Use the diagram to derive the law of cosines. Fill in the missing statements in the derivation. 1) a2 = h2 + x22) h2 = 3) c2 = h2 + (b − x)2 4) c2 = h2 + 5) c2 = a2 − x2 + b2 − 2bx + x26) c2 = a2 + b2 7) x = acosC 8) c2 = a2 + b22abcos

Meghan has created a diagram of her city with her house, school, store, and gym identified. a. how far is it from the gym to the store? b. meghan also wants to walk to get some exercise, rather than going to the gym. she decides to walk along arc ab. how far will she walk? round to 3 decimal places.

How does reflecting or rotating a figure change the interior angles of the figure?

Events a and b are independent. the probability of a occurring is 2/5. the probability of b occurring is 1/4. what is p(a and b)?