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Andrej [43]
3 years ago
9

Please help me with this question.

Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0

 

m∠AOC = 108°

m∠AOC = 3m∠AOB

⇒m∠AOB = (m∠AOC) / 3 = 108 / 3 = 36°



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Answer:

Total items = $39.90

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Total cost = $43.691

The clerk's error is using 9.5 as sales tax amount instead of finding 9.5% of the total items

Step-by-step explanation:

Dress = $24.95

Skirt = $14.95

steps the clerk completed.

Step 1: 24.95 + 14.95 = 39.90

Step 2: 39.90 +9.5 = 49.40

Correct steps:

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To the nearest hundredth

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Total cost is the cost of all items including sales tax

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Answer:

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For a better understanding of the solution given here please find the attached file which has the relevant diagram.

To answer this question we will have to make use of <u>the Isosceles Triangle Theorem</u> which states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. Thus, as a corollary we know that is EF is the angle bisector of the vertex angle ∠E, then, EF is the perpendicular bisector of the of the base DK.

Please follow the diagram of a complete understanding of the logic and the solution.

As EF is the angle bisector as given in the question, thus we will have:

m\angle DEK=2\times m\angle DE F=2\times 43^{\circ}=86^{\circ}.

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