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myrzilka [38]
4 years ago
11

Two similar polygons are shown below:

Mathematics
2 answers:
Mice21 [21]4 years ago
6 0
The correct answer would be a dialation of 1 over 3 as P'Q'R'S' is smaller than PQRS and its a third of its size.
Kobotan [32]4 years ago
3 0

Answer:  The correct set of transformations is (B) A dilation factor of 1 over 3.

Step-by-step explanation:  We are given to similar polygons PQRS and P'Q'R'S'.

We are to select the correct set of transformations that was performed on the polygon PQRS to form P'Q'R'S'.

Since the two polygons PQRS and P'Q'R'S' are similar, so there will be a dilation with a dilation (scale) factor.

We need to find the dilation factor of the dilation.

In P'Q'R'S', the length of a side is given by

P'Q' = 2 units,

and the length of the corresponding side in PQRS is given by

PQ = 2 units.

Therefore, the dilation factor of dilation is

D=\dfrac{\textup{length of a side of }P'Q'R'S'}{\textup{length of the corresponding side in }PQRS}\\\\\\\Rightarrow S=\dfrac{P'Q'}{PQ}=\dfrac{2}{6}=\dfrac{1}{3}.

Thus, there will be a dilation with a dilation factor of \dfrac{1}{3}.

Option (B) is correct.

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There was an error in C.

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Whether they do so by conveying time, voice, possibility, necessity, obligation, or other crucial information, or by assisting in the framing of a question, supporting verbs provide additional information to the main verb. For the record, verbs are words that describe an action or state of being. Auxiliary verbs are another name for helping verbs (or auxiliaries). The most typical auxiliary verbs are, do, and have (in all of their forms), but there are also modal auxiliaries, commonly known as modals or modal verbs. In other words, while all auxiliary verbs are models, not all auxiliary verbs are helping verbs.

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8 0
1 year ago
What is the equation for the line of reflection? On a coordinate plane, triangle A B C has points (6, 3.7), (5.4, 2), (1, 3). Tr
elixir [45]

Answer:

The equation for the line of reflection will be x = y.

Step-by-step explanation:

On a coordinate plane, triangle Δ ABC has points (6, 3.7), (5.4, 2), (1, 3). Triangle Δ A'B'C' has points (3.7, 6), (2, 5.4), (3, 1).

And we have to find the equation of the line of reflection of the points.

Now, it is clear from the coordinates of vertices of Δ ABC and Δ A'B'C' that after reflection the x and y-values of the respective coordinates interchange and there is no change in signs.

Therefore, the equation for the line of reflection will be x = y. (Answer)

4 0
3 years ago
Read 2 more answers
I need help lol. Find the lateral surface area of the figure to the nearest tenth.
Mekhanik [1.2K]

Answer:

101.9 sq ft

Step-by-step explanation:

The figure is missing: find it in attachment.

Here we want to find the lateral surface area of the figure, which is the sum of the areas of all faces.

We have in total 5 faces:

- 1 of them is rectangle with sizes (8.5 ft x 3.3 ft), so its area is

A_1=8.5 \cdot 3.3 =28.1 ft^2

- 1 of them is a rectangle with sizes (3.3 ft x 5.1 ft), so its area is

A_2 = 3.3\cdot 5.1 =16.8 ft^2

- 1 of them is a rectangle with sizes (6.8 ft x 3.3 ft), so its area is

A_3 = 6.8\cdot 3.3 =22.4 ft^2

- Finally, we have 2 triangular faces (top and bottom), so their area is

A_T=\frac{1}{2}bh

where

b = 5.1 ft is the base

h = 6.8 ft is the height (because the triangle is a right triangle)

So the area of the triangle is

A_T=\frac{1}{2}(5.1)(6.8)=17.3 ft^2

So the total lateral surface area of the figure is:

A=A_1+A_2+A_3+2A_T=28.1+16.8+22.4+2(17.3)=101.9 ft^2

5 0
4 years ago
Nick works two jobs to pay for college. He tutors for $15 per hour and also works as a bag boy for $8 per hour. Due to his class
Yakvenalex [24]
The correct answer is c
6 0
3 years ago
Read 2 more answers
What is the discriminant of the equation 2x^2-4x+1=0
Yanka [14]

Answer:

8 i think

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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