find the value of x for which a||b then find the missing angle justify each solution with a theorem or postulate

In triangle opq right angled at p op=7cm, oq-pq=1 determine the values of sinq and cosq

Miranda is braiding her hair. then she will attach beads to the braid. she wants 1_3 of the beads to be red. if the greatest number of beads that will fit on the braid is 12,what other fractions could represent the part of the beads that are red?

Set up and solve a proportion for the following application problem. if 55 pounds of grass seed cover 404 square feet, how many pounds are needed for 7272 square feet?