If a series of rigid transformations maps ∠F onto ∠C where ∠F is congruent to ∠C, then which of the following statements is true
?
triangles ABC and FDE, in which angles A and D are right angles
ΔABC ~ ΔFDE because of the definition of similarity in terms of similarity transformations
ΔABC ~ ΔFDE because of the AA similarity postulate
segment BC ~ segment EF because of the definition of similarity in terms of similarity transformations
segment BC ~ segment EF because corresponding parts of similar triangles are proportional
triangles ABC and FDE, in which angles A and D are right angles
ΔABC ~ ΔFDE because of the definition of similarity in terms of similarity transformations
ΔABC ~ ΔFDE because of the AA similarity postulate
segment BC ~ segment EF because of the definition of similarity in terms of similarity transformations
segment BC ~ segment EF because corresponding parts of similar triangles are proportional
1 answer:
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Answer:
The guard should be positioned at the safe
Step-by-step explanation:
The night watchmen should be positioned to guard whichever place gives the highest expected value to the thief.
The expected value of robbing the safe is:
The expected value of robbing the cash register is:
Therefore, the guard should be positioned at the safe since it yields a higher expected value to the thief in case he tries to rob it.
Answer:
The system is inconsistent.
Step-by-step explanation:
The system is
The associated matrix to the system is
Now we use row operations to find the echelon form of the matrix:
1. We substract to row 2, two times the row 1.
We substract to row 3, three times the row 1.
We substract to row 4, four times the row 1 and obtain the matrix
2. We multiply the second row of the preview step by -1/4. We obtain the matrix
3.
We add to row 3, eight times the row 2.
We add to row 4, fourtheen times the row 2 and obtain the matrix
4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix
Using backward substitution we have that
, then
and this is absurd. Then The system is inconsistent.
Answers:
- Incorrect
- Correct
- Correct
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Explanation:
When applying any kind of reflections, the parallel sides will stay parallel. Check out the diagram below for an example of this.
So PQ stays parallel to RS. Also, QR stays parallel to PS.
The statement "PQ is parallel to PS" is incorrect because the two segments intersect at point P. This letter "P" is found in "PQ" and "PS" to show the common point of intersection. Parallel lines never intersect.
