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s2008m [1.1K]
3 years ago
13

the scale of a map is 0.5 inch : 40 miles. On the map, the distance between 2 cities is 5 inches. What is the actual distance be

tween the two cities?
Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0

This is a proportion question.

0.5:40 miles :: 5:x

Translated into division you get 0.5/40 = 5/x          Cross multiply

0.5 x = 40 * 5                   combine the right

0.5x = 200                       divide by 0.5

0.5x/0.5 = 200/0.5          Divide

x = 400

Answer: The two cities are 400 miles apart

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How to calculate a probability
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it took Otis 6 hours to travel to the Grand Canyon. Along the way he took 18 min. to get gasoline and 53 min. to eat. How much t
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2 years ago
In the circle below, suppose m FEH=272º and m EFG=116º. Find the following.​
adoni [48]

Answer:

m∠FEH = 44°

m∠EHG =  64°

Step-by-step explanation:

1) The given information are;

The angle of arc m∠FEH = 272°, the measured angle of ∠EFG = 116°

Given that m∠FEH = 272°, therefore, arc ∠HGF = 360 - 272 = 88°

Therefore, angle subtended by arc ∠HGF at the center = 88°

The angle subtended by arc ∠HGF at the circumference = m∠FEH

∴ m∠FEH = 88°/2 = 44° (Angle subtended at the center = 2×angle subtended at the circumference)

m∠FEH = 44°

2) Similarly, m∠HGF is subtended by arc m FEH, therefore, m∠HGF = (arc m FEH)/2 = 272°/2 = 136°

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Therefore;

m∠FEH + m∠HGF + m∠EFG + m∠EHG = 360° (The sum of angles in a quadrilateral EFGH)

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m∠EHG =  64°.

5 0
3 years ago
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