Question

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

Answer 1

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

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)* 3= (10+2)* 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)* 5= (x+4)* 4`

Opening parethesis and distributing 4 with x and 4.

⇒
`8* 5=4x+16`

⇒
`40=4x+16`

subtracting 16 on both side.

⇒
`24=4x`

cross multiplying

∴ x= 6.

9)
`(x+5)* 5= (6+4)* 6`

opening parethesis and distributing 5 with x and 5.

⇒
`5x+25=60`

subtracting 25 on both side.

⇒
`3x=35`

cross multiplying

∴ x= 7.