Hi there!
Since, The length of th' tangents drawn from an external point to a circle are equal.
Therefore, we draw following conclusions :-
• CF = EC = 6 cm
• BE = DB = 16 cm
• AD = FA = 12 cm
Now,
According to th' question, Perimeter of ΔΑΒC :-
AB + BC + AC
⇒ AD + DB + BE + EC + CF + FA
⇒ 12 cm + 16 cm + 16 cm + 6 cm + 6 cm + 12 cm = 68 cm
Hence,
The Perimeter of ΔΑΒC is 68 cm
~ Hope it helps!
Answer:
Dustin has 42 cards.
Mike has 54 cards.
Kevin has 39 cards
Step-by-step explanation:
subtract (Dustin + Mike) – (Dustin + Kevin) or 96 – 81.
Think of it like....
Dustin + Mike – Dustin – Kevin
Dustin – Dustin + Mike – Kevin
Mike – Kevin
Since 96 – 81 = 15, Mike – Kevin = 15
Add (Kevin + Mike) + (Mike – Kevin) or 93 + 15.
Think of it like...
Kevin + Mike + Mike – Kevin
Kevin – Kevin + Mike + Mike
Mike + Mike
Since 93 + 15 = 108, Mike + Mike = 108. If you divide, Mike had 54 cards. That means that you can find Kevin’s cards by using 93 – 54 or 39. You can then find Dustin’s cards by using 81 – 39 = 42.
Check:
Dustin’s cards + Kevin’s cards = 42 + 39 = 81
Dustin’s cards + Mike’s cards = 42 + 54 = 96
Mike’s cards + Kevin’s cards = 54 + 39 = 93
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