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

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

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}}`

⇒
`(214-x)/(x)=(110)/(100)`

⇒
`2140-10x=11x`

⇒
`21x=2140`

⇒
`x=(2140)/(21)=101.9`

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