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Slav-nsk [51]
3 years ago
5

A boat travels 351 km in 15 ( with a constant speed ). How far can it travel in 18 hours ( with the same speed)?

Mathematics
1 answer:
MrMuchimi3 years ago
8 0

Answer: 421.20 km

Step-by-step explanation:

\frac{351}{15}=\frac{x}{18}

421.20km

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That's a Congruent Triangle question.

The first thing that we should to analize is it: What figure is EFGH? The question say for us that \overline{EF} \cong \overline{GH} and \overline{EH} \cong \overline{GF}, therefore, EFGH is a parallelogram because its parallel sides are congruents (equals).

Now, we should to proof that \triangle EFH \cong \triangle GHF. The simbol "≅" means congruence, that is, \triangle EFH \cong \triangle GHF means that the triangles EFH and GHF are equals.

Let's proof:

\overline{HF} is a diagonal of the parallelogram EFGH. When we have a diagonal in a parallelogram, the opposite angles are congruents (look at the picture: the blue angles are congruent and the red angles are congruents too). Therefore, E\hat{F}H \cong F\hat{H}G and E\hat{H}F \cong H\hat{F}G.

Both triangle has a comum side: the diagonal \overline{HF}. The diagonal \overline{HF} is between two angles that we know that are congruents, Therefore, by the case ASA (Angle, Side, Angle), we proof that \triangle EFH \cong \triangle GHF.

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