See the explanation
<h2>Explanation:</h2>
Rigid motions are transformations we perform on a figure in order to move it without changing the size or shape of it. They are also called <em>congruence transformations </em>because we can map one figure onto other figure so they will maintain every condition in order to be congruent.
Rigid motions are the following:
- Reflections: Here we reflect the figure across a line
- Translations: Here we move the figure either horizontally or vertically
- Rotations: Here we turn the figure either counterclockwise or clockwise.
So sequence of rigid motions could be any combination we get from the mentioned transformations. For instance:
Perform the transformation of triangle ΔABC following this sequence:
1. Translate the figure 2 units right and 4 units down
2. Reflect the figure across the x-axis
3. Rotate the figure 90 degrees in clockwise direction
<h2> Learn more:</h2>
Transformations in real-world problems: brainly.com/question/1033817
#LearnWithBrainly
Answer: (6) $172.50 (7) $74.80 (8) $106.65 (9) $141.20
(10) $119.00 (11) 12.5% markup (12) 15% markdown
<u>Step-by-step explanation:</u>
Use the following formula <em>(+ for markup and - for markdown/discount)</em>
Base Price ± (Base Price × markup/markdown) = Adjusted Price
6. <em>Markup so add (+)</em>
150 + (150 × 0.15) = x
150 + 22.5 = x
172.50 = x
7. <em>Markdown so subtract (-)</em>
85 - (85 × 0.12) = x
85 - 10.2 = x
74.80 = x
8. <em>Discount so subtract (-)</em>
135 - (135 × 0.21) = x
135 - 28.35 = x
106.65 = x
9. <em>Markup so add (+)</em>
x + (x × 0.25) = 176.50
x + 0.25x = 176.50
1.25x = 176.50
x = 141.20
10. <em>Markdown so subtract (-)</em>
x - (x × 0.15) = 101.15
x - 0.15x = 101.15
0.85x = 101.15
x = 119.00
11. <em>The adjusted price is more than the base price so add (+)</em>
278 + (278 × x) = 312.75
278 + 278x = 312.75
278x = 34.75
x = 0.125
x = 12.5% markup
12. <em>The adjusted price is less than the base price so subtract (-)</em>
157 - (157 × x) = 133.45
157 - 157x = 133.45
-157x = -23.55
x = 0.15
x = 15% markdown
The set of lengths that could not form a triangle is 15,7,6
X= 4/5
Because...
You turn all the missed numbers in to improper fractions, then after you add all the ones with x’s after that you should get 7 then divide 7 by 28/5. Which equals 4/5
Does it give you options? If so, what are they?
