PLEASE HELP ME ON THESE QUESTIONS A. S.A. P A circular railroad-crossing sign has a diameter of 30 inches. Which measurement is closest to the area of the sign in square inches?
A. 94.2 in. 2 squared inches

B. 188.4 in. 2 squared inches

C. 706.5 in. 2 squared inches

D. 286.6 in. 2 2 squared inches

The train at an amusement park is a scale model of a full-size train. A measure of 0.15 meter on the train at the amusement park represents 1 meter on the full-size train. The train at the amusement park is 21 meters long. What is the length of the full-size train in meters?

A. 140 m

B. 21.15 m

C. 315 m

D. 36 m

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

The mode of the numbers is 29.