Answer: Annette will take 6 hours to do the entire job alone.
Step-by-step explanation:
Given: Time taken by Kelly to do of job = 2 hours
i.e. Time for complete job done alone by Kelly =
Rest of work = of the job
of the complete job done by both Kelly and Annette in 3 hours
Time would be taken by then to do entire job together =
Let t be the time taken by Annette to do job alone.
Then, as per situation
hence, Annette will take 6 hours to do the entire job alone.
Answer:
18
8 - 8 = 0 , 8 * 5 / 4 = 10 , 8 * 4 - 8 = 24
8 - 8 = 0
8 * 5 = 40 / 4 = 10
8 * 4 = 32 - 8 = 24
<u>Question 4</u>
1) bisects , , and (given)
2) (an angle bisector splits an angle into two congruent parts)
3) and are right angles (perpendicular lines form right angles)
4) and are right triangles (a triangle with a right angle is a right triangle)
5) (reflexive property)
6) (HA)
<u>Question 5</u>
1) and are right angles, , is the midpoint of (given)
2) and are right triangles (a triangle with a right angle is a right triangle)
3) (a midpoint splits a segment into two congruent parts)
4) (HA)
5) (CPCTC)
<u>Question 6</u>
1) and are right angles, bisects (given)
2) (reflexive property)
3) (an angle bisector splits an angle into two congruent parts)
5) (HA)
6) (CPCTC)
7) bisects (if a segment splits an angle into two congruent parts, it is an angle bisector)
<u>Question 7</u>
1) and are right angles, (given)
2) and are right triangles (definition of a right triangle)
3) (vertical angles are congruent)
4) (transitive property of congruence)
6) (HA theorem)
7) (CPCTC)
8) bisects (definition of bisector of an angle)