COMPLETE ANSWER THE ANSWER TO THE QUESTION IS I WILL VOTE BRAINLIEST

Solve the following problems:
1. An inscribed angle measures 58°. What is the measure of its intercepted arc?

2. Find the measure of the central angle if it intercepts an arc of 48º.

3. Quadrilateral PQRS is inscribed in a circle. If the measure of angle P is 65°, what is the measure of angle R?

4. If a secant and a tangent intersect in the exterior of the circle to form 38° angle and the lines intercept two aros on the given circle such that the larger intercepted are measures 113°. Find the measure of the smaller intercepted arc.

5. The angle formed by two secants intersecting in the interior of the circle has a degree measure of 59º. One of the intercepted arcs is 98°, find the measure of the other arc.

6. Two tangents intersect at a point in the exterior of the circle and formed an angle of 56°. What is the measure of the major intercepted arc? Minor intercepted arc?

7. The angle formed by two secants intersecting in the exterior of the circle has a degree measure of 54'. One of the intercepted arcs is 689, find the other arc,

8. The segments of one of the two intersecting chords are 10 cm and 15 cm. If one segment of the other chord has a length of 20 cm, find the length of the other segment of chord.

9. A tangent and a secant intersect at a point in the exterior of the circle. If the external secant segment measures 7 cm and the internal secant segment has a length of 9 cm, what is the length of the tangent segment?

10. Two tangents intersect at a point in the exterior of the circle. If the major intercepted arc measures 210°, find the measure of the angle formed by these two tangents.

In january 2010, you began a one-year study of tuberculosis (tb) in a subsidized housing community in the lower east side of new york city. you enrolled 500 residents in your study and checked on their tb status on a monthly basis. at the start of your study on january 1st, you screened all 500 residents. upon screening, you found that 30 of the healthy residents had been vaccinated for tb and therefore were not at risk. another 20 residents already had existing cases of tb on january 1st. on february 1st, 5 residents developed tb. on april 1st, 10 more residents developed tb. on june 1st, 10 healthy residents moved away from new york city and were lost to follow-up. on july 1st, 10 of the residents who had existing tb on january 1st died from their disease. the study ended on december 31, 2010. assume that once a person gets tb, they have it for the duration of the study, and assume that all remaining residents stayed healthy and were not lost to follow-up. is the subsidized housing community in the lower east side of new york city a dynamic or fixed population? briefly explain the rationale for your answer. dynamic population it can changeable people can move out and move in into the population of a subsidized housing what was the prevalence of tb in the screened community on january 1st? prevalence = 30/500 0.06= 6% what was the prevalence of tb on june 30th? prevalence= 40/450=0.08= 8.88% what was the cumulative incidence of tb over the year? cumulative incidence = number of new cases/number in candidate population)over specified time period 10/450 = 2.2% suppose that you wanted to calculate the incidence rate of tb in the study population. calculate the amount of person-time that would go in the denominator of this incidence rate. be sure to show your work.