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faust18 [17]
2 years ago
9

Catalina multiplied 842 and 3 and got 3,326. how can can she check to see if her answer is reasonable

Mathematics
1 answer:
denpristay [2]2 years ago
4 0
By rounding 842 to 800, she can multiply 800 by 3 to get 2,400.

then, multiply 40 by 3, you get 120 and add the two together to get 2,520

this shows her answer is not necessary reasonable
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In △ABC, AD and BE are the angle bisectors of ∠A and ∠B and DE ║ AB . Find the length of DE if perimeter of ABDE is 30 cm and AB
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Answer:

DE = 6 cm

Step-by-step explanation:

Let DE = x cm.

Since DE is parallel to AB therefore by the alternate interior angles theorem, m∠BAD = m∠ADE and m∠ABE = m∠DEB ............(1)

As AD is an angle bisector of ∠A, therefore m∠EAD = m∠DAB ; Since BE is an angle bisector of ∠B ⇒ m∠ABE = m∠EBD.

Therefore, from (1) We get ,  m∠EAD = m∠ADE and m∠EBD = m∠BED.

So, the triangles ADE and EDB are then isosceles with AE = ED and ED = DB.

So AE = DE = DB = x, and since the perimeter of ABDE is 30 cm, then

12 + x + x + x = 30

⇒ 12 + 3x = 30

⇒ x = 6

Hence, the length of DE is 6 cm.


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Step-by-step explanation:

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