Question

pls give me answer♦♦✅✅✅✅

Answer 1

Answer:

x = 7

Step-by-step explanation:

From figure:

⇒ ∠DOC = ∠BOA

Since the diagonals of a trapezium divide each other proportionality.

AO/OC = BO/OD

⇒ (x + 5)/(x + 3) = (x - 1)/(X - 2)

⇒ (x - 2)(x + 5) = (x - 1)(x + 3)

=> x² + 5x - 2x - 10 = x² + 3x - x - 3

⇒ x² + 3x - 10 = x² + 2x - 3

⇒ x² + 3x - 10 - x² - 2x + 3 = 0

⇒ x - 7 = 0

⇒ x = 7

Therefore, the value of x = 7.

Hope it helps!

Answer 2

Answer:

7

Step-by-step explanation:

AO/OC = BO/OD

(x + 5)/(x + 3) = (x - 1)/(X - 2)

(x - 2)(x + 5) = (x - 1)(x + 3)

x² + 5x - 2x - 10 = x² + 3x - x - 3

x² + 3x - 10 = x² + 2x - 3

x² + 3x - 10 - x² - 2x + 3 = 0

x - 7 = 0

x = 7