Circle r has a radius of line segment of qr and qp is a tangent to circle r at point q. (picture attached) (a) what is the measure of rqp? explain your answer. (b) what is the value of x? explain your answer with work. (c) what is the measure of qrp? explain your answer with work. (d) what is the measure of rpq? explain your answer with work.

Find the length of the diagonal of the rectangle. round your answer to the nearest tenth. || | | 8 m | | | | 11 m

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

If x-1 and x+3 are the factors of x3+10x2+ax+b find a and b