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Keith_Richards [23]
2 years ago
8

An envelope is 6 in. wide and 4 in. high. Will a card with an 8 in. diagonal fit in it? Identify the correct explanation.

Mathematics
1 answer:
lisov135 [29]2 years ago
5 0
First we have to find the diagonal of the card. We do this by using the Pythagoras theorem: A^2 = b^2 + c^2
= 6^2 + 4^2
=36 + 16
= 52
A^2= 52
Sqrt A^2 = sqrt 52
A = 7.2
Since the envelopes diagonal is 7.2 inches and the card’s diagonal is 8 inches and 7.2<8. Your answer is c)
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Answer:

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Step-by-step explanation:

okay the first step to solving this is understanding what are the properties of ∠A and ∠B.

so the angles are equal to each other because they are alternate interior angles.

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