Mikai walks her dog Rufus take regular walks
2 answers:
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Answer:
- OT⊥BA;T is the midpoint of BA-------Given
- ∠BTO and ∠ATO are right angles ---Definition of perpendicular lines
- ∠BTO≅∠ATO---------------------------------All right angles are congruent
- T is the midpoint of BA------------------ Given
- TA≅TB-------------------------------------------Definition of midpoint
- TO≅TO------------------------------------------Reflexive
- ΔBOT≅ΔAOT---------------------------------SAS
Step-by-step explanation:
Given that ⊥
and
is the midpoint of
As ⊥
,
∠ and ∠
are right angles (Definition of perpendicular lines)
⇒∠≅ ∠
(All right angles are congruent)
T is the midpoint of (given)
⇒≅
(Definition of midpoint)
≅
(Reflexive)
Therefore, Δ≅Δ
(by SAS criteria ):
conditions:
- ∠
∠
Answer:
Step-by-step explanation:
Given that Prof Liu gave the same quiz to the students in her morning class and in her afternoon class. the average score for the two classes combined was 84.
(1) The average score for the students in the morning class was 80
(2) the average score for the students in the afternoon class was 86
Let m be the no of students in I class and n in II class
Total of I class = 80m and
Total of II class = 86n
Total of both classes = 80m +86n
Average =
m cannot be equal to n because in that case average would have been 83
If m >n, then say n =m+a
then average =
Because 86 is more times added, average score would decrease hence we would not get 84.
So I class is getting less score of 80 to get a score average of more than 83 (the average) the class II should have more students.
Answer:
Consecutive interior angles
Step-by-step explanation:
This chart may also help
