Answer:
First exercise:
![x=7](https://img.qammunity.org/2020/formulas/mathematics/high-school/5ymgceaqbtxby47vkmnw7y964ourmheca5.png)
Second exercise:
![x=2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rgwu4x0cp6hdykhfamznd7kqdkp0xgsg9s.png)
Explanation:
According to the Intersecting Secants Theorem the products of the segments of two secants that intersect each other outside a circle, are equal.
Knowing this, in order to solve the first exercise and the second exercise, we can write the following expressions and solve for "x":
For the first exercise, we get:
![(5)(5+x)=6(6+4)\\\\25+5x=60\\\\5x=60-25\\\\x=(35)/(5)\\\\x=7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/s5j73zreq9eff5qmjseeyzzcseg4yaky5e.png)
For the second exercise, we get:
![(4)(4+x)=3(3+5)\\\\16+4x=24\\\\4x=24-16\\\\x=(8)/(4)\\\\x=2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/g3bfy7gz21p1zrvquc1m60xcegp8ebrnjr.png)