Enrique says 0. ModifyingAbove 4 with bar is a rational number. Which of the following best describes whether Enrique is correct and why? Enrique is correct. Repeating decimals are rational numbers because they can be written as fractions. The number is actually equivalent to StartFraction 4 over 9 EndFraction. Enrique is correct. Repeating decimals are rational numbers because they can be written as fractions. The number is actually equivalent to StartFraction 4 over 10 EndFraction. Enrique is not correct. Repeating decimals are never rational numbers. Enrique is not correct. Some repeating decimals are rational numbers, but this one is not.

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12