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
Roman55 [17]
3 years ago
5

∆ABC transforms to produce ∆A'B'C'. Which transformation did NOT take place?

Mathematics
2 answers:
never [62]3 years ago
6 0

Answer: The answer is (D) Reflection across the line y = -x.


Step-by-step explanation:  In figure given in the question, we can see two triangles, ΔABC and ΔA'B'C' where the second triangle is the result of transformation from the first one.

(A) If we rotate ΔABC 180° counterclockwise about the origin, then the image will coincide with ΔA'B'C'. So, this transformation can take place here.

(B) If we reflect ΔABC across the origin, then also the image will coincide with ΔA'B'C' and so this transformation can also take place.

(C) If we rotate ΔABC through 180° clockwise about the origin, the we will see the image will be same as ΔA'B'C'. Hence, this transformation can also take place.

(D) Finally, if we reflect ΔABC across the line y = -x, the the image formed will be different from ΔA'B'C', in fact, it is ΔA'D'E', as shown in the attached figure. So, this transformation can not take place here.

Thus, the correct option is (D).


Black_prince [1.1K]3 years ago
4 0

Answer:

D.reflection across the line y = -x

Step-by-step explanation:

I had the same question asked on a assignment

You might be interested in
A bike shop rents bikes for $4.50 per hour, plus a $7.50 insurance charge. For how many hours can Peter rent a bike if he has $3
Mandarinka [93]

Answer:

With $30, Peter can afford 5 hours

Step-by-step explanation:

Given

Insurance Charge = $7.5

Charges = $4.5 per hour

Required

Determine the number of hours $30 can afford

First, we need to determine the equation.

<em>Total Charges = Charges per hour + Insurance Charge</em>

Substitute values for Charges per hour and Insurance Charge

Total Charges = 4.5 per hour + 7.5

Let the number of hours be n;

So,

Total Charges = 4.5n + 7.5

To calculate Peter's; substitute 30 for total charges

30 = 4.5n + 7.5

Subtract 7.5 from both sides

4.5n = 30 - 7.5

4.5n = 22.5

Divide both sides by 4.5

n = \frac{22.5}{4.5}

n = 5

Hence;

<em>With $30, Peter can afford 5 hours</em>

3 0
3 years ago
An orange has about 1/4 cup of juice. How many oranges are needed to make 2 1/2 cups of juice?
Vesna [10]

Answer:

10 oranges

Step-by-step explanation:

4 oranges are needed to make one cup. 2 cups is 8 oranges and 1/2 cup is 2 oranges

8 0
3 years ago
Solve the equation, 4 - (x + 1) = 6.<br><br> x = -3<br> x = 3<br> x = -9<br> x = 9
Vinvika [58]

Answer:

Step-by-step explanation:

The negative in front of the parenthesis changes the signs of the numbers and variables inside the parenthesis. We can rewrite as

4 - x - 1 = 6 and

3 - x = 6 so

- x = 3 and

x = -3

3 0
3 years ago
Read 2 more answers
Which ordered pair is the solution to the system of equations? {x+3y=−12y=13x−6 (−5, −213) (−9, −9) (3, −5) (10, −223)
Sindrei [870]
I am not sure! What is the original equation?
7 0
3 years ago
6x^2 + 3x - 1 =0 Use the Quadratic Formula to solve for X
Citrus2011 [14]
The answer is :x=3±√3312x=3±3312x≈0.72871355,−0.22871355
Use the quadratic formula to find the solutions.<span><span><span><span>−b</span>±<span>√<span><span>b2</span><span><span>−4</span><span>(<span>ac</span>)</span></span></span></span></span><span>2a</span></span><span><span><span>-⁢b</span>±<span><span>b2</span><span><span>-4</span>⁢<span>a⁢c</span></span></span></span><span>2⁢a</span></span></span>Substitute the values <span><span>a=6</span><span>a=6</span></span>, <span><span>b=<span>−3</span></span><span>b=<span>-3</span></span></span>, and <span><span>c=<span>−1</span></span><span>c=<span>-1</span></span></span> into the quadratic formula and solve for <span>xx</span>.<span><span><span>3±<span>√<span><span><span>(<span>−3</span>)</span>2</span><span><span>−4</span>⋅<span>(<span>6⋅<span>−1</span></span>)</span></span></span></span></span><span>2⋅6</span></span><span><span>3±<span><span><span>-3</span>2</span><span><span>-4</span>⋅<span>6⋅<span>-1</span></span></span></span></span><span>2⋅6</span></span></span>Simplify.Tap for less steps...Simplify the numerator.Tap for less steps...Raise <span><span>−3</span><span>-3</span></span> to the power of <span>22</span> to get <span>99</span>.<span><span>x=<span><span>3±<span>√<span>9<span><span>−4</span>⋅<span>(<span>6⋅<span>−1</span></span>)</span></span></span></span></span><span>2⋅6</span></span></span><span>x=<span><span>3±<span>9<span><span>-4</span>⋅<span>6⋅<span>-1</span></span></span></span></span><span>2⋅6</span></span></span></span>Multiply <span>66</span> by <span><span>−1</span><span>-1</span></span> to get <span><span>−6</span><span>-6</span></span>.<span><span>x=<span><span>3±<span>√<span>9<span><span>−4</span>⋅<span>−6</span></span></span></span></span><span>2⋅6</span></span></span><span>x=<span><span>3±<span>9<span><span>-4</span>⋅<span>-6</span></span></span></span><span>2⋅6</span></span></span></span>Multiply <span><span>−4</span><span>-4</span></span> by <span><span>−6</span><span>-6</span></span> to get <span>2424</span>.<span><span>x=<span><span>3±<span>√<span>9+24</span></span></span><span>2⋅6</span></span></span><span>x=<span><span>3±<span>9+24</span></span><span>2⋅6</span></span></span></span>Add <span>99</span> and <span>2424</span> to get <span>3333</span>.<span><span>x=<span><span>3±<span>√33</span></span><span>2⋅6</span></span></span><span>x=<span><span>3±33</span><span>2⋅6</span></span></span></span>Simplify the denominator.Tap for less steps...Rewrite.<span><span>x=<span><span>3±<span>√33</span></span><span>2⋅6</span></span></span><span>x=<span><span>3±33</span><span>2⋅6</span></span></span></span>Multiply <span>22</span> by <span>66</span> to get <span>1212</span>.<span><span>x=<span><span>3±<span>√33</span></span>12</span></span><span>x=<span><span>3±33</span>12</span></span></span>The result can be shown in both exact and approximate form.<span><span>x=<span><span>3±<span>√33</span></span>12</span></span><span>x=<span><span>3±33</span>12</span></span></span><span>x≈0.72871355,<span>−0.22871355</span></span>
7 0
3 years ago
Other questions:
  • Wanda wants to start a vegetable garden. She has set aside a 5-foot by 35-foot area in her backyard for the garden. If each type
    5·1 answer
  • Which shows two equivalent fractions?
    14·2 answers
  • What is the quantity of 26/13
    10·2 answers
  • What Is The Answer For -6( -2+a ) = 54
    5·1 answer
  • Please some-one help!<br> Given: m∠JNM =4x+6m ∠KNL = 7x−21 <br> What is the m∠JNM ?
    15·1 answer
  • Equations of graph ​
    10·1 answer
  • Hiii, What is a common factor of both terms in 22m - 33?
    15·1 answer
  • 13.5 + 0.5n = 19.5 , solve for n
    14·1 answer
  • Write an equation in standard form of the line that passes through (-4,-4) and has the slope -3/2
    6·1 answer
  • Zahin has 4/6
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!