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
natulia [17]
3 years ago
12

Type the correct answer in each box. Spell all the words correctly, and use numerals instead of words for numbers. If necessary,

use / for the fraction bar(s). We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of unit(s) and a across the -axis. Reset Next
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0

Answer:

We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of (x-2, y) unit(s) and a across the x-axis.

Step-by-step explanation:

The triangle ABC is shown in the image attached. The coordinates of the triangle are A(8, 8), B(10, 4), C(2, 6), while the triangle A'B'C' is at A'(6, -8), B'(8, -4), C'(0, -6).

A transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, dilation and rotation.

If a point O(x, y) is translated a units on the x axis and b units on the y axis, the new coordinate is O'(x+a, y+b).

If a point O(x, y) is reflected across the x axis, the new coordinate is O'(x, -y)

Hence if triangle ABC is translated -2 units on the x axis (2 units left), the new coordinates are A*(6, 8), B*(8, 4), C*(0, 6). If a reflection across the x axis is then done, the new coordinates are A'(6, -8), B'(8, -4), C'(0, -6).

You might be interested in
Please answer this with explanation. Please I really am struggling. I will mark you brainalist. Please solve it Please
Hatshy [7]

Answer:

13, 11, 4, 16, 6, 22

Step-by-step explanation:

<em>Let the second digit be x and the last digit be y</em>

Given:

  • Data set: 13, x, 4, 16, 6, y
  • Mean = 12
  • y = 2x or x = 2y

The mean of the data is the average. The average can be calculated by determining the sum of the terms and dividing it by the total digits.

\implies \text{Mean of data:} \ \dfrac{13 + x + 4 + 16 + 6 + y}{6} = 12

Let us substitute the value of y (2x) in the data.

\implies \dfrac{13 + x + 4 + 16 + 6 + 2x}{6} = 12

Now, add all the terms in the data and simplify.

\implies \dfrac{39 + x +2x}{6} = 12

\implies \dfrac{39 + 3x}{6} = 12

Distribute the denominators and simplify.

\implies \dfrac{39}{6} + \dfrac{3x}{6}  = 12

\implies  \dfrac{13}{2} + \dfrac{x}{2}  = 12

\implies  6.5 + \dfrac{x}{2}  = 12

Subtract 6.5 both sides and simplify.

\implies  6.5 + \dfrac{x}{2}  - 6.5 = 12 - 6.5

\implies \dfrac{x}{2} = 5.5

Use cross multiplication and simplify.

\implies x= 5.5 \times 2

\implies  x= 11

To determine the value of "y", simply substitute the value of "x" into the expression that represents the value of "y".

\implies y = 2x

\implies y = 2(11)

\implies y = 22

When the x and y values are substituted in the data, we get;

  • ⇒ 13, 11, 4, 16, 6, 22

Therefore, the data is 13, 11, 4, 16, 6, 22.

8 0
2 years ago
What is the fourth number if three of the numbers are 80, 95, and 85?
Strike441 [17]
100 because it goes up 15 and 5
3 0
3 years ago
Read 2 more answers
Which of the following is an irrational number? (With explanation)
Stells [14]

Answer:

√200

Step-by-step explanation:

An irrational number is a number that can not be represented as a fraction

√81 = 9 = 9/1

√-16 = 4i

√-64 = 8i

√200 = ~14.14213

5 0
2 years ago
A card is drawn randomly from a standard 52-card deck. Find the probability of the given event.
irakobra [83]

Answer:

a). 1/13

There are 4 5s. so 4/52

b). 3/13

12 total jack, king, and queen. 12/52

c). 15/26

30 cards are not face cards so 30/52

8 0
2 years ago
Work out m and c for the line:2y−4x=2
Alex73 [517]

Step-by-step explanation:

General equation : y = mx + c

2y - 4x = 2

2y = 4x + 2

y = 2x + 1

Therefore m = 2 and c = 1.

4 0
3 years ago
Other questions:
  • The square pyramid has a volume of 27 cubic inches. What is the value of X?
    10·1 answer
  • The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 3.5 . Suppose 49 golfers p
    6·1 answer
  • Need help ASAP!! please
    8·1 answer
  • For what value of x of line a parallel to line b?
    13·2 answers
  • I need help in 3 pls
    11·1 answer
  • 26)
    8·2 answers
  • Someone help please ://////
    14·1 answer
  • I’ll mark you if it’s right.
    10·1 answer
  • An experiment has four groups and six observations in each group. What are the treatment degrees of freedom?a. 19b. 3c. 4d. 23e.
    6·2 answers
  • Farid's friend can't eat wheat, so Farid is baking him a loaf of gluten-free raisin bread. He mixes the dough and leaves it in a
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!