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emmainna [20.7K]
3 years ago
10

Ben wants to buy a guitar. The regular price of the guitar is $364.00. The sale peke of the guitar is 20% off of the regular pri

ce. Ben must pay 8.75 sales tax in addition to the sale price of the guitar. What is
the total amount ben must pay for the guitar?
Mathematics
1 answer:
grin007 [14]3 years ago
5 0

Answer:

299.95

Step-by-step explanation:

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Step-by-step explanation:

By Basic Proportionality Theorem:

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Find the value of y.
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Answer:

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Step-by-step explanation:

Based off of what we do know, if we can find length DB we can use the pythagorous theorem (I will be assigning the variable z)

x^{2} =36+z^{2} \\\\y^{2}=25+z^2\\\\x^{2} +y^2=121\\\\

First equation is for triangle ABD

Second is for BCD

And the last one is for ACD

Substitute x^{2} and y^2

36+z^2+25+z^2=121\\\\61+2z^2=121\\\\2z^2=60\\\\z^2=30\\\\z=\sqrt{30}

As discovered before

y^2=25+z^2\\\\y^2=25+30\\\\y^2=55\\\\y=\sqrt{55}

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