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Ivan
3 years ago
12

Kim is drawing a map of the different schools in her school district. She knows that her middle school is 10.6 miles away from t

he middle school that her best friend attends. If every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map, to the nearest tenth of an inch?
Mathematics
1 answer:
Natalija [7]3 years ago
7 0
5.5 inches away on the map. 

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Given: AB ∥ DC
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Answer:

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Step-by-step explanation:

we know that

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step 1

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m∠ADC+m∠DAE=180° -----> by consecutive interior angles

we have

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substitute

134°+m∠DAE=180°

m∠DAE=180°-134°=46°

step 2

In the right triangle ADE

Find the length side AE

cos(∠DAE)=AE/AD

AE=cos(46\°)(40)\\AE=27.79\ units

step 3

In the right triangle ADE

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DE=sin(46\°)(40)\\DE=28.77\ units

step 4

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we have

DC=32\ units\\AB=DC+2(AE)=32+2(27.79)=87.58\ units\\DE=28.77\ units

substitute

A=\frac{1}{2}(32+87.58)28.77

A=1,720.16\ units^2

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4 years ago
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