The first false statement in the proof as it stands is in Line 5, where it is claimed that a line of length 2.83 is congruent to a line of length 4.47. This mistake cannot be corrected by adding lines to the proof.
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The first erroneous tactical move is in Line 4, where the length of DE is computed, rather than the length of FD. This mistake can be corrected by adding lines to the proof.
A correct SAS proof would use segment FD in Line 4, so it could be argued that the first mistake is there.
Answer:
3 hours 26 minutes
Step-by-step explanation:
1/8 + 1/6 = 1/t where t is the required time in hours.
Multiply through by 24t:-
3t + 4t = 24
7t = 24
t = 3 3/7 hours
or 3 hours 26 minutes to the nearest minute.
Answer:
40 dresses will fit in each box
Step-by-step explanation:
40,000 ÷ 1,000 = 40
Hope this helps
Answer:
b) 9x² - 3x
Step-by-step explanation:
Area of a rectangle = Length × Width
Area for the rectangle = 3x - 1 × 3x
Area = 
Step 1. Multiply by combining like terms
3x · 3x = 9x²
Step 2. Multiply -1 by 3x
-1 · 3x = -3x
Step 3. Combine 9x² and -3x
9x² - 3x
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Answer:
The probability that a part is good given that it passed the inspection machine is P=0.978.
Step-by-step explanation:
As the inspection machine detect and discard any part that is completely defective, only the good and partially defective parts passed this inspection.
Then, if we have:
Probability of being a good part P(G)=0.90
Probability of being a patially defective part P(P)=0.02
Probability of being a completely defective part P(D)=0.08.
Probability of passing the inspection machine = 1-P(D)=1-0.08=0.92
Then, the probability of having a good part, given that it passed the inspection machine is:
