In a basketball tournament, team A scored 6 more points than 3 times as many points as team B scored. Team C scored 45 more points than team B scored. The combined scores for all three was 476 points. Which statement about the number of points is true

Team A scored 261 points.

Team B scored 85 points.

Team C scored 130 points.

Step-by-step explanation:

Given that, team A scored 6 more points than 3 times as points as time B.

It means

A scored = 3 times of B scored +6

Team C scored 45 more than team B scored.

Team C scored=Team B scored + 45

Let team B scored x points.

Team A scored= 3x+6

Team C scored=x+46

The combined scores for all three team was 476 points.

Team A scored+Team B scored+Team C scored= 476

⇒3x+6+x+x+45 =476

⇒5x+51=476

⇒5x=476-51

⇒5x=425

⇒x=85

Team B scored 85 points

Team A scored (3×85)+6=261 points

Team C scored (85+45)=130 points.

angle uzt is congruent to angle tzy. angle vzw is congruent to angle yzx.

(credits to leowren)

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