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3 years ago

Given triangles ABC and DEF. What is the simplest transformation that could produce triangle DEF from triangle ABC?

Mathematics

2 answers:

WARRIOR [948]3 years ago

7 0

Answer:

Step-by-step explanation:

ABC is transformed into DEF.

We find from the pictures given that

when ABC is transformed in to DEF, there are three steps of transformations involved

I transformation is Triangle ABC is rotated by 90 degrees about Vertex A

Then we would get a right triangle with AC horizontal on top and AB vertically down with vertex A same as (-5,-4)

Next is simple transformation of shifting A to D i.e. vertex (-5,-4) to (2,2)

For this, first shifting of 7 units to the right is done to make A as (2,-4)

Now next is vertically up by 6 units so that A becomes (2,2)

Thus we have a series of 3 transformations

i) rotation about A 90 degrees

ii) Shifting to right by 7 units

iii) shifting up by 6 units

Wewaii [24]3 years ago

3 0

Answer:

Rotation

Step-by-step explanation:

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What is the value of m in the equation 4m + 2(m + 1) = 9m + 5

ratelena [41]

M=-1

4m+2(m+1)=9m +5
4m+2m+2=9m+5
6m+2=9m+5
6m+2-6m= 9m+5-6m
2-5=3m+5-5
-3/3=3m/3
m=-1

3 0

3 years ago

Read 2 more answers

Evaluate C_n.xP^xQn-x For the given n=7, x=2, p=1/2

r-ruslan [8.4K]

Answer:

The value of given expression is $\frac{21}{128}$ .

Step-by-step explanation:

Given information: n=7, x=2, p=1/2

$q=1-p=1-\frac{1}{2}=\frac{1}{2}$

The given expression is

$C(n,x)p^xq^{n-x}$

It can be written as

$^nC_xp^xq^{n-x}$

Substitute n=7, x=2, p=1/2 and q=1/2 in the above formula.

$^7C_2(\frac{1}{2})^2(\frac{1}{2})^{7-2}$

$\frac{7!}{2!(7-2)!}(\frac{1}{2})^2(\frac{1}{2})^{5}$

$\frac{7!}{2!5!}(\frac{1}{2})^{2+5}$

$\frac{7\times 6\times 5!}{2\times 5!}(\frac{1}{2})^{2+5}$

$21(\frac{1}{2})^{7}$

$\frac{21}{128}$

Therefore the value of given expression is $\frac{21}{128}$ .

7 0

3 years ago

PLEASE HELP

katrin2010 [14]

The game that is used for the scenario above in terms of fair play is using a balloon. Here, the player will hit the balloon.

<h3>What is the scenario under the balloon game?</h3>

The rule of play are:

This is a classic game with simple rules which are:

Each player to hit the balloon up and it bonce into the air but when one should not allow it to touch the ground.,
Players would be tied together in twos and they will juggle a lot of balloon and it have to be more than 1 balloon with one of their hands tied to their back.

A scenario of the worksheet game whose expected value is 0 is given below:

Assume that it costs about $1 for a player to play the billon game and as such, if the player hits a balloon, they will be given $3. what can you say. Can you say that it this game is fair or not? and who has the biggest advantage.

Solution

Note that a game is ”fair” if the expected value is said to be 0. When a player is said to hits a balloon, their net profit often increase by $4. So when the player do not hit a balloon, it drops to $1.

(4)(0.313) + (-1)(0.313)

= 0.939 approximately

Thus, the expected value is $0.939 which tells that the game is fair.

Learn more about fair play from

brainly.com/question/24855677

#SPJ1

4 0

2 years ago

11. In a sample of n=6, five individuals all have scores of X=10 and the sixth person has a score of x=16. What is the mean for

ahrayia [7]

Answer:

Step-by-step explanation:

Given that in a sample of n=6, five individuals all have scores of X=10 and the sixth person has a score of x=16

i.e. the data entries are

10,10,10,10,10,16

Sum = 66

No of items n = 6

Average = sum/no of entries

= $\frac{66}{6} \\=11$

Average is 11.

mean of this sample is 11

8 0

3 years ago

Ill give brainliest <br> Triangle Sum Theorem CLASSWORK

zepelin [54]

Step-by-step explanation:

Sum of angles in a triangle = 180°.

Question 3:

We have 90° + 61° + (14x + 1)° = 180°.

=> 14x° + 152° = 180°

=> 14x° = 28°

=> x = 2.

Question 4:

We have 70° + 55° + (4x + 3)° = 180°.

=> 4x° + 128° = 180°

=> 4x° = 52°

=> x = 13.

7 0

3 years ago

Read 2 more answers