12. Ainsley has decided to begin a 5-day sit-up challenge where she plans to increase the number of sit-ups completed each conse
cutive day by the same amount to
gradually build up her core muscle strength.
After talking with a friend who already began the challenge, she's aware that she needs to complete 20 sit-ups on Day 1 of the challenge and will complete 36 sit-
ups on the last day, Day 5.
gradually build up her core muscle strength.
After talking with a friend who already began the challenge, she's aware that she needs to complete 20 sit-ups on Day 1 of the challenge and will complete 36 sit-
ups on the last day, Day 5.
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°
