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
Eduardwww [97]
3 years ago
8

Which rule describes the composition of transformations that maps ABC to A"B"C"?

Mathematics
1 answer:
vredina [299]3 years ago
4 0

Answer:

The rule describes the composition of transformations that maps Δ ABC to Δ A"B"C" is rx-axis, T(x - 6, y - 2) ⇒ B

Step-by-step explanation:

Let us revise some rules of transformation

  • If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)
  • If The point (x, y) reflected across the y-axis, then its image is (-x, y), the rule of reflection is ry-axis (x, y) → (-x, y)
  • If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)
  • If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)
  • If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)
  • If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)

Look at the graph and list the vertice of each triangle

∵ A = (5, -5) and A' = (5, 5)

∵ B = (1, -2) and B' = (1, 2)

∵ C = (1, -5) and C' = (1, 5)

→ The signs of y-coordinates of all vertices of ΔABC are opposite

   in ΔA'B'C'

∴ Δ ABC is reflected across the x-axis

∴ The rule is rx-axis (x, y) → (x, -y)

∵ A' = (5, 5) and A" = (-1, 3)

∵ -1 - 5 = -6 and 3 - 5 = -2

∵ B' = (1, 2) and B" = (-5, 0)

∵ -5 -1 = -6 and 0 - 2 = -2

∵ C' = (1, 5) and C" = (-5,3)

∵ -5 - 1 = -6 and 3 - 5 = -2

→ That means every x-coordinate in Δ A'B'C' added by -6 and every

   y-coordinate add by -2

∴ Δ A'B'C' is translated 6 units to the left and 2 units down

∴ The rule is T (x, y) → (x - 6, y - 2)

The rule describes the composition of transformations that maps Δ ABC to Δ A"B"C" is rx-axis, T(x - 6, y - 2)

You might be interested in
There are 8 boys on
zloy xaker [14]

Answer:

50

Step-by-step explanation:

let x represent the total number of students.

8 / x = 16/ 100

16x = 800

x = 50

50 total students

6 0
2 years ago
The table gives the relative frequencies of recipes that contains sugar and salt, contain at least one of those ingredients, or
tigry1 [53]

<u>Answer-</u>

<em>The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%</em>

<u>Solution-</u>

The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.

We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.

We know that, the conditional probability of occurrence of A given that B occurs is,

P(A|B)=\frac{P(A\ and\ B)}{P(B)} =\frac{P(A\bigcap B)}{P(B)}

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})}{P(\text{Contains salt})}


P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})=\frac{0.15}{1} =0.15\\P(\text{Contains salt})=\frac{0.67}{1}=0.67

Putting these values,

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{0.15}{0.67} =0.224=22.4\%

5 0
3 years ago
viktor has $250 in his bano account. he withdraws $15 per week. let x represent the number of weeks that he makes withdrawals an
antiseptic1488 [7]
The answer is y=$250-$15x. 
6 0
3 years ago
5. what is the theoretical probability that a coin toss results in one head and one tail showing?
Alenkasestr [34]
There are two sides (heads and tails). So one head would be 1/2, and one tail would also be 1/2.
4 0
2 years ago
Which statement best describes the relationship between storage space and number of music files?
Rina8888 [55]

Answer:

As the number of files increases, the storage space used increases.

7 0
2 years ago
Other questions:
  • 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
  • The amount of water in a bottle is reduced by 85% to 120 ml. How much water was originally in the bottle?
    8·1 answer
  • What is the area of a circular cardboard piece needed for the base of a model of a volcano that is 20 centimeters tall and has a
    5·2 answers
  • You have a certain number of books in your library. You bought more books to triple your amount, then decide to give 14 away to
    12·1 answer
  • Please help me find the answer and explain the process to find the answer of the problem appreciate it :)
    15·1 answer
  • Given f(x) = -2x^2 + 4, determine the slope of the secant line over the interval [-1, 2].
    5·1 answer
  • Find the unknown measures. around lengths to the nearest hundredth and angle measures to the nearest degree.
    14·1 answer
  • I need help please ASAP
    9·1 answer
  • Rewrite the following integral in spherical coordinates.​
    8·1 answer
  • Help me please translations hw
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!