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Kazeer [188]
3 years ago
12

Please show your work

Mathematics
1 answer:
anyanavicka [17]3 years ago
6 0

Answer:

Step-by-step explanation:

This is a parallelogram.  What we know about the diagonals is that they intersect each other at their midpoints.  In other words, QT = ST, and PT = RT.  So that gives us 2 equations:

If QT = ST, then

2x = y + 3

If PT = RT, then

x + 5 = y  Solving by substitution, plug x + 5 in for y in the first equation.

2x = x + 5 + 3 and

2x = x + 8 and

x = 7  Now plug in 7 for x to solve for y:

If x + 5 = y, then

7 + 5 = y and

y = 12

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