Perform the following translations on the giving figures.
1 answer:
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For this case, the first thing we must do is define variables:
p: plane speed
w: wind speed
With the wind in favor, the speed is:
With the wind against the speed is:
Rewriting both equations, we have the following system of equations:
Then, solving the system of equations (graphically for example), we have the solution is:
Therefore, jet stream's speed:
Answer:
A) p + w = 960; p - w = 600; jet stream's speed = 180 km / h
p: plane speed
w: wind speed
With the wind in favor, the speed is:
With the wind against the speed is:
Rewriting both equations, we have the following system of equations:
Then, solving the system of equations (graphically for example), we have the solution is:
Therefore, jet stream's speed:
Answer:
A) p + w = 960; p - w = 600; jet stream's speed = 180 km / h
Answer: The original price of brownie was $2.1 each.
Step-by-step explanation:
since we have given that
Let the original price will be x
Number of brownie purchased = 8
According to question , each brownie costs $0.20 less than the original price.
So, it becomes
Hence, the original price of brownie was $2.1 each.
The statements and reasons why the given statements are true are presented in the following two column proofs;
Question 1
Given: 9·(x + 6) - 41 = 75
Statement Reason
S1. 9·(x + 6) - 41 = 75 R1. <u>Given</u>
S2. 9·(x + 6) = 116 R2. <u>Addition property</u>
S3. <u>9·x + 54 = 116 </u> R3. Distributive property
S4. 9·x = 62 R4. <u>Subtraction property</u>
S5.
R5. <u>Division property of equality</u>
Question 2.
Statement Reason
S1. m∠A + m∠B = m∠D R1. Given
S2. ∠C and ∠D form a Linear Pair R2. Definition of linear pair
S3. ∠C and ∠D are supplementary R3. <u>Linear pair ∠s are supplementary</u>
S4. <u>∠C + ∠D = 180° </u> R4. Definition of supplementary
S5. m∠C + m∠A + m∠B = 180° R5. <u>Substitution property</u>
Question 3.
Statement Reason
S1. ∠BDA ≅ ∠A R1. Given
S2. ∠BDA ≅ ∠CDE R2. <u>Vertical angle theorem</u>
S3. ∠CDE ≅ ∠A R3. Transitive property of congruency
S4. m∠CDE = m∠A R4. <u>Definition of congruency</u>
S5. <u>(13·x + 20)° = (14·x + 15)°</u> R5. Substitution Property of Equality
S6. 14·x° = 13·x + 5° R6. <u>Subtraction property</u>
S7. x = 5 R7. Subtraction property
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