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motikmotik
3 years ago
11

In triangles △ABC and △DEF,

Mathematics
1 answer:
wel3 years ago
7 0

Answer:

  • BC = 4.8
  • ED = 1.1
  • DF = 1.6

Step-by-step explanation:

Since angles A and E correspond, as well as angles C and F, we can say ...

  ΔABC ~ ΔEDF

Then the ratio of side lengths of ΔABC to those of ΔEDF is ...

  AC/EF = 6/2 = 3

That means ...

  ED/AB = 1/3

  ED = AB·(1/3) = 3.3·(1/3) = 1.1

For the remaining sides, we have the relation

  3·DF = BC

  3·(BC -3.2) = BC

  2BC - 9.6 = 0 . . . eliminate parentheses, subtract length BC

  BC -4.8 = 0 . . . . . divide by 2

  BC = 4.8 . . . . . . . . add 4.8

  DF = BC·(1/3) = 1.6

The unknown side lengths are BC = 4.8, DE = 1.1, DF = 1.6.

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tatyana61 [14]

Answer:

Option B : Hector by 3 feet is the correct answer.

Step-by-step explanation:

Given that:

Mean of Daniel = \frac{Sum\ of\ quantities}{Number\ of\ quantities}

Mean of Daniel = \frac{27+30+34+35+34}{5} = \frac{160}{5}

Mean of Daniel = 32 feet

Mean of Hector = \frac{38+24+38+40+35}{5} = \frac{175}{5}

Mean of Hector = 35 feet

Therefore,

Hector has a greater mean

Difference = Hector's Mean - Daniel's Mean

Difference = 35 - 32

Difference = 3 feet

Hence,

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3 0
3 years ago
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krek1111 [17]

Answer:

3  2/5

Step-by-step explanation:

17/5

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5 0
3 years ago
Read 2 more answers
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raketka [301]
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Answer:

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Step-by-step explanation:

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