Question

I need some help please?

Answer 1

I may be wrong and probably I am but I couldn't find the answer among the given...

Explanation:

From Pythagoras the height WU will be:

`"WU"=h=sqrt(36^2-32^2)=sqrt(272)=16.5`

again (to the triangle on the left):

`(x+4)^2=(x+1)^2+272`

`cancel(x^2)+8x+16=cancel(x^2)+2x+1+272`

`6x=257`

`x=257/6=42.8`

So `"WZ"=42.8+4=46.8`

Answer 2

`27toA`

Explanation:

`triangleWUZ" and "triangleWUY" are similar "(A A)`

`"hence the "color(blue)"ratios of corresponding sides are equal"`

`(WZ)/(WY)=(UZ)/(UY)`

`(x+4)/36=(x+1)/32larrcolor(blue)"cross-multiply"`

`36(x+1)=32(x+4)`

`36x+36=32x+128`

`"subtract "32x" from both sides"`

`4x+36=128`

`"subtract 36 from both sides"`

`4x=128-36=92`

`"divide both sides by 4"`

`x=92/4=23`

`rArrWZ=x+4=23+4=27`