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) ∴ [tex](x+3)\times 3= (10+2)\times 2[/tex]
opening parethesis and distributing 3 with x and 3.
⇒ [tex]3x+9=24[/tex]
subtracting 9 on both side.
⇒ [tex]3x=15[/tex]
cross multiplying
∴ x= 5.
8) [tex](3+5)\times 5= (x+4)\times 4[/tex]
Opening parethesis and distributing 4 with x and 4.
⇒ [tex]8\times 5=4x+16[/tex]
⇒ [tex]40=4x+16[/tex]
subtracting 16 on both side.
⇒ [tex]24=4x[/tex]
cross multiplying
∴ x= 6.
9) [tex](x+5)\times 5= (6+4)\times 6[/tex]
opening parethesis and distributing 5 with x and 5.
⇒ [tex]5x+25=60[/tex]
subtracting 25 on both side.
⇒ [tex]3x=35[/tex]
cross multiplying
∴ x= 7.
