Question

What is the value of a?​

Answer 1

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Explanation:

Answer 2

`\large\boxed{5(1)/(3)\ units}`

Explanation:

ΔZYW and ΔWYX are similar. Therefore corresponding sides are in proportion:

`(ZY)/(YW)=(YW)/(YX)`

We have:

`ZY=3,\ YW=4,\ YX = a`

Substitute:

`(3)/(4)=(4)/(a)` cross multiply

`3a=(4)(4)`

`3a=16` divide both sides by 3

`a=(16)/(3)\\\\a=5(1)/(3)`