Diagonals of parallelograms
Find the length of VW.
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Answer:
The diagonal is divided equally:
YV = VW
[tex]2x + 10 = 3x \\ \\ 3x - 2x = 10 \\ \\{ \underline{ x = 10}}[/tex]
VW = 3x
VW = 3(10)
VW = 30
Answer:
VW = 30
VW = 5x -8
VW = 5(10) - 8
VW = 50-8
VW = 38 Not true as angles are congruent doesn't mean lengths are.
VW = 2x+10
VW = 2(10) + 10
VW = 20+10
VW = 30 True as section lengths to centre should be equal from different lengths with parallelograms.
VW = 2(6) +10 = 12+20 = 22 not true
VW = 5(6) - 8 = 30 - 8 = 22 not true.
Step-by-step explanation:
2x + 10 = 3x
2x+10 -3x = 3x-3x
-1x +10 = 0
10/1 = 10
x = 10
2x+10 = 5x - 8
2x+10 -5x = 5x-5x -8
-3x +10 = -8
-3x+10+8 = -8+8
-3x+ 18
x = 18/3
x = 6
x = 10 as parallelograms have congruent diagonals angles.