Based on the given inequality statement, which statement correctly describes where the values are located on a number line relative to each other? −19< −16 select from the drop-down menu to correctly complete the statement.-19 is located on the left, on the right, on the same position on a number line.  (;

As can be seen in the figure attached, -19 is located on the left of -16.

Every point of a number line is assumed to correspond to a real number, and every real number to a point. So as we love leftwards on the number line, the values keep on decreasing. Similarly while moving rightwards on the number line, the values keep on increasing.

So, because it is known that -19 < -16,

-19 is located on the left of -16.

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