Prove that given an unlimited supply of 6-cent coins, 10-cent coins, and 15-cent coins, one can make any amount of change larger than 29 cents.

30¢ = 2×15¢

31¢ = 15¢ +10¢ +6¢

32¢ = 2×10¢ +2×6¢

33¢ = 15¢ +3×6¢

34¢ = 10¢ +4×6¢

35¢ = 15¢ +2×10¢

From this 6¢ range, any subsequent values can be reached by adding multiples of 6¢ to these numbers. For example, 36¢ = 2×15¢ +6¢.

3x + 18 = 147°

step-by-step explanation:

3x + 18 = 147°, because the value of the central angle is equal to the value of the arc formed by it.

i hope i you.

it is contrapositive

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