Which statement is true about the segment connecting points b and c? a. there are only two points on the entire segment b. the segment extends infinitely in both directions c. there is only one way to name the segment d. the segment has finite length that can be measured

D. the segment has a finite length that can be measured

Option: d is the correct answer.

d.  the segment has finite length that can be measured.

Step-by-step explanation:

We know that a line segment is a line that has both the end points.

Also, the length of such a segment is finite since both the end points are known and with the help of the distance formula we may easily get to know the length of the segment.

Distance formula says that the distance between the points (a,b) and (c,d) is given by:

     

     Hence, the statement that is true  about the segment connecting points b and c is:

       d. the segment has finite length that can be measured

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