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Raechelrae04
17.01.2020 •
Mathematics
4. deck is a parallelogram. find the values of x and y.
kt = 2x + y
dt = x + 2y
te = 12
tc = 9
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Ответ:
The value of x = 5 and y = 2.
Step-by-step explanation:
Here, given DECK is a parallelogram.
Also, KT = 2x + y , DT = x + 2y , TE = 12 and TC = 9
Now, in parallelogram:
DIAGONALS IN A PARALLELOGRAM BISECT EACH OTHER
Also, in the parallelogram DECK,
Sides DC and KE are two diagonals.
⇒ T is the mid point of AC and KE.
⇒ KT = TE and DT = TC ( as diagonals are bisected)
⇒ 2 x + y = 12 and x + 2y = 9
So here, the set of two equations are:
2 x + y = 12 (1)
x + 2 y = 9 (2)
Multiply (2) with -2 and add with (1), we get:
2 x + y - 2 x - 4 y = 12 - 18
or, - 3 y = - 6
or, y = 2
If y = 2, then x + 2 (2) = 9 or, x = 5
Hence the values of x = 5, y = 2
Ответ:
40 inches,10+10+10+10=40
Step-by-step explanation: