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
seropon [69]
3 years ago
11

Describe the congruence transformation that maps ΔABC onto ΔA′B′C′ in the given figure.

Mathematics
1 answer:
babymother [125]3 years ago
7 0
<h3>Answer: Choice B</h3>

Reflection along y axis

Translation: (x,y) \to (x,y-3)  which means we shift 3 units down

===========================================================

Explanation:

Let's track point A to see how it could move to point A'.

If we were to reflect point A over the vertical y axis, then A(-4,4) would move to (4,4). The x coordinate flips in sign, but the y coordinate stays the same.

The diagram shows that A' is located at (4,1) instead of (4,4). So a y-axis reflection isn't enough to move A to A', but we can shift that reflected point three units down. That will move (4,4) to (4,1) which is exactly where we want to end up. Note how we subtract 3 from the y coordinate and x stays the same. So that explains the notation (x,y) \to (x,y-3)

Overall, this points to choice B as the final answer. If we apply these steps to points B and C, you should find that they'll land on B' and C' respectively.  Apply this to all of the points on the triangle ABC, and it will move everything to triangle A'B'C'.

You might be interested in
a survey survey asked 200 students to name their favorite fruit the table shows the results of a survey
stiv31 [10]

Part A

Fraction of peach 2/5

Total = 200

number of students that pick peach as their favorite fruits

\begin{gathered} =\text{ }\frac{2}{5}\text{  x  200} \\ =\text{ }\frac{2\text{ x 200}}{5} \\ =\text{ }\frac{400}{5} \\ =\text{ 80  students} \end{gathered}

Part B

number of students that pick orange as their favorite fruits

\begin{gathered} =\frac{3}{8}\times200^{} \\ =\text{ }\frac{3\text{ x 200}}{8} \\ =\text{ }\frac{600}{8} \\ =\text{ 75} \end{gathered}

number of students that pick plum as their favorite fruits

\begin{gathered} =\text{ }\frac{1}{10}\text{ x  200} \\ =\text{ }\frac{200}{10} \\ =\text{ 20} \end{gathered}

There are 55 more students that chose orange rather than plum.

4 0
1 year ago
Can someone tell me if these answers are right or not? These problems are getting on my nerves!
Bond [772]
1a. 3^1 / 3^2 = 3^1-2 = 3^-1 = 1/3^1 = 1/3.
2b. 4^2 / 4^4 = 4^2-4 = 4^-2 = 1/4^2.
3c. 6^3/6^5 = 6^3-5 = 6^-2 = 1/6^2.
4d. 3^-5 • 3^2 = 3^-10 = 1/3^10.

I believe for the last question its asking only to rewrite exponent as a positive exponent similar to the first question.
6 0
3 years ago
Consider the information about the number of customers that select various frame colors at a frame store one day. 15 customers s
Vsevolod [243]

Answer:

Exact: 733.33333333

Rounded: 730

Step-by-step explanation:

Hope this helps! :)

5 0
2 years ago
Please answer you will get 10 points.
Romashka-Z-Leto [24]

Answer:

your answer will be 126

Step-by-step explanation:

8x+78=2x+114

8x-2x=114-78

6x=36

x=36/6=6

<B=2(6)+114

=<u> </u><u>126</u>

3 0
3 years ago
Read 2 more answers
3. Which of the following is a polynomial with roots 4,6, and - 7
Vladimir79 [104]

Answer: P(x)=  x³ - 3 x² - 46 x +168

Step-by-step explanation:

(4,6, -7)

hence the polynomial will be equal to

P(x) = (x-4) (x-6) (x+7)

P(x) = (x-4) (x²+7 x -6 x -42)

P(x) = (x-4) (x²+x -42)

P(x) = x³ + x²-42 x -4 x² -4 x +168

P(x) =  x³ - 3 x² - 46 x +168

hence, the required polynomial is P(x) =  x³ - 3 x² - 46 x +168

<h2>Have a awesome day✨</h2>

5 0
3 years ago
Other questions:
  • Sheila is building a model for class. It's a tower that's designed to withstand high winds. She can use a maximum of 700 support
    13·2 answers
  • To win a game, Francine needs to move more than 10 spaces
    9·1 answer
  • The weather forecast states that there’s a 35% chance of rain tomorrow describe a method that you could use to model the situati
    14·1 answer
  • What is the equation for nine more than half of a number is 21
    8·1 answer
  • how.can you write the prime factorization and find the greatest common factor and the least common multiple of two numbers​
    9·1 answer
  • Complete the table showing the price of different amounts of grapes at this rate
    13·1 answer
  • 1. Write a recursive formula for the following sequence: <br><br> 45, 41, 37, 33
    14·2 answers
  • Two lighthouses flash their lights every 20 seconds and 30 seconds respectively. Given that they flash together at 8 p.m, when w
    15·1 answer
  • A = 10, b = 24, c = _____
    12·1 answer
  • Please help
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!