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
vichka [17]
1 year ago
7

6

Mathematics
1 answer:
Sloan [31]1 year ago
7 0

Triangle ABC is similar to triangle DEC, ∠B ≅ ∠E and 3DE = 2BC

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, reflection, translation and dilation.</em>

Dilation is the increase or decrease in the size of a figure by a scale factor.

Right triangle ABC is reflected over AC, then dilated by a scale factor of 2/3 to form triangle DEC, hence:

Triangle ABC is similar to triangle DEC, corresponding angles are congruent (∠B ≅ ∠E) and DE = (2/3)BC i.e. 3DE = 2BC

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

You might be interested in
Nine tiles are numbered $\color[rgb]{0.35,0.35,0.35}1, 2, 3, \ldots, 9$. Each of three players randomly selects and keeps three
Eduardwww [97]

The probability that all three players obtain an odd sum is 3/14.

<h3>What is probability?</h3>

The probability is the ratio of possible distributions to the total distributions.

I.e.,

Probability = (possible distributions)/(total distributions)

<h3>Calculation:</h3>

Given that,

There are nine tiles - 1, 2, 3,...9, respectively.

A player must have an odd number of odd tiles to get an odd sum. That means he can either have three odd tiles, or two even tiles and an odd tile.

In the given nine tiles the number of odd tiles = 5 and the number of even tiles = 4.

The only possibility is that one player gets 3 odd tiles and the other two players get 2 even tiles and 1 odd tile.

So,

One player can be selected in ^3C_1  ways.

The 3 odd tiles out of 5 can be selected in ^5C_3 ways.

The remaining 2 odd tiles can be selected and distributed in ^2C_1 ways.

The remaining 4 even tiles can be equally distributed in \frac{4 ! \cdot 2 !}{(2 !)^{2} \cdot 2 !} ways.

So, the possible distributions = ^3C_1 × ^5C_3 × ^2C_1 × \frac{4 ! \cdot 2 !}{(2 !)^{2} \cdot 2 !}

⇒ 3 × 10 × 2 × 6 = 360

To find the total distributions,

The first player needs 3 tiles from the 9 tiles in ^9C3=84 ways

The second player needs 3 tiles from the remaining 6 tiles in ^6C_3=20 ways

The third player takes the remaining tiles in 1 way.

So, the total distributions = 84 × 20 × 1 = 1680

Therefore, the required probability = (possible distributions)/(total distributions)

⇒ Probability = 360/1680 = 3/14.

So, the required probability for the three players to obtain an odd sum is 3/14.

Learn more about the probability of distributions here:

brainly.com/question/2500166

#SPJ4

3 0
1 year ago
Solve for x. Round to the nearest tenth, if necessary.
natka813 [3]

Answer:

25.5

Step-by-step explanation:

first find angle E.

remember, all angles in a triangle always add up to 180 degrees.

E = 180 - 90 - 20 = 70 degrees

now we use the law of sines.

ED/sin(20) = DC/sin(70) = EC/sin(D)

EC = x

sin(D) = sin(90) = 1

24/sin(70) = x/1 = x

x = 25.5

8 0
2 years ago
You need 3 sticks of butter for every 24 cookies you bake. How many sticks of butter for 16 cookies
Kay [80]

Answer: 2 sticks.

Step-by-step explanation:

Given statement: You need 3 sticks of butter for every 24 cookies you bake.

Using unitary method , the number of sticks of butter used to bake 1 cookie=\dfrac{3}{24}=\dfrac{1}{8}

Then the number of sticks of butter used to bake 1 cookie=\dfrac{1}{8}\times16=2

Hence, the number of sticks of butter used to bake 16 cookies= 2

3 0
3 years ago
Read 2 more answers
3^x=1/9<br><br> What does x equal?
Nastasia [14]

Answer: The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!

Step-by-step explanation:

7 0
2 years ago
Through (7,2); parallel to 3x-y=8.
Dovator [93]

Answer:

x=4 y=4

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • you invest 1,600 calculate the balance of your account after 6 years. round your answer to the nearest hundredth
    11·1 answer
  • Are right triangles always congruent
    6·1 answer
  • What is this please help
    5·2 answers
  • The problem involves empirical probability. The table shows the breakdown of 95 thousand single parents on active duty in the U.
    6·1 answer
  • Simplify 7+(8-4)x 10 =<br> a) 110 b)55 c)29 d)47
    15·2 answers
  • In an equation or inequality, you want to get the variable.
    15·1 answer
  • If the probability of a spinner landing on blue in a game is 1/8 what is the probability of not landing on blue give your answer
    9·1 answer
  • Select the correct answer Trent is researching what it would take to become a pharmaceutical scientist. What academic requiremen
    12·1 answer
  • Form NOON to <br> 1:23 A.M. how much time has passed?
    14·2 answers
  • Large eggs weigh 1/1/2 pounds per dozen. Dawn bought eight large eggs. How much did the eggs weigh
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!