X = 5 i just need to know what Y is please help this was due yesterday

Triangle WHA and WCT are similar, so corresponding parts are similar to one another. In particular,

WH / WC = WA / WT = HA / CT

which means

WH / WC = WA / WT

2 / (2 + (x - 1)) = 3 / (3 + (x + 1))

Solve for x :

2 / (1 + x) = 3 / (4 + x)

2 (4 + x) = 3 (1 + x)

8 + 2x = 3 + 3x

5 = x

and also

WH / WC = HA / CT

2 / (1 + x) = y / 12

2 / (1 + 5) = y / 12

2 / 6 = y / 12

y = 4

step-by-step explanation: