Question

Please answer and work it out and round to the nearest tenth. Thank you!

Answer 1

The length of UV is 6 in because it is parallel to WX.

Find the length of TV:

`TV^(2) =\sqrt{TU^(2) +TV^(2)}`

`TV^(2) =\sqrt{12^(2) +6^(2)}`

`TV^(2) =√(144+36)`

`TV^(2) =√(180)`

`TV =6√(5) = 13.41640786`

The length of VX is 9 in because it is parallel to UW.

`TX^(2) =\sqrt{TV^(2) +VX^(2)}`

`TX^(2) =\sqrt{180 +9^(2)}`

`TX^(2) =√(180 +81)`

`TX^(2) =√(261)`

`TX =16.15549442`

TX = 16.2 inches

Answer 2

The value of TX is 15 in

Explanation:

According to Pythagoren theorem

Hyp² = Base² + Perp²

Putting the values

Hyp² = 12² + 9²

Hyp² = 144 + 81

Hyp² = 225

taking square root on both sides

Hyp = 15