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Sagot :
In a parallelogram, opposite sides are of equal measure.
QR = TS
find x
- 5(x) - 1 = 2(x) + 5
- 5(x) - 2(x) = 5 + 1
- 3(x) = 6
- x = 2
1)
- QR:
- 5(x) - 1
- 5(2) - 1
- 10 - 1
- 9
2)
- QR = TS = 9
Find value of y:
- QT = RS
- y + 8 = 3(y) - 2
- y - 3(y) = -2 - 8
- -2(y) = -10
- y = 5
3)
QT:
- y + 8
- 5 + 8
- 13
4)
if x = 5
means the diagram is enlarged.
- scale factor = 5/2 = 2.5
then y will be:
- 2.5 * 5 = 12.5
We need x and y
Opposite sides of a parallelogram are equal
- QR=TS
- 5x-1=2x+5
- 3x=6
- x=2
And
- RS=QT
- 3y-2=y+8
- 2y=10
- y=5
Hence
- QR=TS=5x-1=5(2)-1=9
- RS=QT=y+8=5+8=13
#3
Segment QT is 4
so
- y+8=4
- y=4+8
- y=12
Another way
- x is 5
- old x is 2
So
scale factor:-
- k=5/2=2.5
Find y
- y=5k
- y=5(2.5)
- y=12.5
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