The judges and audience give them a standing ovation as they jam out on the main stage.
When the opening performance is over, host Kat Deeley takes the SYTYCD stage.
However, Lythgoe took to Twitter this afternoon to dismiss the rumours - and poke fun at former colleague Simon Cowell's much-publicised romance with Lauren Silverman in the process."I'm sorry but stories about Raquel and I are not true," Lythgoe tweeted.
"The press will probably say she's married to my friend and I got her pregnant next."Lythgoe, who divorced his ex-wife Bonnie in 2010, has previously admitted that he never expected Cowell to become a father."I thought [Simon] was a confirmed bachelor," he said.
The former Ukip leader, who was the first British politician to meet Mr Trump after his election win, toasted the billionaire tycoon in front of a rowdy crowd.
He said: 'Brexit was great but Trump becoming president is Brexit plus, plus, plus.
The channel said in a statement today: 'FOX News Channel (FNC) has signed former United Kingdom Independence Party Leader (UKIP) Nigel Farage as a contributor.
'In this role, he will offer political analysis across FNC and FOX Business Network’s (FBN) daytime and primetime programming.'Last night Mr Farage and the other members of the so-called 'Bad Boys of Brexit' hosted their first boozy Washington DC party ahead of Mr Trump's inauguration.
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Nigel Farage has been hired by the American Fox News Channel as a pundit, it was announced today.
The former Ukip leader will offer 'political analysis' across the network - one of the most-watched news channels in the US.
The longtime producer of the reality series thinks it might be too soon to bring back the show, which has been off the air for a little over a year.