Answer:
∠2 ≅ ∠B
Step-by-step explanation:
Let the triangle be ABC,
Given that,
∠A = 50°
∠C = 65°
Using angle-sum property of the triangle,
∠A + ∠B + ∠C = 180°
50° + ∠B + 65° = 180°
∵ ∠B = 65° ...(i)
A.T.Q.
Two horizontal lines are extended making 3 angles. Two angles out of them are 50° and 65°.
Since the adjacent angles comprising a straight line is equals to 180°.
so,
∠2 + 50° + 65° = 180°
∠2 + 115° = 180°
∠2 = 180° - 115°
∵ ∠2 = 65° ...(ii)
Using (i) and (ii),
∠2 ≅ ∠B
Therefore, ∠2 and ∠B are congruent to one another.
Answer
Step-by-step explanation:
Answer:
increase
Step-by-step explanation:
- Given data is: 71, 67, 67, 17, 69, 84, 21, 87
- Arranging in ascending order we find: 17, 21, 67, 67, 69, 71, 84, 87
- 4th term = 67, 5th term = 69
- -> median = Sum of 4th and 5th term/2 = (67 + 69)/2 = 132/2 = 66
- Now, when one of the 67 is replaced by 71, the new data set in ascending order will be: 17, 21, 67, 69, 71, 71, 84, 87
- Here, 4th term = 69, 5th term = 71
- New median = (69 + 71)/2 = 140/2 = 70
- -> new median > initial median
CONCLUSION: Median will increase if the number 71 replaced one of the 67's in the set.
Answer:
<em>Yellow troop will complete the hike faster than blue troop</em>
<u>Blue troop hikes 1.33 miles in 1 hour</u>
<u>Yellow troop hikes 2.25 miles in 1 hour</u>
Missing portion:
Since the final statement is missing, so we will find how much distance can the troops travels in 1 hour and which troop can complete the hike faster.
Step-by-step explanation:
As given in the statement:
Blue troops travels 
miles ever 
hour:
hr = miles
1 hr = 
1 hr= 
miles = 1.33 miles
Blue troop hikes 1.33 miles in 1 hour
Yellow troops travels 
miles ever 
hour:
hr= miles
1 hr = 
miles
1 hr =
miles =2.25 miles
Yellow troop hikes 2.25 miles in 1 hour
<u><em>Yellow troop will complete the hike faster than blue troop</em></u>
The same with this question you divide 60 by 6 and you get 5
