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Dafna1 [17]
3 years ago
10

Triangle ABC has side length of 14, 8 and 10.4 what are the possible side lengths of a triangle DEF if ABC is similar to DEF

Mathematics
1 answer:
defon3 years ago
8 0

Answer:

<em>DEF can have possible side lengths of 28, 16, 20.8</em>

Step-by-step explanation:

<u>Triangle Similarity</u>

If the three sides of two triangles have the same proportion, the triangles are similar (SSS theorem).

Triangle ABC has side lengths of 14, 8, and 10.4.

Any other triangle whose side lengths are the same lengths of ABC multiplied by a constant scale factor is similar to ABC.

For example, select scale factor 2. Thus, the triangle of side lengths 2*14=28, 2*8=16, and 2*10.4=20.8 is similar:

DEF can have possible side lengths of 28, 16, 20.8

Any other scale factor will do.

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Answer:

s = 18

Step-by-step explanation:

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3 years ago
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In a race that consisted of three parts the cycling part was 12 1/2 miles long the running part of the race was won for the dist
Nata [24]

Complete question is;

In a race that consisted of three parts, the cycling part was 12 1/2 miles long. The running part of the race was 1/4 the distance of the cycling part. The kayaking part of the race was 1/2 the distance of the running part. What was the entire distance, in miles of the race?

Answer:

Total distance of race = 17.1875 miles

Step-by-step explanation:

The 3 parts of the race are; cycling, running and kayaking.

The cycling distance was; 12½ miles

We are told that the running part was ¼ of the cycling distance. Thus;

Running distance = ¼ x 12½ = ¼ x 25/2 = 25/8 miles

Lastly, we are told that the kayaking part was ½ the distance of the running part. Thus;

Kayaking distance = ½ x 25/8 = 25/16

Thus,total distance of race = cycling distance + running distance + kayaking distance = 12½ + 25/8 + 25/16 = 17.1875 miles

4 0
3 years ago
Kalon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of we
Mariulka [41]
In order to find out the answer, you just need to calculate :

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4 years ago
Write the function in standard form.<br> f(x) = - 2(x - 9)2 + 14<br> f(x)=
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F(x) = -2 (x-9)2 + 14
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3 years ago
Solve. 7x4+2-4+32x5 i will mark brainliest to whoever answers first
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Answer:

290 :)

Step-by-step explanation:

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