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
2 answers:
Answer:
← SOLUTIO N →
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 2 x - 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>
Answer:
<u>x = 1/6 or x = 3 </u>
Step-by-step explanation:
Given :
AB ║ DC OA = (2x + 4) cm OB = (9x - 21) cm OC = (2x - 1) cm 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>
You might be interested in
#4(1)=-1. (2)=5. (3)=14. (4)=26 srry but all i know hoped i helped [how i did] the first one i did 3×-5+14 which equals -1 and the second one is the same two 3×-3+14=5 you just add the the number on B
1. 2n/2 > 14/2
n > <u>7</u>
2. (n/5)5 ≥ (11)5
n ≥ <u>55</u>
Answer:
<h2>8/9</h2>
Step-by-step explanation:
9 in total 4 blue
4/9 x 2
8/9
Answer:
Using PEMDAS, we would first divide 24/8=3. Then, since there is no multiplication or division left, we can finish up with adding and subtracting. So, 48+3-22=29.
So 29 is the answer.
Solution:
<u>Note that:</u>
1 min = 60 sec 1 h = 60 min. <em>The given time is in seconds. Convert it into minutes by dividing it by 60.</em>
=> 25,200 seconds = 25,200 ÷ 60 minutes = 420 minutes <em>The obtained time is in minutes. Convert it into hours by dividing it by 60.</em>
=> 420 minutes = 420 ÷ 60 hours = 7 hours <u>We can conclude that:</u>
25,200 seconds = 420 minutes = 7 hours