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
Parallel = same slope
Find slope of 3x + 5y = 8
Turn into y = mx + b
5y = -3x + 8
Divide by 5
y = -3/5x + 8/5
Slope is -3/5
Y = -3/5x + b, find y intercept
Plug in the point
4 = -3/5(10) + b
4 = -6 + b, b = 10
Final equation: y = -3/5x + 10
Answer:
Billy used 28 mins 30 sec to mow the lawn and Bobby used 43 mins 30 sec to now the lawn both within 72 mins
Step-by-step explanation:
let x represent Billy
let x+15 represent Bobby
x + x + 15 = 72
2x = 72 - 15
2x = 57
2x/2 = 57/2
x = 28.5 minutes = 28 minutes 30 seconds
Bobby = x + 15
= 28.5 + 15
= 43.5 minutes= 43 minutes 30 seconds
Answer:
8
Step-by-step explanation:
You can divide 1000 by 4 then multiply a number to get 2500
1000/4= 250
250 x 10 = 2500
Answer: 10 hours
