal.

Therefore the die is not fair and biased.

3 0
2 years ago
Please help for online school
Stels [109]

Answer:

4

Step-by-step explanation:

The diagram shows that the one triangle can be divided into two equal right triangles.  Because of this, you can use the Pythagorean Theorem to solve this problem.  a and b are the two sides of the angles, and c is the hypotenuse.

The given lengths are 5 as the hypotenuse and 3 as one length.  (You have 3 as a given length because the two triangles have a length of 6  on one side.  6/2 = 3)

a² + b² = c²

a² = c² - b²

a² = 5² - 3²

a² = 25² - 9²

a² = 16

a = 4

4 0
2 years ago
PLEASE HELP!!!
Nuetrik [128]

Answer:

+2Na

Step-by-step explanation:

its like algebra kinda when you have a 3y or 2x your Na ion is multiplied by 2 becoming 2Na

3 0
3 years ago
Write an algebraic expression for the word expression: <br> 15 divided by the sum of "d" and 3
Yuki888 [10]

the answer is

15/(3+d)

8 0
3 years ago
Other questions:
  • Generate equivalent fractions
    6·2 answers
  • A basket contains 4 green marbles and 8 blue marbles. a marble is drawn without replacement. then another marble is drawn. what
    9·1 answer
  • HELP!!! Gracie read 150 pages of a book she got for her birthday. The book is 227 pages long. Which equation shows how to find t
    9·1 answer
  • In what ways is the measurement 3.2 m like 3.20 m? How is<br>it different?​
    6·1 answer
  • B is opposite __________.
    9·1 answer
  • Which of the following does not illustrate randomization?
    12·2 answers
  • A multiple-choice test consists of a series of questions, each with four possible answers.
    11·1 answer
  • PLS HELP I'LL MARK BRAINLEST
    7·1 answer
  • Solve the right triangle. Round your answers to the nearest tenth.<br> 16<br> 41
    13·1 answer
  • Round each to the nearest cent.<br> $1,145.343<br> and<br> $264.5176
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!