Prove that a rectangle has congruent diagonals. Be sure to create and name the appropriate geometric figures.

Mathematics

1 answer:

Anni [7]4 years ago

5 0

Answer:

The first way to prove that the diagonals of a rectangle are congruent is to show that triangle ABC is congruent to triangle DCB

Here is what is given: Rectangle ABCD

Here is what you need to prove: segment AC ≅ segment BD

Since ABCD is a rectangle, it is also a parallelogram.

Since ABCD is a parallelogram, segment AB ≅ segment DC because opposite sides of a parallelogram are congruent.

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AN elevator has a placard stating that the maximum capacity is1720lb-10passengers. So , 10 adult male passengers, find the proba

MArishka [77]

We will check if the elevator can hold 10 man
X~(177,32^2)
n= 10
P(SigmaX>172)
SigmaX~(177*10,(32^2)*10)
SigamX~N(1770, 101.19^2)
P(SigmaX>172*10=1720) =Z=(1720-1770)/101.19
Z = -0.49
From Z table Z=-0.49
P(Z=-0.49) = 0.3121 (probability they will not overload)
1- 0.3123 = 0.6879 = 68.79%
The elevator is not safe, the probability to be more the 172 is 68.79%, high probability they could not make it.

7 0

3 years ago

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Vikki [24]

Answer:

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Step-by-step explanation:

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