Answer:
If a quadrilateral is a parallelogram, then consecutive angles are supplementary. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Step-by-step explanation:
10:14 or 10 to 14
The total number of roses is 14 and there are 10 red roses. For every 14 roses there are 10 red roses.
Rule: The diagonals of any parallelogram bisect each other. In other words, they cut each other in half.
This means DF is cut into two equal pieces: DH and HF.
Similarly, GE is cut into two equal pieces: GH and HE.
DH = HF
x+5 = 2y
x = 2y-5
GH = HE
4x-3 = 4y+1
4(x)-3 = 4y+1
4(2y-5)-3 = 4y+1 ... x has been replaced with 2y-5
8y-20-3 = 4y+1
8y-23 = 4y+1
8y-4y = 1+23
4y = 24
y = 6
If y = 6, then x is
x = 2y-5
x = 2(6)-5
x = 12-5
x = 7
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Answers:
x = 7 and y = 6
