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:
It will take 12 years for the trees to be at the same height.
Step-by-step explanation:
39.7 times 100, or:
3970 inches squared
<u>8.60</u> = <u> X </u>
50 100
"Percent" means "out of one hundred" (Latin).
Multiply the top by two, since 100 is twice 50, and the fractions will be equal.
The answer is 17.2%.
Answer:
Total cooking time = 20t + 15
The expression 15t + 20 is wrong.
Step-by-step explanation:
weight of chicken = t lbs
cook time per lb = 20 minutes
This means that:
1 lb weight requires a cooking time of 20 minutes
1 lb = 20 minutes
∴ t lbs = 20 × t = 20t minutes.
We were also told that each chicken required an extra cooking time of 15 minutes, in addition to the total cooking time due to the weight. Therefore, the total cooking time is calculated thus:
Total cooking time = cooking time due to weight + 15 minutes
Total cooking time = 20t + 15
Hence the expression 15t + 20 is wrong, due to the explanation given above.
