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
Answer: 275$
I'm not entirely sure I did this right! But at least try!!!
Step-by-step explanation:
20/100 = 55/x (cross multiply)
20x = 5,500 (divide)
X = 275
Hello from MrBillDoesMath!
Answer:
Increasing on the interval [-5, -2]
Discussion:
The function value remains unchanged on [-2, 1] and decreases on [1,8]
Thank you,
MrB
Answer:
n = 13
Step-by-step explanation:
1/5(n + 3) + 4 = 3/10(2n - 2)
~Simplify both sides
1/5n + 3/5 + 4 = 3/5n - 3/5
~Combine like terms
1/5n + 23/5 = 3/5n - 3/5
~Subtract 23/5 to both sides
1/5n = 3/5n - 26/5
~Multiply 5 to both sides
n = 3n - 26
~Subtract 3n to both sides
-2n = -26
~Divide -2 to both sides
n = 13
Best of Luck!