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
melisa1 [442]
3 years ago
7

Which diagram could be used to prove △ABC ~ △DEC using similarity transformations?

Mathematics
2 answers:
NeX [460]3 years ago
6 0
The answer is A just took the test.
trapecia [35]3 years ago
4 0

Answer:

Step-by-step explanation:

(A) From the given figure, ∠BAC=∠CDE and ∠ACB=∠DCE=90°.

Thus, from ΔABC and ΔDEF, we have

∠BAC=∠CDE (Given)

∠ACB=∠DCE=90°

Thus, by AA similarity rule,

ΔABC is similar to ΔDEF.

Therefore, this option is correct.

(B) From the given figure, ∠ABC=∠DCE and ∠ACB=∠DEC

But, there is no angle and side is similar to the other angle or side of the triangle. Thus, this option is not correct.

(C) From the given figure, ∠ABC=∠ACB and ∠DCE=∠DEC

But, there is no angle or side is similar to the other angle or side of the triangle. Thus, this option is not correct.

(D) From the given figure, ∠BAC=∠CDE

But, there is no another angle or side is similar to the other angle or side of the triangle. Thus, this option is not correct.

You might be interested in
A rubber ball is dropped from a height of 50 feet. Assume that each bounce of the ball is vertical
Julli [10]

Answer:

You left out a critical piece of information in the question.

"reaches a height of of the maximum height"

Step-by-step explanation:

4 0
2 years ago
Find the x-intercepts (if any) for the graph of the quadratic function.
OleMash [197]
Here is the answer but basically the work you just plug in 6 for A, 12 for B, and 5 for C..into the quadratic formula and solve from there

8 0
3 years ago
(−5)3x7(yz)4 / (3)2x2y8z2
g100num [7]

Answer:

\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}

Step-by-step explanation:

Given:

The expression to simplify is given as:

\frac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}

In order to simplify this, we have to use the law of indices.

1. (ab)^m=a^mb^m

So, (yz)^4=y^4z^4

Substitute this value in the above expression. This gives,

=\dfrac{(-5)3x^7y^4z^4}{(3)2x^2y^8z^2}\\\\\\=\dfrac{-15x^7y^4z^4}{6x^2y^8z^2}......(-5\times 3=15\ and\ 3\times 2=6)

Now, we use another law of indices.

2. \frac{a^m}{a^n}=a^{m-n}

So,  \frac{x^7}{x^2}=x^{7-2}=x^5,\frac{y^4}{y^8}=y^{4-8}=y^{-4}, \frac{z^4}{z^2}=z^{4-2}=z^2

Substitute these values in the above expression. This gives,

=\frac{-15}{6}\times x^5\times y^{-4}\times z^2\\\\=\frac{-5x^5y^{-4}z^2}{2}

Finally, we further simplify it using the law a^{-m}=\frac{1}{a^m}

So, y^{-4}=\frac{1}{y^4}

Therefore, the given expression is simplified as:

\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}

5 0
3 years ago
Unknown angle problems (with algebra)
lubasha [3.4K]
Answer: x = 20 degree
3x = 3×20 which is 60 degree
And the other one is 100 degree
Add all the number 100+60+20 degree is 180 degree
7 0
3 years ago
Fast really need help
IgorLugansk [536]

Answer:

3^6 i think

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following provides sufficient information to write the equation of any circle? A. the x-intercept B. the y-intercep
    10·1 answer
  • Answer any of the following:
    8·1 answer
  • A pitcher contains 40 fluid ounces of iced tea. Shelby pours 3 cups of iced tea .How many pints of iced tea are left in the pitc
    12·2 answers
  • On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 1) and (0, 1). Everyth
    5·2 answers
  • The frequency of D3 is 146.83 Hz. What is the frequency of D5, which is two octaves above D3?
    5·1 answer
  • the Elephants at the zoo eat 2 3/4 buckets of bananas each day. The zookeeper bought 5 1/2 buckets of bananas. For how many days
    11·1 answer
  • 14. Which statement is true about the equation below?
    11·1 answer
  • Cubed means an exponent of 2. true or false
    15·1 answer
  • Find the value of x when 6 - 4x +6x - 8x +6 , what is the vaule of x ?
    7·1 answer
  • A box is to be constructed with a rectangular base and a height of h cm. the length, l, of the box is 10 cm, and the width, w, i
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!