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zloy xaker [14]
3 years ago
13

In triangle $ABC$, $AB = 16$, $AC = 24$, $BC = 19$, and $AD$ is an angle bisector. Find the ratio of the area of triangle $ABD$

to the area of triangle $ACD$. (Express your answer as a fraction in lowest terms.)'

Business
1 answer:
Hunter-Best [27]3 years ago
6 0

Answer:

DC=\frac{57}{5}

Explanation:

We have triagle ABC bisected by angle AD, like is shown in the image.

A bisector angle is a line which cuts an angle into two equal halves.

So:

BC = BD + DC ∴ 19  =BD + DC ⇒ BD = 19 - DC  (1) because D cuts BC in 2 parts.

By angle bisector theorem: the ratio of any 2 sides of a triagle is equal to the ratio of the lenths formed on its third side by the anfle bisectorof the anfle formed by those 2 sides:

\frac{AB}{BD} = \frac{AC}{DC} (2) read: side AB is BD as AC is to DC

Clear DC:

DC = \frac{AC*BD}{AB} (3)

we know: AC = 24, BD = 19 - DC (from (1)) and AB = 16

replacing all the values:

DC = \frac{24 ( 19  - DC)}{16}

DC=\frac{57}{5} (4)

for (4) in (1)

BD = 19 - \frac{57}{5}=\frac{38}{5} (5)

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The provision for questionable accounts is referred to as a "counter asset" since it reduces the value of an asset, in this example, the accounts receivable. The compensation, often known as a doubtful account, is management's projection of the amount of accounts receivable that customers will not pay. Let's assume, using the aforementioned example, that on June 30 a business reports an accounts receivable debit balance of $1,000,000. The business predicts that $50,000 will not be converted into cash and expects some consumers won't be able to pay the full amount.

learn more about  doubtful account visit brainly.com/question/28944789

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1 year ago
Data for Divisions A, B, C, D, and E are as follows:
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1. A

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2 years ago
Many businesses responded to sustainability by adopting a triple bottom line approach, taking into consideration social and envi
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B) economic performance

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3 0
2 years ago
Standards differ from budgets in that
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D) budgets are a total amount and standards are a unit amount.

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For each given choice in the question explanation is provided below as to why its or its not the correct answer.

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Both budgets and standards contribute in the planning and control are of the company. Therefore, this option is incorrect.

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3 years ago
Consider the following items:
mrs_skeptik [129]

Answer:

land, Accounts Receivable

Notes Payable , Buildings

,Equiment

Explanation:

land will last very long if u take care if it

Notes payable are long-term assets because it says ' due in three years ' nad from what i know 3 years is alot

buildings are also very long-term asest if you build them strong and powerful

Notes Payable are long-term assets because it says " due in six months " . From whay i know 6 months is half year , and that is a lot

last but not least equiment . If you take care if your equiment it will stay good for al long time

P.S , hope it is right

PEACE

7 0
3 years ago
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