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melisa1 [442]
2 years ago
8

Help me with this parallelogram please :)

Mathematics
2 answers:
Morgarella [4.7K]2 years ago
8 0

The opposite sides of parallelogram are equal in length, so we can infer that :

  • BC = AD

now, let's solve for value of x :

  • 9x - 4 = 6x + 14

  • 9x - 6x = 14 + 4

  • 3x = 18

  • x = 18 \div 3

  • x = 6

we have to find the measure of AD,

  • 6x + 14

Plugging the value of x as 6 :

  • (6 \times 6) + 14

  • 36 + 14

  • 50

The Correct option is D. 50

antoniya [11.8K]2 years ago
3 0

Parallel sides of parallelogram are equal in length

\\ \sf\longmapsto AD=BC

\\ \sf\longmapsto 6x+14=9x-4

\\ \sf\longmapsto 9x-6x=14+4

\\ \sf\longmapsto 3x=18

\\ \sf\longmapsto x=6

AD=6x+14=6(6)+14=36+14=50

Option D

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