First, sort the sumbers in order from the least value to the greatest value.
37, 45, 59, 67, 76, 68, 77, 78, 82, 82, 84, 84, 85, 85, 88, 90, 91, 91, 92, 92, 93, 95, 100, 100
There 24 scores listed. Divide 24 by 2 and you get 12.. Find the 12th number in the ordered list from the least value, which is the number 84. Find the 12th score in the ordered list from the large value, which is 85.
Because there are two central numbers, add the two central numbers and divide it by 2.
84+85=169
169/2=84.5
Answer: SAS Similarity theorem.
Explanation.
SAS stands for Side - Angle - Side.
SAS theorem states that if two triangles have
corresponding angles that are congruent and corresponding sides
with identical ratios, then the triangles are similar.
And that is what the figure shows:
1) The angle at M is the same for both triangles.
2) The ratios of the sides are: 2/3 and 4 /6. Given that 2/3 = 4/6 you have that the two corresponding sides have identical ratios.
Answer: 10:55
Step-by-step explanation:
Taking statement at face value and the simplest scenario that commencing from 08:00am the buses take a route from depot that returns bus A to depot at 25min intervals while Bus B returns at 35min intervals.
The time the buses will be back at the depot simultaneously will be when:
N(a) * 25mins = N(b) * 35mins
Therefore, when N(b) * 35 is divisible by 25 where N(a) and N(b) are integers.
Multiples of 25 (Bus A) = 25, 50, 75, 100, 125, 150, 175, 200 etc
Multiples of 35 (Bus B) = 35, 70, 105, 140, 175, 210, 245 etc
This shows that after 7 circuits by BUS A and 5 circuits by Bus B, there will be an equal number which is 175 minutes.
So both buses are next at Depot together after 175minutes (2hr 55min) on the clock that is
at 08:00 + 2:55 = 10:55
