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Angelina_Jolie [31]
3 years ago
5

* There are five cars in line at a stoplight. Each of these cars is a different color and different type of car. Diego is drivin

g the red car. Ingrid is driving the sedan. The green car is immediately behind the white car. The minivan is third in line. Rachel is driving the first car in line. Anton is just behind the driver in the SUV. Yuna is driving the green car. The driver in the yellow car is just in front of the convertible. Rachel is just in front of the blue car. The sedan is white. One of the cars is a pickup truck. Who is driving the pickup truck?
Mathematics
1 answer:
Svetach [21]3 years ago
6 0
Info given :
vehicles : (colors)red car, green car, yellow car, blue car, white car
types : sedan, minivan, SUV, convertible, pick-up truck
people : Diego, Ingrid, Rachel, Anton, Yuna

Diego -- red car -- minivan -- 3rd car
Ingrid -- white car -- sedan -- 4th car
Yuna -- green car -- truck -- 5th car
Rachel -- yellow car -- SUV -- 1st car
Anton -- blue car -- convertible -- 2nd car

I am thinking the truck, it is green, is driven by Yuna
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Slope of MN =\dfrac{1-0}{5-0}=\dfrac{1}{5}

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Slope of AB =\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}

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=\dfrac{44k-99}{-145}

Product of slopes of two perpendicular segments is -1.

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\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1

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44k-99=725

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Therefore, the value of k is k=18\dfrac{8}{11}.

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