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3 years ago

13

A group of friends wants to go to the amusement park. They have $121 to spend on parking and admission . Parking is $5, and tick

ets cost $14.50 per person , including tax. Which tape diagram could be used to represent the context if p represents the number of people who can go to the amusement park?

1 answer:

In-s [12.5K]3 years ago

4 0

The tape diagram should have one box for $5, 121 as the total. And some more boxes where the value is 14.50. Hope this helps!

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Step-by-step explanation:

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Triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC

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Answer:

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Step-by-step explanation:

The picture of the question in the attached figure

we know that

The triangle ABD is an isosceles triangle

because

AB=BD

The segment BM is a perpendicular bisector segment AD

so

<em>In the right triangle ABM</em>

Applying the Pythagorean Theorem

$BM^2=AB^2-AM^2$

we have

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substitute

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Applying the Pythagorean Theorem

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we have

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substitute

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equate equation A and equation B

$-x^2+18x-32=25-x^2$

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Simplify

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$DC=AC-2x$

substitute the given values

$DC=9-2(\frac{19}{6})$

$DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units$

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