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Eddi Din [679]
3 years ago
12

Find the length of BC.

Mathematics
1 answer:
bazaltina [42]3 years ago
3 0

Answer:

BC = 10 units

Step-by-step explanation:

From the picture attached,

It's given that AD and BE are the parallel sides.

AC and DC are the transversal lines intersecting the parallel lines.

In ΔADC and ΔBEC,

∠DAC ≅ ∠EBC [Corresponding angles]

∠ADC ≅ ∠BEC [Corresponding angles]

ΔADC ~ ΔBEC [By AA property of similar triangles]

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

\frac{AC}{BC}=\frac{DC}{EC}

\frac{AB+BC}{BC}=\frac{DE+EC}{EC}

\frac{2.5+BC}{BC}=\frac{2+8}{8}

\frac{2.5}{BC}+1=\frac{10}{8}

\frac{2.5}{BC}=\frac{5}{4}-1

\frac{2.5}{BC}=\frac{1}{4}

BC = 10

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4 0
3 years ago
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What is the probability that a randomly selected dunlop tire lasts between 65000 and 80000 miles?
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it costs $150 to be a member of a music club. A member of the club pays $5 per music lesson. A nonmember pays $15 per music less
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