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Dvinal [7]
3 years ago
11

Figure a is dilated by a scale factor of 1/2 to form figure b. What is the length of x?

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
5 0

Answer:

Step-by-step explanation:

The correct option is 3. The value of x is 8 inches.

PIT_PIT [208]3 years ago
3 0

Answer:

The correct option is 3. The value of x is 8 inches.

Step-by-step explanation:

It is given that Figure A is dilated by a scale factor of 1/2 to form Figure B. It means both figure are similar and corresponding sides of similar figures are proportional.

\text{scale factor}=\frac{\text{Side of image}}{\text{Side of preimage}}

\frac{1}{2}=\frac{x}{16}

Multiply both sides by 16.

\frac{16}{2}=x

8=x

Since scale factor is 1/2, so we can directly say that the side length of image is half of the corresponding side of preimage.

The length of x is 8 inches. Therefore the correct option is 3.

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