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Consider the diagram shown and answer the following questions; the radius of this circle is 6 inches.

a. Define how lines a, b, c, and d relate to circle P. (What special names do these lines have in relation to the circle?)
b. If the measure of angle OPS is 139°, what extra information would we need to calculate the measure of angle ORS using intersecting chords? Explain how we can use this information to calculate the angle.
c. Segment NS is 14 the length of segment TO. Explain how theorem 65 would allow us to calculate the length of segments RO, RS, RV, and RT.

Consider the diagram shown and answer the following questions the radius of this circle is 6 inches a Define how lines a b c and d relate to circle P What speci class=

Respuesta :

MrRoyal

The additional information needed to calculate ORS are the measures of SPR and PSR

The special names of the lines

The lines are given as:

Lines a, b, c and d

The special names of the lines are as follows:

  • Line a: A secant. This is because the line divides the circle into unequal segments
  • Line b: A tangent: This is because the line touches the circle at a point on the circumference
  • Line c: A diameter. This is because the line divides the circle into equal segments
  • Line d: A secant. This is because the line divides the circle into unequal segments

The additional information needed

The angle is given as:

OPS= 139 degrees

Start by calculating SPR using

SPR = 180- 139

SPR = 41 degrees

So, the additional information needed to calculate ORS are the measures of SPR and PSR

How to calculate the lengths RO, RS, RV, and RT

The theorem 65 is not stated.

So, the question cannot be answered

Read more about circle theorems at:

https://brainly.com/question/19906313

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