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saveliy_v [14]
3 years ago
8

If a car can travel 3,267 miles on 33 gallons of fuel, how many gallons are required to travel 107,811 miles?

Mathematics
1 answer:
CaHeK987 [17]3 years ago
5 0
(107,811 * 33)/3267 = 1089 gallons of fuel
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Pani-rosa [81]

Answer:

a. m<B = 100°

b. m<L = 55°

c. Scale factor = 9/11

Step-by-step explanation:

a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.

Since ∆ABC ~ ∆GLJ, therefore,

<A = <G,

<B = <J

<C = <L

m<J = 100° (given)

Therefore,

m<B = m<J = 100°

m<B = 100°

b) m<A = m<G

m<A = 25° (given)

Therefore,

m<A = m<G = 25°

m<G = 25°

m<L = 180° - (m<J + m<G)

Substitute

m<L = 180° - (100° + 25°)

m<L = 55°

c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle

Scale factor = AB/GJ

Substitute

Scale factor = 18/22

Simplify

Scale factor = 9/11

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Changing around B gives us y = ²/₃x + 3. This has a positive slope, <em>but also a positive y-intercept</em>, so B can not be the answer.

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