Why are these triangles similar?

Jaycee draws a sequence of squares on the coordinate plane. First she draws a square in the center with corners at 2,2 spots and

Anon25 [30]

This is based on understanding what dilation means in a graph transformation.

The dilation from first square directly to sixth square will be; (x,y) -> (243, 243)

In transformations, dilation of an object involves producing an image of the object that is the same shape but not the same size.

This means that if we want to dilate a square, we will produce a bigger square of a different size.

We are told one corner of the first square she drew is (2, 2). This means that one side of the square is 2 units as the four sides of a square are equal.

For the second square, she dilates the first one using (x, y) -> (3x, 3y).

This means the corner that was (2, 2) will now be (3 × 2), (3 × 2) = (6, 6)

For the third square, it will be; (3 × 6), (3 × 6) = (18, 18)

For the fourth square, it will be; (3 × 18), (3 × 18) = (54, 54)

For the fifth square, it will be; (3 × 54), (3 × 54) = (162, 162)

For the sixth square, it will be; (3 × 162), (3 × 162) = (486, 486)

Since first square was (2, 2), then it means dilation from first square directly to sixth square will be; (x,y) -> (486/2, 486/2)

⇒ (x,y) -> (243, 243)

Read more at; brainly.com/question/2523916

4 0

1 year ago

3 letters without replacement 4 letters A B C D how many ways can this be done if the order of the choices matters

Veseljchak [2.6K]

Answer:

Since the order of choice matters, we will permute the values. a bit more explanation for this:

If the order of choice did NOT matter, ABC and BCA will be counted as one since order of choice does NOT matter

Since order of choice does matter, ABC , BCA and CAB are all different possibilities for the arrangement of the same 3 letters

Since we have 3 slots:

___ ___ ___

Now, for the first slot. You can out either one if the 4 alphabets in the first slot since no slot has been used as of now

So:

_4_ ___ ___

**Keep in mind that the 4 is the possible number of values this slot can have**

Now that one slot has been used, one of the 4 alphabets has been used and since we are not allowed to repeat the same alphabets, we are left with 3 more alphabets

we can put any one of the 3 alphabets in this second slot, Hence:

_4_ _3_ ___

Now that 2 of the 4 alphabets have been used, we are left with only 2 alphabets, so there are only 2 possible alphabets for slot 3

Therefore:

_4_ _3_ _2_

Now that we know the possible alphabets for all 3 slots, we will multiply them with each other to get the total possible number of 3 - alphabet words we can make with 4 alphabets

Total possible words = 4 * 3 * 2

Total possible words = 24

We could've used the formula for Permutation as well

8 0

3 years ago

What is the absolute value of -1+3i

Ierofanga [76]

Answer:

bsdjsds

Step-by-step explanation:

4 0

3 years ago

What is the volume of the triangular prism

mestny [16]

Answer:

308 cm³

Step-by-step explanation:

The volume is:

V = Bl = 1/2(ah)l
V = 1/2(7*8)*11 = 308 cm³

3 0

3 years ago

Read 2 more answers

What is the IQR (Inter Quartile Range) for the data set?

vladimir2022 [97]

Arrange in ascending order:-

6 7 11 13 14 15 15 19 21

median = 14
lower quartile = mean of 7 and 11 = 9
upper quatile = mean of 15 and 19 = 17

Interquartile range = 17 - 9 = 8

answer is 8

4 0

3 years ago

Why are these triangles similar?​

Why are these triangles similar?