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Gwar [14]
3 years ago
5

Describe the sequence of transformations for which Triangle B is the image of Triangle A.

Mathematics
2 answers:
Helga [31]3 years ago
7 0

Answer:

  • reflection in x = 1
  • translation up 2

Step-by-step explanation:

The orientation of B is the opposite of the orientation of A, so a reflection is involved. The smallest angle is at the bottom in both figures, and the largest angle is on the right in A and the left in B, so the reflection is left-right, rather than up-down.

The point midway between the largest angle vertices is on the vertical line x=1, so that line can be used for reflection. Reflecting A across that line will put its large-angle vertex at (3, 0), so a translation up 2 units is also needed.

The reflection on x=1 and translation up 2 can be done in either order.

_____

<em>Additional comment</em>

A combination of reflection and translation is called a "glide reflection." Our choice of x = 1 as the line of reflection takes care of any horizontal translation that would be required if a different vertical line were used. For example, reflection across the y-axis would require a subsequent translation up 2 and right 2.

sergejj [24]3 years ago
7 0

Answer:

2?

Step-by-step explanation:

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Sets A and I are defined as follows:
Goshia [24]

Answer:

{-5,-2,0,2,5,-1,1,8}

Step-by-step explanation:

The union of two sets contains all elements that are in set A or in set B (possibly both).

{-5,-2,0,2,5} ∪ {-5,-1,1,5,8} = {-5,-2,0,2,5,-1,1,8}

6 0
2 years ago
Evaluate the expression |2x – 5| for x = –3 and for x = 3.
stepladder [879]

Answer:

C. 11, 1

Step-by-step explanation:

I could have sworn I already answered this. Oh well. I guess I can answer it again. Simply plug in -3 and 3 for <em>x</em><em>,</em><em> </em>then find<em> </em>the absolute value [ALWAYS POSITIVE].

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3 years ago
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postnew [5]
I think the answer is 4.21
8 0
2 years ago
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Dominik [7]
I’m attaching a photo. For each of these, start by multiplying both sides of the inequality by what’s in the denominator.

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5 0
3 years ago
Faith and Shawna are shopping for shirts. The available styles are short sleeve (s), tank top (t), and long sleeve (L). they mak
Alexxx [7]

Answer:

The number of ways of selection of 3 items taking 2 at a time in addition to the possible ways in which each girl selects the same style is 9 different ways. Since the list contains 9 different ways in which each of them can select a style, the list is complete.

Step-by-step explanation:

Here we have the number of ways the available styles can be arranged between each girl is given by the number of permutation of 3 items, taking two at a time plus the number of possible selections where both of them select the same style as follows

We note that the formula for permutation is

_nP_r = \frac{n!}{(n-r)!}

Therefore ₃P₂ = \frac{3!}{(3-2)!} = 6 different ways

The number of possible selections where both of them select the same style is given by

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7 0
3 years ago
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