The regular price of a child's entry ticket to a water park is $8 less than that for an adult's. the park offers half off all entry tickets during the off-peak season. the sandlers paid a total of $194 for 1 adult ticket and 4 child's tickets to the water park during the off-peak season. the following equation represents this situation, where x represents the regular price of an adult ticket: 194 = one half x + 2(x − 8) what is the regular price of a child's ticket?

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