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Brut [27]
3 years ago
6

If the diagonals of a quadrilateral bisect the angles, is the quadrilateral always a parallelogram? Explain your answer.

Mathematics
1 answer:
Liula [17]3 years ago
6 0
Yes. If the diagonals bisect the angles, the quadrilateral is always a parallelogram, specifically, a rhombus.


Consider quadrilateral ABCD. If diagonal AC bisects angles A and C, then ΔACB is congruent to ΔACD (ASA). Hence AB=AD and BC=CD (CPCTC).

Likewise, if diagonal BD bisects angles B and D, triangles BDA and BDC are congruent, thus AB=BC and AD=CD. (CPCTC again). Now, we have AB=BC=CD=AD, so the figure is a rhombus, hence a parallelogram.
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If you save $700 and earn $3 interest for every $100, how much money will you have in all?
Margaret [11]

Answer:

721

Step-by-step explanation

700 divided by 100 is 7.

So you have 7 hundred and 7 times 3 is 21.

700+21=721

4 0
3 years ago
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myrzilka [38]

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Step-by-step explanation:

Let the number of pizza made last week be represented by y.

From the question, we can form it into:

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0.24y = 12

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3 years ago
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netineya [11]

Answer:

12:10 or 6:5

Step-by-step explanation:

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3 years ago
( PLEASE HELP WITH THIS QUESTION)
Ostrovityanka [42]

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5 0
2 years ago
What percent of the bottle of apple juice is water?
Elis [28]

Answer:

40% of the bottle of apple juice is water

75% of the bottle of orange juice is water

Step-by-step explanation:

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