What is the value of x? the figure shows 2 right triangles, triangle k l j with right angle j and triangle l j m with right angle m. the measure of angle l k j is 30 degrees. the measure of angle l j m is 45 degrees. the length of side k l is 8 square root 2. the length of side l m is x. enter your answer in the box.

Given the choice between receiving $1.000.000 in one month or a single penny-doubled everyday for the period of one month; which option would you choice? show your work to support your answer. (assume that 1 month=30 days)

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

Find the amplitude of a sinusoidal function that models this temperature variation