Vector A has magnitude of 40m at angel 225,if we want to add A to B so as to produce a resultant along the positive x-axis that has a magnitude of 20m,what must be the components of B

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A = <-40/√2,-40/√2>
so if v = <x,y> then
<-40/√2,-40/√2> + <x,y> = <20,0>
R = 40[225o] + B = 20
40*cos225+(40*sin225)i + B = 20
-28.3 - 28.3i + B = 20
B = 48.3 + 28.3i.
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