Lucas is making accessories for the soccer team. He uses 665.72 inches of fabric on headbands for 32 players and 2 coaches. He also uses 286.08 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Step-by-step explanation:

We have been given that Lucas is making accessories for the soccer team. He uses 665.72 inches of fabric on headbands for 32 players and 2 coaches. He also uses 286.08 inches of fabric on wristbands for just the players.    

First of all, we will find fabric used on headbands for each person by dividing total fabric by total number of persons.

Therefore, 19.58 inches of fabric is used on headbands for each player or coach.  

We are also told that Lucas also uses 286.08 inches of fabric on wristbands for just the players. To find amount of fabric used for wristband of each player, we will divide 286.08 inches of fabric by number of players only.

Therefore, 8.94 inches of fabric is used on wristbands for each player.

Now we will add 19.58 inches and 8.94 to find inches of fabric used on a headband and wristband for each player.

Therefore, 28.52 inches of fabric was used on a headband and wristband for each player.

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

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