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olga nikolaevna [1]
3 years ago
12

Hamsa is hiking at a rate of 4 miles per hour. At this rate, how long will it take him to hike 18 miles?

Mathematics
1 answer:
GaryK [48]3 years ago
6 0

Answer:

dia4 horas y me

Step-by-step explanation:

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The similarity ratio of ΔABC to ΔDEF = 2 : 1.

Solution:

The image attached below.

Given  ΔABC to ΔDEF are similar.

To find the ratio of similarity triangle ABC and triangle DEF.

In ΔABC: AC = 4 and CB = 5

In ΔDEF: DF = 2, EF = ?

Let us first find the length of EF.

We know that, If two triangles are similar, then the corresponding sides are proportional.

⇒ \frac{AC}{DF} =\frac{BC}{EF}

⇒ \frac{4}{2} =\frac{5}{EF}

⇒ 4EF=5\times2

⇒ EF=\frac{5\times 2}{4}

⇒ EF=\frac{5}{2}

Ratio of ΔABC to ΔDEF = \frac{AC}{DF} =\frac{4}{2}=\frac{2}{1}

Similarly, ratio of ΔABC to ΔDEF = \frac{BC}{EF} =\frac{5}{\frac{5}{2}}=\frac{2}{1}

Hence, the similarity ratio of ΔABC to ΔDEF = 2 : 1.

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Step-by-step explanation:

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