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Mumz [18]
2 years ago
10

On a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 2 inches and

one with a side length of 3 inches.
Which statement is true about the two triangles?


The two triangles are the same shape but not the same size.

The two triangles are the same size but not the same shape.

It is impossible to construct equilateral triangles with these side lengths.

The two triangles are the same size and same shape.

Mathematics
2 answers:
valkas [14]2 years ago
8 0

Answer:

b

Step-by-step explanation:

Monica [59]2 years ago
7 0

Answer:

Answer:

(B)

Step-by-step explanation:

We have to construct two equilateral triangles that is one with the side length of 2 inches and the another triangle with side length of 3 inches.

Now, both the triangles are equilateral triangles, thus they have same shape.

Also, both triangles have different side lengths, one having 2 inches and another having 3 inches, thus they have different size.

Hence, the true statement about the two triangles is:

The two triangles are the same shape but not the same size.

Therefore, option B is correct.

Step-by-step explanation:

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enot [183]

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Given the functions expressed as:

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In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))

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h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x

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g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x

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