Given the triangles are similar, calculate the value of y to the nearest tenth.

y=4.5

This is because the ratio between the two triangles is 1:2 so the side lengths of the first triangle is half the corresponding side length of the second triangle.

Step-by-step explanation:

MusicLeonard BernsteinLyricsStephen SondheimBookArthur LaurentsBasisRomeo and Juliet

by William ShakespeareProductions1957 Washington, D.C. (tryout)

1957 Philadelphia(tryout)

1957 Broadway

1958 West End

1959 US tour

1960 Broadway revival

1964 Broadway revival

1974 West End revival

1980 Broadway revival

1984 West End revival

1985 US tour

1995 US tour

1998 West End revival

2009 Broadway revival

2010 US tour

2020 Broadway revival

The story is set in the Upper West Sideneighborhood in New York City in the mid 1950s, a multiracial, blue-collar neighborhood. The musical explores the rivalry between the Jets and the Sharks, two teenage street gangsof different ethnic backgrounds. The members of the Sharks, from Puerto Rico, are taunted by the Jets, a white gang.[2] The young protagonist, Tony, a former member of the Jets and best friend of the gang's leader, Riff, falls in love with Maria, the sister of Bernardo, the leader of the Sharks. The dark theme, sophisticated music, extended dance scenes, and focus on social problems marked a turning point in American musical theatre. Bernstein's score for the musical includes "Jet Song", "Something's Coming", "Maria", "Tonight", "America", "Cool", "One Hand, One Heart", "I Feel Pretty", "Somewhere", "Gee, Officer Krupke" and "A Boy Like That".

The original 1957 Broadway production, conceived, directed and choreographed by Jerome Robbins and produced by Robert E. Griffith and Harold Prince, marked Sondheim's Broadway debut. It ran for 732 performances before going on tour. The production was nominated for six Tony Awards including Best Musical in 1958,[3] but the award for Best Musical went to Meredith Willson's The Music Man. Robbins won the Tony Award for his choreography and Oliver Smith won for his scenic designs. The show had an even longer-running London production, a number of revivals and international productions. A 1961 musical film adaptation, directed by Robert Wise and Robbins, starred Natalie Wood, Richard Beymer, Rita Moreno, George Chakirisand Russ Tamblyn. The film was nominated for eleven Academy Awards and won ten, including George Chakiris for Supporting Actor, Rita Moreno for Supporting Actress, and Best Picture.