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Lemur [1.5K]
2 years ago
10

In the given figure ABCD is a trapezoid quadrilateral in quadrilateral AB || DC if OA = 2x+4 cm , OB = 9 x -21 cm , OC = 2x-1 cm

and OD= 3 if so x = ?
find value of x

please answer fast it is urgent class 12 th subject maths ​

Mathematics
2 answers:
Dovator [93]2 years ago
6 0

Answer:

← SOLUTION →

OA OC

___ = _____

OB OD

→ 2x + 4

_______

9x - 21

= 2x -1

<h3>______. ( GIVEN ) </h3>

3

= 3(2x+4)

= (9x - 21) ( 2x -1)

= 6x+12

= 18x² -51 x +21

<h3>= 0</h3>

= 6x² - 19x +3.

= 0

= 6x² -18 x- x +3

<h3>= 0 </h3>

→ 6x ( x-3) - (x - 3)

<h3>= 0 </h3>

→ ( x - 3 ) (6x - 1 )

<h3>= 0 </h3>

<h3>x = 3. or x = 1 </h3>

__

6

[ but 2x-1 = {2 × 1

__ - 1 } < 0

. 6

= x= 3

or

x= 1

___

6

<u>SO </u><u>THE </u><u>VALUE</u><u> OF</u><u> </u><u>X </u><u> </u><u>IS </u><u>=</u><u> </u><u>3</u><u> </u><u>or </u><u>1</u><u>/</u><u>6</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u>X </u><u>=</u><u> </u><u>3</u>

<u>hope</u><u> it's</u><u> helpful</u><u> to</u><u> </u><u>you </u><u>good</u><u> </u><u>luck</u><u> </u><u>for </u><u>study</u>

kupik [55]2 years ago
6 0

Answer:

<u>x = 1/6 or x = 3</u>

Step-by-step explanation:

Given :

  1. AB ║ DC
  2. OA = (2x + 4) cm
  3. OB = (9x - 21) cm
  4. OC = (2x - 1) cm
  5. OD = 3

Solving :

  • As the sides are parallel, the diagonals are proportional to each other
  • OA/OC = OB/OD
  • (2x + 4)/(2x - 1) = (9x - 21)/3
  • (2x + 4)/(2x - 1) = 3(3x - 7)/3
  • (2x + 4) = (3x - 7)(2x - 1)
  • 2x + 4 = 6x² - 14x - 3x + 7
  • 6x² - 17x - 2x + 3 = 0
  • 6x² - 19x + 3 = 0
  • 6x² - 18x - x + 3 = 0
  • 6x(x - 3) - 1(x - 3) = 0
  • (6x - 1)(x - 3) = 0
  • <u>x = 1/6 or x = 3</u>
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