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Elis [28]
3 years ago
6

The triangles are similar. Solve for the missing segment.

Mathematics
2 answers:
notsponge [240]3 years ago
6 0

Answer:

\boxed{56}

Step-by-step explanation:

We can use ratios to solve since the triangles are similar.

\frac{20}{32} =\frac{35}{x}

Cross multiplication.

20x=35 \times 32

Divide both sides by 20.

\frac{20x}{20} = \frac{35 \times 32}{20}

x=56

PIT_PIT [208]3 years ago
3 0

Answer:

56

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{35+20}{20} = \frac{32+?}{32} ( cross- multiply )

20(32 + ?) = 1760 ( divide both sides by 20 )

32 + ? = 88 ( subtract 32 from both sides )

? = 56

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