If a line is perpendicular to a radius of a circle at is endpoint that is on the circle then the line is tangent to the circle Given: RS is a radius of O c at D.
PQ CD
prove: PQ is tangent to O S at R​

Examine the paragraph proof. which theorem does it offer proof for? prove jnm – nmi according to the given information in the image. jk | hi while jnm and lnk are vertical angles. jnm and lnk are congruent by the vertical angles theorem. because lnk and nmi are corresponding angles, they are congruent according to the corresponding angles theorem. finally, jnm is congruent to nmi by the transitive property of equality alternate interior angles theorem gorresponding angle theorem vertical angle theorem o same side interior angles theorem

Daniel buys one bond each with a par value of $1,000 from grath oil, ombor medical supplies, and dwyn horticulture. grath oil bonds are selling at 120.514, ombor medical supplies bonds are selling at 90.773, and dwyn horticulture bonds are selling at 101.180. what is the total face value of daniel's bonds?

Angle x and y are complementary. angle x is supplementary to a 128° angle. what are the measures of angle x and angle y? write an equation to solve for x first. then find the measure of angle y