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3 years ago

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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When randomly choosing two cards from a standard deck of cards without replacement, what is the probability of choosing a face c

Radda [10]

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So the probability of drawing these two particular cards in the given order is

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3 years ago

Find the smallest number by which 248 should be subtracted to make them perfect square

dimaraw [331]

Answer:

21.

Step-by-step explanation:

The next perfect square below 248 i s 225 ( = 15^2).

So the answer is 248 - 225 = 21.

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3 years ago

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4 years ago

Elevator 1 in a building moved from ground position to a final position of +13 feet. Elevator 2 in the same building moved from

Marina CMI [18]

The correct answer I believe you are looking for is D. Elevator 1 is 13 feet above ground level, and Elevator 2 is 10 feet below ground level.

<u>Explaination:</u>

This is because if you start at (0, 0) Elevator one, will go up 13 on the y axis. Putting it at 13 feet above ground level. If you start Elevator 2 at ground level on (0, 0) and go down 10 it will make it -10 AKA 10 feet below ground level.

I hope this helps! :)

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4 years ago

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