Question

Find u and v only please:

Answer 1

Every two triangles are similar. Therefore the sides of triangles are in proportion.

We have the equations:

1.

`(3)/(5)=(3+x)/(20)` cross multiply

`5(3+x)=(3)(20)` divide both sides by 5

`3+x=(3)(4)`

`3+x=12` subtract 3 from both sides

`\boxed{x=9}`

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2.

`(3)/(4)=(9)/(y)` cross multiply

`3y=(4)(9)`

`3y=36` divide both sides by 3

`\boxed{y=12}`

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3.

`(3)/(5)=(3+9+u)/(60)`

`(3)/(5)=(12+u)/(60)` cross multiply

`5(12+u)=(3)(60)` divide both sides by 5

`12+u=(3)(12)`

`12+u=36` subtract 12 from both sides

`\boxed{u=24}`

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4.

`(3)/(4)=(24)/(v)` cross multiply

`3v=(4)(24)`

`3v=96` divide both sides by 3

`\boxed{v=32}`