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elena-14-01-66 [18.8K]
4 years ago
15

Select the two figures that are similar to each other

Mathematics
2 answers:
Masteriza [31]4 years ago
7 0
The blue one and the small purple one are similar because they have the same angles.
anastassius [24]4 years ago
5 0

Answer:

The bottom two figures

Step-by-step explanation:

Two figures are similar if their angle measures are the same and corresponding sides are proportional.

The bottom left figure has angle measures of 37°, 53° and 90°.  The bottom right figure has the same angle measures.

The sides of the bottom left figure have lengths of 3, 4 and 5.  The corresponding sides of the bottom right figure have lengths of 6, 8 and 10.  This means they are proportional.

The figures are similar.

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Which of the following expressions are equivalent? Justify your reasoning,
marshall27 [118]

Answer:

B and D

Step-by-step explanation:

B:

Anything to a negative power means that it is 1/that to the positive power.

E.g. x^-1 = 1/x^1

In other words, anything to the power of a negative switches sides of a fraction (i.e. if in numerator moves to denominator and vice versa.)

1/x^-1 = 1/1/x^1 which is just equal to x, because there are x number of 1/xs in one (1/x * x =1) Therefore Option B is equal to just x.

D: (assuming the first given term is x^1/3 and not X1/3 (?) Correct me if I'm wrong).

x^1/3 * x^1/3 * x^1/3 is also equal to just x.

This is because when multiplying together terms with the same base (x in this case) the exponents just add together, so:

x^1/3 * x^1/3 * x^1/3 = x^(1/3 +1/3 +1/3) = x^1 = x.

Therefore B and D are equivalent because they both equal x.

Hope this helped!

7 0
3 years ago
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Answer:

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Step-by-step explanation:

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