回答
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You can trust him/her. He/she is always willing to give advice, so would you like me to introduce you?
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He/She is trustworthy. He’ll/she’ll give you advice whenever you need it, should I introduce you to him/her?
「あの人なら信頼できます」というのは、
You can trust him/her. (彼・彼女を信頼できる)
He/She is trustworthy. (信頼できる人です)
というふうに言えます。
「いつでも相談にのってくれる」というのは、
He/she is always willing to give advice. (いつも相談にのってくれる意志がある)
He'll/she'll give you advice whenever you need it. (いつも相談にのってくれれば頼める)
といいます。
「紹介しましょうか」というのは、
Would you like me to introduce (him/her to) you?
Should I introduce you to him/her?
として使えます。
回答
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He is a very responsible man.
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He is always giving me advice.
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Shall I introduce him to you?
信頼できる、は、responsible, trustworthy, dependable, creditable, などがあります。