Judith and her family are packing for a hiking trip and want to create trail mix for their journey. there are 30 tablespoon of raisins and 54 tablespoon of peanuts. they want to use all ingredients while making as many bags as possible. using tablespoon to measure how many identical sized trail mix bags can she make?

  6 bags

Step-by-step explanation:

The greatest common factor of 6·5 = 30 and 6·9 = 54 is 6. Judith can make 6 bags of trail mix, each with 5 Tbsp of raisins and 9 Tbsp of peanuts.

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh