докажите, что прямая, пересекающая одну из двух параллельных плоскостей, пересекает и другую

1)As announced to the press, the firm ... into several new markets last year.
Her laughter …………………… the tension in the room where people were waiting for interview.
I have yet to speak to her myself, but apparently she ………………… her word.
2) The whole orchestra thinks very ... of their conductor. The unexpected finale rounded off a ……………… entertaining evening’s programme. Given the lack of funds, it seems …………………… likely that the concert hall will close
3) He’s very ... involved in the trade union and has been for a while.
It’s nice having a boss who …………… encourages me to acquire new skills.
I decided to leave last year, but I’ve only started ……………… looking for another post recently