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wikk
ΔXPS is congruent to ΔDNF

Since they only give you two sides of ΔXPS, then you know that:
XP (4y-3)= DN (57)
XS (17x+3) = DF (54)

4y - 3 = 57
4y = 60
y = 15

17x + 3 = 54
17x = 51
x = 3

So the answers are:
x = 3
y = 15

x = 3

y = 15

Let's establish the proportion below to find the value of x and y

XP / DN = XS / DF = PS / NF

Since only 2 sides of XPS is given, then

  • 4y - 3 = 57
  • 17x + 3 = 54

Therefore,

4y = 60

y = 60 / 4

y = 15

17x = 57

x = 57 / 17

x = 3

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