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Alexandra [31]
3 years ago
7

Given: AD = BC and AD || BC

Mathematics
1 answer:
bearhunter [10]3 years ago
4 0

Answer:

ABCD is a parallelogram.

Step-by-step explanation:

A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.    

From the given diagram,

Given: AD = BC and AD || BC, then:

i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)

ii. <ADC = < BCD and < DAB = < CBA

thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)

iii. < BAC = < DCA (alternate angle property)

iv. Join BD, line AC  and BC are the diagonals of the quadrilateral which bisect each other. The two diagonals are at a right angle to each other.

v. <ADC + < BCD + < DAB + < CBA = 360^{0}  (sum of angles in a quadrilateral equals 4 right angles)

Therefore, ABCD is a parallelogram.

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Answer:

2:25pm

Step-by-step explanation:

The time given is 5pm to catch the train back to school;

Amount of time for the tour  = 1hr 45min

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So;

Total time  = 2hr 35min

So;

        5pm - 2hr 35min  = 2:25pm

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3 years ago
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Step-by-step explanation:

Glad I could help :)

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Larry is thinking of a number that is between 0 and 300. What is the correct model for this situation?
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3 years ago
Explain the error in the work shown. Find the
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Answer:

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