The equation is given by:
Let the number be denoted by x.
Now, we are given a word phrase as follows:
One-third of a number less than nine is equal to seven.
Now this word phrase could be mathematically expressed as a equation by:
one-third of x is: 1/3 x
and this number less than 9 is given by:
Now, this number is equal to 7.
i.e. we finally have:
AB ⊥ l, B ∈ l, M ∈ AB , AM = 7 in, AB = 15 in.
Here AB is a line segment which is perpendicular to line I.
Point B lies on line I,and Point B lies on line segment AB.
⇒AB=15 [Given]
⇒AM+MB=15
⇒AM=7[given]
⇒7+MB=15
⇒MB=15-7
⇒MB=8in
So,the length of line segment MB is 8 in.
The same thing is depicted in the diagram.
