Wyatt hiked for 4.7 hours at a rate of 2.9 miles per hour. He determined that he hiked 13.63 miles. Which best explains the reasonableness of Wyatt's answer?
There are two digits to the left of the decimal in the factors and two digits to the left of the decimal in the product,
so Wyatt's answer is reasonable.
There are two digits to the right of the decimal in the factors and two digits to the right of the decimal in the
product, so Wyatt's answer is reasonable.
O Wyatt's answer is reasonable because 4x2 is 8, and 8 is close to 13.63.
O Wyatt's answer is reasonable because 5x 3 is 15, and 15 is close to 13.63.

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

9sandwiches per hour