1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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>
You might be interested in
Select all the expressions which are equivalent to<br> -4/3p - 2/5
AVprozaik [17]

Answer

-2/5 -4/3 p and -4/3p+ (-2/5)

Step-by-step explanation:

those two are the only answers that has both parts of the expressions as negative.

6 0
3 years ago
One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg ha
anastassius [24]
Solutions

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c². 

Given 

One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.

First leg (24 yards) would be α 

Second leg would be β

Hypotenuse (74 yards) would be c

Now we have points α β c.  

a² (24) + β² ( x ) = c² (74) 

Calculations 

c² = α² + β²

74² = 24²+ β² 

<span>5476 = 576 + </span>β² 

5476 - 576 = β²
<span> </span>
<span>4900 = </span>β² 

→√4900 
<span> </span>
β<span> = 70 yards 
</span>
<span>70 = 10x 
</span>
<span>x = 70</span>÷<span>10 = 7 yards  
</span>
The second leg = 7 yards
3 0
3 years ago
A bakery has 42 donuts and 24 muffins for sale. What is the ratio of muffins to donuts
Lana71 [14]
The ration is 12 muffins to every 21 donuts
6 0
3 years ago
Read 2 more answers
How many 2/5 are in 8?
umka21 [38]
Answer : 212
Reason why is because yu have 2/5 you multiply it across 8/1 5x1= 5 and 8x2= 16 then you will have 5/16 you divide 5 into 16 , 5 goes into 16 twice then subtract 16 and 10 then you would have 6 bring down the 0 and you have 60 . 5 goes into 60 12 times then you have your answer 212 .
4 0
3 years ago
The quantities x and y are proportional. Find the constant of proportionality r in the equation y = rx
ELEN [110]

Answer:

r = 7

Step-by-step explanation:

To solve this, we can plug in a pair of x and y values and solve for r.

y = rx | Plug in a pair

42 = r*6 | Now divide both sides by 6

7 = r.

We can test this by plugging in r with a pair.

y = (7)x

77 = 7*11, 77 = 77, This equation is correct.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Find the 86th term of the arithmetic sequence 18, 21, 24,
    9·1 answer
  • Gary is looking over his receipts from his trip to Europe. When he was in Germany, he exchanged US dollars for euros at a rate o
    6·2 answers
  • Use integer rules to evaluate: 85 + (-96) *
    15·1 answer
  • Use the distributive property to find 7(11-8)
    13·2 answers
  • Which expression has a value of 15 when
    8·1 answer
  • Which mathematical concepts did Euler's legacy include? Check all that apply.
    15·2 answers
  • The probability that Maria succeeds at any given free-throw is 75\%75%75, percent. She was curious how many free-throws she can
    8·2 answers
  • The sum of a number and two times a smaller number is 98. The bigger number is 22 less than three times the smaller number.
    13·2 answers
  • Find the length of side CB in the following right triangle
    12·2 answers
  • CAN SOMEONE HELP ME ON THIS QUESTION ASAP IT IS DUE IN 10 MORE MINUTES
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!