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
vivado [14]
2 years ago
14

Triangle ABC is rotated 180 degrees around point B and then dilated to form triangle DBE as shown. Which postulate or theorem es

tablishes that the triangles are similar? AA Similarity SSS Similarity SAS Similarity ASA Similarity
Mathematics
1 answer:
sleet_krkn [62]2 years ago
4 0

Answer:

AAA Similarity

Step-by-step explanation:

Given:

Triangles ABC and DBE

Required

Which postulate shows ABC and DBE similarity

From the question, we understand that the following transformation were done on ABC

  1. Rotation
  2. Dilation

It should be noted that, when a triangle (e.g. triangle ABC) is rotated, the length of the sides and angle measurements remain unchanged.

However, when this triangle is dilated, the sides of the triangle change, but the angles remain unchanged.

Having said that,

When ABC is rotated and dilated to form DBE, we have:

\angle A = \angle D = a

\angle B = \angle B = b

\angle C = \angle E = c

<em>[See Attachment]</em>

<em>Hence, the postulate that answers this question is AAA (Angle-Angle-Angle).</em>

You might be interested in
How do you do these questions?
Tanzania [10]

Answer:

μ ≈ 2.33

σ ≈ 1.25

Step-by-step explanation:

Each person has equal probability of ⅓.

\left[\begin{array}{cc}X&P(X)\\1&\frac{1}{3}\\2&\frac{1}{3}\\4&\frac{1}{3}\end{array}\right]

The mean is the expected value:

μ = E(X) = ∑ X P(X)

μ = (1) (⅓) + (2) (⅓) + (4) (⅓)

μ = ⁷/₃

The standard deviation is:

σ² = ∑ (X−μ)² P(X)

σ² = (1 − ⁷/₃)² (⅓) + (2 − ⁷/₃)² (⅓) + (4 − ⁷/₃)² (⅓)

σ² = ¹⁴/₉

σ ≈ 1.25

3 0
3 years ago
What simple interest rate would allow $6000 to grow to an amount of $14550 in 10 years?
Harman [31]

Answer:

\boxed{ \bold{ \huge{  \boxed{ \sf{ \: 14.25 \: \% \: }}}}}

Step-by-step explanation:

Given,

Principal ( P ) = $ 6000

Amount ( A ) = $ 14550

Time ( T ) = 10 years

Rate ( R ) = ?

<u>Finding </u><u>the </u><u>Interest</u>

The sum of principal and interest is called an amount.

From the definition,

\boxed{ \sf{Amount =  \: Principal + Interest}}

plug the values

⇒\sf{14550 = 6000 + Interest}

Swap the sides of the equation

⇒\sf{6000 + Interest = 14550}

Move 6000 to right hand side and change its sign

⇒\sf{Interest = 14550 - 6000}

Subtract 6000 from 14550

⇒\sf{Interest = \: 8550 \: }

Interest = $ 8550

<u>Finding </u><u>the </u><u>rate </u>

{ \boxed{ \sf{Rate =  \frac{Interest \times 100}{Principal \times Time}}}}

plug the values

⇒\sf{ Rate = \frac{8550  \times 100}{6000 \times 10} }

Calculate

⇒\sf{Rate =  \frac{855000}{60000} }

⇒\sf{Rate = 14.25 \: \% \: }

Hope I helped!

Best regards!!

8 0
3 years ago
Mr. Brown's class is collecting books for a book drive. They started with 2 books. On the first day, they had 6 books. On the se
elena-s [515]

Answer:

the answer is b i click it and it was right

y=2(3)^x

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
If f(x)=√2x+3/6x-5, then f(-1/2)=
denis23 [38]

answere=-1

this is the answere and the explanation.

8 0
3 years ago
Solve the following absolute value inequality. 3x - 727 x &lt; 16 X &gt; [?]​
RUDIKE [14]

Answer:

-2

Step-by-step explanation:

3|x-7|<= 27

then |x-7|<=27/3=9

hence, -9<=x-7<=9

therefore, -2<=x<=16

4 0
3 years ago
Other questions:
  • An inventory record for the bookstore of a local college shows a receipt of 150 accounting books on May 1. Another shipment of 2
    6·1 answer
  • Carlos and Eddie went to a New
    15·1 answer
  • 1. Hannah gives clues about her 6 digit secret number:
    10·1 answer
  • The population of an Asian country is growing at the rate of 0.7% annually. If there were 3,942.000 residents in the city in 199
    8·1 answer
  • Find the missing value for X
    11·1 answer
  • Please help me thank you
    10·1 answer
  • What’s the answer ?
    11·1 answer
  • If a transversal is perpendicular to one of two parallel lines, how many different angle measures are formed?
    12·1 answer
  • HELP! What is the solution to the following system of equations?
    5·1 answer
  • 9+3.5g=11-0.5g brainliest to whoever gives steps
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!