Find the value of x.
3x+4
8
5x+2
7
Answer:
x=3
Step-by-step explanation:
Segments of Secants Theorem
The product of the length of one secant segment and its external part is equal to the product of the length of the other secant segment and its external part.
8 * (3x+4+8) = 7 * (5x+2+7)
Combine like terms.
8 ( 3x+12) = 7(5x+9)
Distribute.
24x+96 = 35x+63
Subtract 24x from each side
96 = 11x+63
Subtract 63 from each side
33 = 11x
Divide each side by 11
3 =x