The question is incomplete as the side lengtb of the cube isn't given. Taking the side length to b
be a value, x
Answer:
Step-by-step explanation:
Given that :
The side length = x
To obtain the amount of fabric which would be required for covering the funky, we Obtian the total surface area of the foam. Cube.
Using he relation :
Surface area of a cube = 6 * s² ; the side length s = x
Surface area = 6 * x².
Hypothetically,
Let x = 7 cm
E
Answer:
50,000 ≤ 23,210 + 5x
x = Average number of words per week
Step-by-step explanation:
Start off with 50,000 because that's how many words the paper needs to have.
Use "≤" because Trevor needs to write at least 50,000 words. (He can write more).
Trevor already wrote 23,210 words plus x words per week for 5 weeks.
(Solving for x will help you find the average number of words Trevor must write per week for 5 weeks).
Y < 2x + 7 ⇒ y₁ = 2x + 7
y ≤ -x + 3 ⇒ y₂ = -x + 3
2x + 7 = -x + 3
<u>+ x + x </u>
3x + 7 = 3
<u> - 7 - 7</u>
<u>3x</u> = <u>-4</u>
3 3
x = -1¹/₃
y = 2x + 7
y = 2(-1¹/₃) + 7
y = -2²/₃ + 7
y = 4¹/₃
(x, y) = (-1¹/₃, 4¹/₃)
Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.
- A reflection, then a translation.
-
A rotation, then a reflection.
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- Two triangles are congruent if they have the <u>same lengths</u> of the sides and the <u>same angles.</u>
- In a reflection, there is a rule that changes the <u>coordinates (x,y)</u>, but does <u>not </u>change <u>the lengths</u> of the sides of the triangles, thus they will still be congruent.
- A <u>reflection is also a special case of rotation</u>, thus, in a rotation, the triangles are also congruent.
- A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
- In a dilation, the <u>lengths of the sides are changed</u>, thus, the triangles will not be congruent.
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Thus, from the bullet points above, the correct options are:
- A reflection, then a translation.
- A rotation, then a reflection.
A similar problem is given at brainly.com/question/24267298