Answer:
Figure 1: x=7
Figure 2: x=2
Step-by-step explanation:
Figure 1:
In a given circle, two secant intersect externally.
Intersecting Secants Theorem: If two secants intersect externally then product of their segments is constant.
Thus,
[tex](x+5)\times 5=(4+6)\times 6[/tex]
[tex]5x+25=60[/tex]
[tex]5x=60-25[/tex]
[tex]5x=35[/tex]
[tex]x=7[/tex]
Figure 2:
Using same theorem as above.
[tex](5+3)\times 3=(x+4)\times 4[/tex]
[tex]24=4x+16[/tex]
[tex]4x=24-16[/tex]
[tex]4x=8[/tex]
[tex]x=2[/tex]
