7, Each of these represented a goddess and had, at one time, been painted.

* represent vt. 代表

e.g.

I represent all the classmates.

8, The body of one statue was found among remains dating from the fifteenth century B.C.

* dating 现在分词，修饰 remains

e.g. the customs dating from 1990新概念英语答案

*date from 追溯到，从... 开始

date from＝date back to

e.g. The castle dates from/dates back to the 14th century.

9，Its missing head happened to be among remains of...

* happen to 强调事情偶然发生

e.g. I happen to have driven that kind of car. 我恰好开过这种车。

He happened to find the ticket in his pocket. 他恰巧在口袋里找到那张票。

句式：It happens that......

e.g. It happnes that I met her on my way to work

I happened to meet her on my way to work

happen on 巧遇，偶然发现,偶遇

e.g. I happend on this old picture in the drawer.

Guess, who I happend on while I was in London last month?