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Korolek
3 months ago
8

Figures R, S, and T are all scaled copies of one another. Figure S is a scaled copy of R using a scale factor of 3. Figure T is

a scaled copy of S using a scale factor of 2. Find the scale factors for each of the following:
1. From T to S

2. From S to R

3. From R to T

4. From T to R
Mathematics
1 answer:
lawyer [12.5K]3 months ago
4 0

Answer:

1/2

1/3

6

1/6

Step-by-step explanation:

To find the inverse of a scale factor, the scale factor is its reciprocal. For instance, moving from S to R, the scale factor equals 3, hence from R to S, it's 1/3. Therefore:

1. From T to S, the reciprocal of the scale factor (2) results in 1/2

2. From S to R, applying the reciprocal of the scale factor (3) results in 1/3

3. From R to T derives from one figure to another, leading to multiplying the two scale factors (2 and 3) giving us 6

4. From T to R, being the opposite of R to T, leads us to the reciprocal of the scale factor from R to T (6) resulting in 1/6

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Which equivalent fraction corresponds to \frac{2}{6}? - \frac{3}{7} since \frac{2}{6}= \frac{2 + 1}{6 + 1} - \frac{3}{9} as \frac{2}{6}= \frac{1}{3} and \frac{1}{3} = \frac{3}{9}

- \frac{3}{12} because \frac{2}{6}= \frac{1}{3} and \frac{1}{3} = \frac{3}{9}

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A fraction is deemed equivalent if it maintains the same value when expressed in simplest terms. The equivalent to \frac{2}{6} is found in the chosen option;

First, halve both the numerator and denominator by 2

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\frac{1*3}{3*3} = \frac{3}{9}

Therefore, \frac{2}{6} equals \frac{3}{9}.

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