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777dan777 [17]
3 years ago
8

Can you answer this PLEASEEEE​

Mathematics
1 answer:
WINSTONCH [101]3 years ago
8 0

The figure is a parallelogram so the facing sides have equal size which means :

DE = GF & DG = EF

-------------------------------------------------------------

DE = 3x - 1 , GF = 2x + 11

DE = GF ==》 3x - 1 = 2x + 11

subtract sides minus 2x

==》- 2x + 3x - 1 = - 2x + 2x + 11

collect like terms

==》 x - 1 = 11

add sides 1

==》 x - 1 + 1 = 11 + 1

==》 x = 12

-------------------------------------------------------------

As we found : DG = EF

DG = 2x - 3 So EF = 2x - 3

To find the size of EF, we need to put the value of x (which we found above) instead x.

EF = 2 × ( 12 ) - 3 ==》 EF = 24 - 3

==》 EF = 21

And we're done...

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