The given statement about similar triangles is TRUE.
Similar Triangles Theorem :: Similar triangles are two triangles with corresponding angles of equal measure, and the ratios of their corresponding sides' lengths are equal.
We know that,
Alternate Exterior Angles Theorem::
The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent .
Converse of the Alternate Exterior Angles Theorem ::
Converse of the Alternate Exterior Angles Theorem states that, If two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel.
We know that a negative value plus a positive value always count backward and the sign depends on the bigger value sign.
When you are adding a negative number to a positive number, then the value counts backward and takes the sign of the biggest number.
For example::
Adding -5 and +2
-5 + 2 = -3 (big number is 5 and its sign is '-')
Adding -3 and +5
+5 + (-3) = 5 - 3 = +2(big number is 5 and it has sign '+').
The worst case complexity of linear search is O(n).
6 choose 3 means number of possible unordered combinations when 3 items are selected from 6 available items i.e, nothing but 6C3.
Now 6C3 = 6 x 5 x 4/3 x 2 x 1 = 120/6 = 20.
If After p years , commodity X will cost 60 rupees more than the commodity Y, then
320 + 60p = 740 + 20p + 60
=> p = 12
So in year (2002 + 12 = 2014), commodity X will cost Rs.60 more than the commodity Y.
At 1 pm ... Distance between A and B = 2x3.5 = 7 kms
at 2 pm .....Distance between A and B = 7 + 3.5 - 1 = 9.5 kms
At 3 pm ....Distance between A and B = 9.5 + 3.5 - 2 = 11 kms.
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At 7 pm distance between A and B = 3 kms.
From 7 pm to 8 pm, speed of A = 3.5 kmph
speed of B = 8 kmph
Relative speed = 4.5 kmph
Time taken by B to meet A = 3/4.5 hrs = 30/45 hrs = 120/3 mins = 40 mins.
So meeting time is 7 : 40 PM.
Total number of cards = 1500
total columns = 45
so, total punches=1500 x 45 = 67500
for 1 hour if we make 9000 punches,
we require 67500/9000 = 7.5
so 7hours:30mins.
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