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aliya0001 [1]
3 years ago
7

Prove that kn=mp and knmp is a parallelogram ​

Mathematics
1 answer:
____ [38]3 years ago
3 0

Answer:

See the paragraph proof below.

Step-by-step explanation:

Quadrilateral JKLM is given as a parallelogram. By a theorem, opposite sides JK and LM are congruent (1). By the definition of parallelogram, opposite sides KJ and ML are parallel. By the theorem on alternate interior angles, angles KJL and MLJ are congruent (2). Segments JN and PL are given as congruent (3). Using the three statements of congruence labeled above (1), (2), and (3), we now prove that triangles JKN and LMP are congruent by SAS. Sides of the triangles KN and PM are congruent by CPCTC. Sides of quadrilateral KNMP are given as parallel. Therefore, quadrilateral KNMP is a parallelogram by the theorem: If two sides of a quadrilateral are both parallel and congruent, then the quadrilateral is a parallelogram.

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4 0
3 years ago
Noah bought 4 tacos and paid $6. At this rate, how many tacos could he buy for $15? Jada's family bought 50 tacos for a party an
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Answer:

-Noah could buy 10 tacos for $15.

-Jada's tacos were not the same price as Noah's tacos.

Step-by-step explanation:

You can use a rule of three to find the amount of tacos that Noah could buy with $15:

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x=(15*4)/6=10

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Now, to find out if Jada's tacos were the same price as Noah's tacos, you have to find the price per taco in each case by dividing the amount paid by the number of tacos bought:

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3 years ago
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adoni [48]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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3 0
2 years ago
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