Answer:
x = 8.3
Explanation:
Given a tangent and 2 secants drawn to the circle from an external point then
The square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant.
Using the secant with measure 4 + x, then
4(4 +x) = 7²
16 + 4x = 49 ( subtract 16 from both sides )
4x = 33 ( divide both sides by 4 )
x = 33 ÷ 4 = 8.25 ≈ 8.3 ( nearest tenth )