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vlabodo [156]
3 years ago
5

Avenues A,B, and C are parallel to each other, and are perpendicular to the 7th street. What is the length (x) of the block on b

roadway between Avenues B and C to the nearest tenth? someone please help

Mathematics
1 answer:
worty [1.4K]3 years ago
3 0

Answer:

The length (x) of the block on broadway between Avenues B and C is 101.9 m.

Step-by-step explanation:

Given Avenues A,B, and C are parallel to each other, and are perpendicular to the 7th street. we have to find the length (x) of the block on broadway between Avenues B and C to the nearest tenth.

By theorem, if two or more parallel lines are cut by two transversals lines, then they divide the transversals proportionally i.e

If A || B || C, then

\frac{\text{distance of broadway from A and B}}{\text{distance of broadway from B and C}}=\frac{\text{distance of 7th street from A and B}}{\text{distance of 7th street from B and C}}

⇒ \frac{214-x}{x}=\frac{110}{100}

⇒ 2140-10x=11x

⇒ 21x=2140

⇒ x=\frac{2140}{21}=101.9

Hence, the length (x) of the block on broadway between Avenues B and C is 101.9 m.

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