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Ответ:

1. Her skin glowed in the __________________ light.

D artificial

2. They bought __________________ designer clothing.

C counterfeit

3. This is no time for_________________ modesty.

A fake

4. They understood that it was __________________ 50$.

C counterfeit

5. She __________________ her spouse’s signature.

A faked

6. The report was dismissed as totally __________________.

A false

7. The media gave the world a __________________ impression of life in the city.

A fake

8. He was feeding __________________ information to his customers.

В false

9. She gave an __________________ smile.

D artificial (ещё можно сказать "a fake smile", но тут артикль не позволяет)

10. The allegations were __________________.

В false

Объяснение:

artificial - made or produced by human beings rather than occurring naturally; insincere or affected (притворный; неестественный; искусственный; синтетический)

fake - not genuine; imitation or counterfeit (ненастоящий, поддельный, фиктивный)

false - not according with truth or fact; incorrect (фальшивый; искусственный; ложный; неверный)

counterfeit - made in exact imitation of something valuable or im­portant with the intention to deceive or defraud (поддельный; подложный; фальшивый; контрафактный)