Answer:
m∠ABC = m∠BED; Corresponding Angles Theorem
Step-by-step explanation:
<u>Given:</u> line BC is parallel to line ED m∠ABC = 70° m∠CED = 30°
<u>Prove:</u> m∠BEC = 40°
Statement Justification
1. line BC is parallel to line ED - Given
2. m∠ABC = 70° - Given
3. m∠CED = 30° - Given
4. m∠BEC + m∠CED = m∠BED - Angle Addition Postulate
5. m∠ABC = m∠BED - Corresponding Angles Theorem
6. m∠BEC + 30° = 70° - Substitution Property of Equality
7. m∠BEC = 40° Subtraction Property of Equality
A) 180-125 =55
B) both bottom angles are 55 and the triangle's angles should add up to 180, so 55 + 55 + x = 180. X = 70
C) CAE and CBD are equal so the bottom angle (that was calculated in A) will be the base acute angle —>55
Answer:
sin 50°
Step-by-step explanation:
Outbound Trip 120 miles 60 mph equals 2 hours
Return Trip 120 miles
Total Trip 240 miles at 45 mph average speed
Total time = distance / rate = 240 / 45 = 5.3333333333 Hours
The return trip of 120 miles takes (5.3333333333 Hours MINUS 2 hours)
Return Trip Speed = 120 / 3.333333333 = 36 miles per hour
There is no triangle below. Try to edit this problem.
