(14pts) Please help me with this question on my homework
1 answer:
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*see attachment for the missing figure
Answer:
Angle ADE = 45°
Angle DAE = 30°
Angle DEA = 105°
Step-by-step explanation:
Since lines AD and BC are parallel, therefore:
Given that angle Angle CBE = 45°,
Angle ADE = Angle CBE (alternate interior angles are congruent)
Angle ADE = 45° (Substitution)
Angle DAE = Angle ACB (Alternate Interior Angles are congruent)
Angle ACB = 180 - 150 (angles on a straight line theorem)
Angle ACB = 30°
Since angle DAE = angle ACB, therefore:
Angle DAE = 30°
Angle DEA = 180 - (angle ADE + angle DAE) (Sum of angles in a triangle)
Angle DEA = 180 - (45 + 30) (Substitution)
Angle DEA = 180 - 75
Angle DEA = 105°
You have to cross multiply (multiply the numerator of the first by the denominator of the second and the numerator of the second by the denominator of the first).
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Answer:
The average rate of change of the cost of a pack is 22 cents per year.
Another name for the average <em>rate of change</em> is <em>slope</em>.
Step-by-step explanation:
The average rate of change of the cost of a pack (), in monetary units per year, is equal to the change in the average cost of a pack (
), in monetary units, divided by the change in time (
), in years. Then, the average rate of change is:
The average rate of change of the cost of a pack is 22 cents per year.
Another name for the average <em>rate of change</em> is <em>slope</em>.