Because the image to the right (attached) comprises of lines intersecting one another proportionally, hence, the value of y = 19. See the computation below.
What is the calculation justifying the above answer?
We are given AD = 17
AC = 3y - 23
AD = DC (Given in the diagram)
AC = AD + DC
AC = AD + AD
AC = 2AD
3y - 23 = 2 x 17
3y = 34 + 23
y = 57/3
y = 19
AC = 3 (19) - 23
AC = 57 - 23
AC = 34
Therefore,
y = 19
AC = 34; and
DC = AC - AD
DC = 34 - 17
DC =17
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