Answer: The correct option is (D) 24.
Step-by-step explanation: We are given to find the value of x from the given figure, where MO is an angle bisector.
From the figure, we note that
MO is the angle bisector of angle M in ΔLMN, where
ML = x cm, MN = 12 cm, LO = 41 cm and ON = 7 cm.
We have the following theorem :
<u><em>Angle bisector theorem </em></u>: An angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.
Applying the above theorem in the given triangle LMN, we have
Thus, the required value of x is 24.
Option (D) is CORRECT.
If we're only counting 5 vowels (A, E, I, O, U) and 20 consonants (everything else, minus T), then there are
ways of picking the vowels, and
ways of picking the consonants.
We want the word to start with T, and we'll allow any arrangement of the other 4 letters, so that the total number of words is
Keep in mind that this means words like TRIES and TIRES are treated as different.
