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ruslelena [56]
3 years ago
13

Acar can travel 25 miles per gallon. Approximately how many gallons of fuel will the car need to travel 30

Mathematics
1 answer:
FrozenT [24]3 years ago
6 0

Answer:

The gallons of fuel car need to travel 30 km is <u>0.75</u> approximately .

Step-by-step explanation:

Given:

The car can travel 25 miles per gallon. (1 mile = 1.6 km)

Now, we need to convert 25 miles into km .

25 miles = 25 × 1.6 km

              = 40 km

So, the car can travel 40 km per gallon.

Then, we find out in 1 km how many gallons are used:

40 km = 1 gallons

1\ km = \frac{1}{40}\ gallons

1\ km = 0.025\ gallons

Now, we find out how much gallons of fuel will the car need to travel 30 km:

Gallons of fuel the car need to travel 30 km = 30\times 0.025

                                                                         = 0.75 gallons.

Therefore, the gallons of fuel car need to travel 30 km is 0.75 approximately.

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svetlana [45]

Draw line a through points A and B. Draw line b through point C and parallel to line a.

Since lines a and b are parallel, <)BAC = <)B'CA and <)ABC = <)BCA'.

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Lemma

If ABCD is a quadrilateral and <)CAB = <)DCA then AB and DC are parallel.

Proof

Assume to the contrary that AB and DC are not parallel.

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Notice that <)AEC is greater than 0.

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Contradiction. This completes the proof.

Definition

Two Triangles ABC and A'B'C' are congruent if and only if

|AB| = |A'B'|, |AC| = |A'C'|, |BC| = |B'C'| and,

<)ABC = <)A'B'C', <)BCA = <)B'C'A', <)CAB = <)C'A'B'.

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