Answer:
Step-by-step explanation:
You want the values of x and y in a rhombus with the halves of one diagonal labeled (x+8) and (16-x), and halves of the other diagonal labeled (2y+13) and (5y+4).
Diagonals
The diagonals of a rhombus bisect each other at right angles. This means the two halves are congruent:
x +8 = 16 -x . . . . . . halves are equal
2x = 8 . . . . . . . . add x-8
x = 4 . . . . . . . . divide by 2
and
5y +4 = 2y +13 . . . . . . halves are equal
3y = 9 . . . . . . . . . subtract 2y+4
y = 3 . . . . . . . . divide by 3
The values of x and y are 4 and 3, respectively.
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Additional comment
The "x" diagonal halves have length 12; the "y" diagonal halves have length 19.
