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Assoli18 [71]
3 years ago
6

Write a two column proof for the following conjecture. Statements and reasons

Mathematics
1 answer:
bazaltina [42]3 years ago
3 0
<span>Information is given(reasons are in the parenthesis) 

Angle A and angle B are supplementary. Angle B and Angle C are supplementary  (given)


DC is parallel to AB (consecutive interior angles are supplementary )
BC is parallel to AD (consecutive interior angles are supplementary)

ABCD is a parallelogram (definition of parallelogram, has to pairs of parallel sides)</span>
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Pyotr Tchaikovsky Sporting Goods operates on a 45% overhead based on the selling price, which results in an overhead of $65.34 o
lapo4ka [179]

Answer:

Selling price of hockey game set is $145.32 , markup price is $210.54 and profit is $96 .

Step-by-step explanation:

Let us assume that the selling price of hockey game set be x .

As given

Pyotr Tchaikovsky Sporting Goods operates on a 45% overhead based on the selling price, which results in an overhead of $65.34 on the newest version of an air hockey game set.

45% is written in the decimal form .

= \frac{45}{100}

= 0.45

Thus the equation becomes  

0.45 × x = 65.34

0.45x = 65.34

x = \frac{65.34}{0.45}

x = 145.2

Therefore the selling price of the hockey game set is $145.2 .

Thus

Markup price = Selling price + Overhead Price

                      = $145.2 + $65.34

                      = $ 210.54

As given

If the air hockey game set costs Pyotr Tchaikovsky Sports $49.32 .

i.e Cost price of the  hockey game set = $ 49.32

Profit = Selling price -  Cost price

         = 145.32 - 49.32

         = $ 96

Therefore selling price of hockey game set is $145.32 , markup price is $210.54 and profit is $96 .

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I'm having trouble
Liono4ka [1.6K]
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Step-by-step explanation:

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