Question

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

Answer 1

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.