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slamgirl [31]
2 years ago
14

Show that KLPQ is a parallelogram

Mathematics
1 answer:
Alex787 [66]2 years ago
5 0

Step-by-step explanation:

m = 14, n = 12.5

m<L = (5m + 36)° = (5(14) + 36)°

L = 106°

m<p= (6n-1°)=(6x12.5-1°)

p=74°

m<Q = (4m + 50)° = (4(14) + 50)°

Q = 106°

k=360°-(106°+74+°106°)=360°-286°

k=74°

The sum of the interior angle of a parallelogram is 360°

The opposite side of a parallelogram are equal.

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Answer:

8 quarters

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Step-by-step explanation:

The trick is to ASSUME the dimes.

Start by thinking about the three explicit premises and the one implicit premise.

1) Quarters = 1/6 of total coins

2) Nickels = 1.5 the number of quarters

3) Pennies = 1/4 of total coins

Also, ASSUME an unknown number of dimes to fill in the gap.

48 Total Coins = $4.32

⅙ of 48 = 8 8 quarters = $2.00

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Add those coins = $2.72

Take the known total and minus this sum.

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16 dimes = $1.60

Thus, you have the following:

8 quarters (⅙ of total coins)   $2.00

12 nickels (1.5 the number of quarters) $0.60

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+ 16 dimes     $1.60

Total Coins 48      $4.32

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