Question

Find the value of x. 7, 8, and 9 please!

Answer 1

Answer:

7) x= 5, 8) x= 6, 9) x= 7

Step-by-step explanation:

As per the secant theoram, if two secant intersect outside the circle then the product of the exterior secant and total length of each secant are equal.

7) ∴ $(x+3)\times 3= (10+2)\times 2$

opening parethesis and distributing 3 with x and 3.

⇒ $3x+9=24$

subtracting 9 on both side.

⇒ $3x=15$

cross multiplying

∴ x= 5.

8) $(3+5)\times 5= (x+4)\times 4$

Opening parethesis and distributing 4 with x and 4.

⇒ $8\times 5=4x+16$

⇒ $40=4x+16$

subtracting 16 on both side.

⇒ $24=4x$

cross multiplying

∴ x= 6.

9) $(x+5)\times 5= (6+4)\times 6$

opening parethesis and distributing 5 with x and 5.

⇒ $5x+25=60$

subtracting 25 on both side.

⇒ $3x=35$

cross multiplying

∴ x= 7.