An office building is 52 feet away from where Ian is standing. A sign is placed on top of the office building. From the point on the ground where Ian is standing, the angle of elevation to the top of the sign and the angle of elevation to the bottom of the sign are 40∘(degrees) and 32∘(degrees), respectively as shown in the diagram below.

Amuffin recipe, which yields 12 muffins, calls for cup of milk for every 1 cups of flour. the same recipe calls for cup of coconut for every cup of chopped apple. to yield a batch of 30 muffins, how much flour will be needed in the mix?

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 two numbers if their sum is 91 and the ratio is 6: 7?