Answer:
25.8
Step-by-step explanation:
We use the segment of secants theorem to find x. The theorem states that the product of the lengths of one secant segment and its external segment equals the product of the lengths of the other secant segment and its external segment. That means (a+b)b=(c+d)d. Then we simply plug in the numbers: (x+5)5=(15+7)7. Then solve for x by simplifying (x+5)5= 154, divide by 5 on both sides, x+5= 30.8, and subtract 5 from both sides, x= 25.8.
